Re: [RCSE] Icon 2

2007-12-18 Thread Mark Drela

Get in line folks - this is gonna be a biggy, both literally and figuratively. 
Designed by the intrepid Dr. Mark Drela, this new high aspect ratio 
F3J/Thermal 
Duration plane has a wing span of 150 (3.81 m) and a VERY slender 2.4 
friendly 
pod and carbon boom.

Just for the record, I really didn't design the Icon 2.
I was more of a consultant.  Don Peters and Phil Pearson
have been doing all the detail design work.

MD
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[RCSE] Top end speed in MPH ! Math quiz

2006-09-26 Thread Mark Drela

First of all, if the glider is being pulled level,
the winch doesn't see the weight, only the drag.
The drag is tiny compared to the winch's pull capability,
so it will be spinning at nearly its zero-load speed.

I think a typical Ford LS 6V has Kv=350 rpm/Volt,
so at 12 Volts it will be spinning at 
  rpm = 350*12 = 4200 rpm = 70 rps

With a 3 diameter drum, the line speed will be 
  3 * pi * 70 rps = 660 in/s = 55 ft/s = 37.5 mph

Seems about right.  In any case, you can check it 
by timing how long it takes the winch to pull the chute 
some measured distance.


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Re: [RCSE] Super AVA airfoil

2006-08-18 Thread Mark Drela

The intended airfoils for the AVA center panel are 
AG24 in the center, transitioning to AG25 at the joiner.
I don't know how close the actual wing is to these.

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[RCSE] re: Rudder Stalls and Turns

2006-08-02 Thread Mark Drela

There is a tendency for R/E models to pitch up when a turn is
initiated due to gyroscopic precession. 

Yes.  But this precession effect is very very weak.  In my simulation
of a BD being given a fast 30 degree rudder input, the nose pitches up 
by only 0.03 degrees.  

Nevertheless, in this ruddering maneuver of a r/e glider, there is 
indeed a sudden large AoA increase of about 3 degrees (more than enough 
to cause a rudder stall).  But the cause is simply due to the linear 
inertia of the glider, not to precession.  Imagine this sequence
during a rudder turn, with the rotation angles exaggerated 
to show the effect:

1) Glider is flying level in a straight line.
2) Glider yaws  to the right 45 degrees (while still moving along the straight 
line)
3) Glider rolls to the right 45 degrees along its now-yawed fuselage axis 
(while still moving along the straight line)

You will see that the glider's belly now faces the oncoming wind along the
original direction of motion, which constitutes an Angle of Attack increase.

In reality, the glider's yaw, roll, and turn motions will all blend together
with some lags between them, but the effect to cause the AoA increase
will still be there.

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Re: [RCSE] 2M Rambles

2006-08-02 Thread Mark Drela

I've written on this topic before, but I think it might be good to repeat it.

The reason that most 2m gliders fly like crap (quoting one CRRC flier),
is that they are WAY too heavy for their span.  Consider a log-log plot 
of weight versus span.  The following three points lie roughly 
on a straight line:

1.5m, 10 oz
2.0m, 19 oz
3.4m, 60 oz

All three gliders will have good flying characteristics, and are
able to work very light lift.  A 40 oz 2-meter is off the chart,
and will fly like a lead sled in comparison.  Adding wing area
via lower aspect ratio helps with the minimum turn radius,
but it worsens the max L/D and doesn't help min sink all that much
because of the increased induced drag.

As was recently pointed out, the main problem with a 19 oz 2-meter 
is building it strong enough to take a winch sized for 3m+ gliders.  
Compounding the problem is that a ~20 oz 2-meter ship wants airfoils 
which are more like those on a DLG rather than on the 3m ships.  
Such thin airfoils make the structural problem even more severe.

If we were all launching on 12v winches with correspondingly lighter lines, 
the light 2m gliders would likely be competitive with the 3m ships, 
because the 2m ships would launch higher.  Their maneuverability
and lower speeds on landing is another advantage.



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RE: [RCSE] re: Rudder Stalls and Turns

2006-08-02 Thread Mark Drela

When a rudder stalls due to AoA deflection, what would a pilot see? 
Is there less rudder response? 

I'm not sure what the original poster (Jay Hunter) meant by rudder stall.  
It was either 
1) deflecting the rudder causes the glider to stall, or 
2) the rudder itself stalls.

Effect 1) can easily happen if there's enough roll-due-to-yaw coupling, 
which of course is strongest on a r/e glider.  So if your poly ship 
is flying straight at minimum sink on the edge of stall, and you 
simply slam the rudder hard over, the wing will almost surely stall.  
As Blaine pointed out, an experienced poly pilot will unconsciously 
apply some down elevator along with the rudder to prevent this stall 
when rolling into a turn.
  
On a flat wing airplane this effect doesn't exist, and there's 
no need to apply this down-elevator correction.

Effect 2) will happen with enough rudder deflection and/or sideslip,
but it's almost certainly inconsequential.  When a low-AR surface 
like a vertical tail stalls, its lift typically will just level off 
rather than dropping sharply.  So you probably won't even notice it.

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Re: [RCSE] Push Rods

2006-04-17 Thread Mark Drela

I've done quite a bit of soldering with stainless steel,
since most of my pushrods and my RDS hardware is SS.
I simply use acid flux, aka tinner's fluid, together 
with ordinary soft solder and a normal soldering iron.  
Nothing fancy.  The acid flux is hydrochloric acid with 
zinc chloride salt -- not really toxic, just corrosive.

I thoroughly clean the SS with clean 320 grid sandpaper, 
apply the flux, and touch with the molten solder.
About half the time the solder doesn't grab completely, 
just in some spots.  No problem... I just keep applying flux 
to the piece (while hot), until it tins completely.  
Two or three tries usually does it.

If you're worried about corrosion, a good trick is to first 
tin the SS using the acid flux, and clean it completely.
Then you can use regular rosin flux to make the actual joint.


I never use high strength solders which require a torch,
because a torch will turn hard piano wire or most hard SS
into soft annealed coat-hanger material, which usually
defeats the purpose of the strong solder.  This is not
a problem with soft solder.
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Re: [RCSE] Supra #42 problem

2006-03-29 Thread Mark Drela

It looks to me like the bolt anchor mounts extend down 
into the pylon, but nowhere near as far as they could. 

A sound fix would be to switch to longer bolts
which go all the way through the existing anchors,
and into epoxy/glass-flox threads potted in between
the pylon walls.  This may require tapping through
the bolt anchords, dunno.

If the bolt extends down below the point where the pylon
flares out at the bottom, then the bolt will be mechanically
trapped, so you're not relying on the epoxy's peel strength.

Potting longer bolts should be straightforward even if the
platform plate is still intact.  Just use a syringe to inject
epoxy/flox splooge through the bolt holes.  Or maybe through
the pylong access hole?  Then screw in the well-waxed bolts.


BTW, the best way to prepare the CF surface for bonding
is to wet sand it with wet epoxy.  
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Re: [RCSE] Gluing Servos v.s. Servo Frames

2006-03-09 Thread Mark Drela

If keeping a few grams out from around the servo holes
improves yaw inertia by 5% then how can loading your
tube spar with ounces ballast be a real benefit?

First of all, the contribution of any added weight
to the inertia depends on the square of the distance
of the added weight from the CG.  So adding mass
at the tips is 4x worse than adding mass halfway out.

Here's how much 10g of added mass (5g on each side) 
adds to the percentagewise inertia of a 60 oz Supra, 
versus spanwise position of the added mass:

 y=67:  +4.0%   at tip
 y=36:  +1.1%   at outer servo
 y=10:  +0.1%   at inner servo


Second of all, what really matters for handling quality
is not the inertia, but the inertia/mass ratio.  This makes
adding mass near the center even less consequential.  Here
are the effects of the 10g mass on the inertia/mass ratio:

 y=67:  +3.4%   at tip
 y=36:  +0.6%   at outer servo
 y=10:  -0.5%   at inner servo

So adding mass near the tips is still quite bad.  But adding mass
near the center (inner servos, wing ballast, etc) actually 
makes things better, not worse.


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RE: [RCSE] Carbon Supra #48 flies - weight 61 oz !

2006-02-23 Thread Mark Drela

Did anyone else notice that the calculated flap servo torque requirement (62
in-oz) is higher than the specs on all commonly used servos other than the
Volz Micro Maxx HP. The JR DS368 is spec'ed at 53 oz-in. The thin wing
servos, JR DS-168 and Hitec equivalent at 46.6 oz-in.

Two comments:

1) What Daryl said.  The assumed 200 lb load is kinda huge.

2) If the flaps and ailerons don't move significantly during 
the last few seconds before the zoom where the load maximizes, 
then the torque requirements I quoted are for holding torque, 
not working torque.  AFAIK, digital servos like the DS368 
have way more holding torque than their spec'd torque.  
In that case they should be OK for the flaps.






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Re: [RCSE] Carbon Supra #48 flies - weight 61 oz !

2006-02-23 Thread Mark Drela

What about elevator loads?  And elevator servo moment?  How would
that be calculated?

The all-moving Supra stab is aerodynamically balanced,
so the stab servo loads from the airload are minimal.

The only loads the stab servo will see is due to the 
inertial load when the boom cracks the whip in the zoom.

I have no idea what the associated accelerations of the tail
might be here, but let's assume the tail is accelerated vertically
at 100 G's.  The 1 oz stab then weighs 100 oz.  Since the 
stab's CG is about 0.5 behind the pivot, the hinge moment
will be 50 in-oz.  With the typical 2:1 horn length ratio
for an all-moving tail, this translates to 

 Stab servo moment  =  25 in-oz

But again, the crucial assumption here is the 100G vertical acceleration
of the tail.  No idea what it really might be.  It could probably
be estimated from a high-speed telephoto movie of the zoom seen
from the side.


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Re: [RCSE] Carbon Supra #48 flies - weight 61 oz !

2006-02-20 Thread Mark Drela

Molded Supra launch hinge moments are listed below,
for a 200 lb tow load (hard F3j launch).  For smaller
tow loads, hinge moments will be proportionally smaller.

wing camber = +10 deg
rudder defl =  30 deg
wing CL = 1.2
lift = 200 lbs
q = 0.16 psi = 1104 Pa
V = 95 mph = 42.5 m/s

Flap hinge moment  =  4.87 in-lb  =  78 in-oz  =  5.62 kgf-cm
Ail. hinge moment  =  3.15 in-lb  =  50 in-oz  =  3.60 kgf-cm
Rud. hinge moment  =  2.12 in-lb  =  34 in-oz  =  2.45 kgf-cm


To get the servo moment (torque), this hinge moment must be multiplied
by a linkage geometry factor, which is approximately by the ratio of 
servo/surface horn lengths.  This is between 0.7 - 0.9 for most installations.
Assuming a horn length ratio of 0.8, the servo moments are:

Flap servo moment  =  62 in-oz
Ail. servo moment  =  40 in-oz
Rud. servo moment  =  27 in-oz

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Re: [RCSE] Molded Supra Raw Weights

2006-01-25 Thread Mark Drela

The next thing, I am trying to understand why some people are talking 
about having to add on the order of 4 oz of nose weight to balance. 
Was this due to variations in fin, stab, boom, or pod weights, 
or is this inherent to the molded design?


Most likely it's because the stuff in back is heavier 
than on my bagged Supra:

tail feathers
boom
pushrods
V-mount
fin attachment

I anticipated this and specified the molded pod to be longer in front,
but apparently not long enough.  Anyway, it's easy to check the weights 
of all the bits above and see where most of the added tail weight is.


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RE: [RCSE] Supras done

2006-01-04 Thread Mark Drela

could someone explain to me the balancing method and tools 
used to place a CG to 0.5mm accuracy?

To measure the CG:
I turn the assembled glider over on its back, 
and find the level-balance point by supporting it
on a wood-pencil eraser which is slightly rounded.
I might add some tape to a wingtip if necessary 
to get perfect lateral balance, so the eraser point
can stay exactly on the centerline.

I mark the eraser (CG) position on the wing, and measure 
its distance from the LE using a ruler which has 
a balsa stick taped onto its end to make an L.  
The balsa stick rests against the LE while the ruler 
is held parallel to the wing bottom or the chordline
to make the measurement.  The recommended 3.6 CG position
is what I measured off my Supra in this way.  It's
a relatively far-aft position, which is just on the
verge of tuck-in in a steep dive test.  It recovers
very slowly in a shallow dive test.  

The best CG and hook positions may depend somewhat 
on the chosen dihedral.


To measure the hook location:
I tape a short balsa stick or dowel into the hook, 
parallel to the wing.  I then place a drafting triangle
against the bottom of the wing, and touch it to the
stick.  This gives the hook position on the wing chord, 
measured perpendicular to the wing bottom surface.
The recommended 3.8 hook location is what I measured
off my Supra this way.

This is rather far aft hook position which requires 
special action during launch.  On my Evo program the
left slider is an elevator (speed) trim with a small gain.
For the launch throw I push the slider all the way forward
which feeds in a slight amount of down-elevator.
Once the glider rotates and settles down in the climb, 
I pull the slider back to its normal center position 
for maximum load just short of stall.  I have 100% Ail.Diff
and lots of Ail-Rud coupling during launch, so I can
steer with might right thumb, leaving the left thumb
free to work the slider.

PS
I've done some sims of the initial pitch dynamics 
immediately after the throw.  There is a very significant
CL overshoot at the end of the initial nose-up rotation.
So if you trim the glider for maximum pull during the
climb and zoom, and throw with this trim, then you are 
guaranteed to stall at the top of the nose-up rotation.
So for maximum launch performance, it is necessary to add
some initial nose-down trim to safely get past the
initial pitch transients after the throw.


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RE: [RCSE] Long music wire????

2005-09-13 Thread Mark Drela

You can get dead-straight hard stainless steel wire from
www.smallparts.com in 60 lengths.  Not quite as hard
as piano wire, but pretty close.  The drawback is that
the 0.06 size is about $12 a piece, plus an extra 
oversize shipping charge.

They also have loose coils of hard stainless wire, but only up to 
0.043 diameter.  This stuff is vastly cheaper at $4 for 30 feet.



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RE: [RCSE] Thermal duration V or + tail

2005-09-08 Thread Mark Drela

Many European moulded models are available with either style of tail.

Yes, but the effective tail sizes between the two version are
always very different.  From a recent RCGroups post:


 During a stall with the v-tail they like to do the snap spiral. 
 Its quick and you have to be careful.

 I think you've been flying too many V-tailed Euro-moldies. :-)
 All the ones that I've looked at typically have badly 
 undersized V-tails, although the X-tail version of the same glider 
 typically has an OK tail size. For example, here are the horizontal 
 and vertical tail volumes I calculate for the Europhia from 
 the 3-views at www.aerodesign.de :

  V-tail version:
  Vh = 0.36
  Vv = 0.0115 (yikes! that's real small, and likely to be snap-prone)

  X-tail version:
  Vh = 0.41
  Vv = 0.0205 (barely OK)

 The effective vertical tail size on the V-tail version is roughly HALF 
 that on the X-tail version, which isn't all that big to begin with. 
 Go figure.

 In reality, there shouldn't be much of a difference in 
 aerodynamic behavior or in weight between different tail types, 
 provided each one is sized appropriately.
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Re: [RCSE] Tip on bagged wing twist removal.

2005-08-31 Thread Mark Drela

Here's another method without the towels:

1) Tape over any servo bay openings.
2) Set wing on edge, leading edge up.  
3) Twist the wing to remove the offending warp, overtwisting by maybe 50%.
4) Slowly pour boiling water on the LE so it runs down and heats the whole wing.
5) Hold twist until cool.

Having a helper to pour the water makes this very simple.

The heat will probably cause cause the cloth weave texture
to become more visible in the surface finish, but this is not 
aerodynamically significant.

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[RCSE] Re: Wing Twist

2005-08-31 Thread Mark Drela

Warm up the wing with a hot air gun (monokote variety) 
and gradually heat it (top and bottom) until you have 
about twice the amount of final twist you want.

This works, but it's risky.  You want to heat up the epoxy
to at least 200F for a nice permanent set, but the foam
will start to melt at 250F or so.  That's not a big spread,
given the rather poor temperature control of a heat gun.

Using boiling water is totally safe by comparison,
since it cannot heat the wing above 212F.  The water
also heats up the skin almost instantly, while
the heat gun requires considerable patience.

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[RCSE] Laser Arts retriever plans

2005-08-31 Thread Mark Drela

Ken Antonellis and John Hayes at Charles River RC have built these.
I also copied the frying pan spool design when I built my retriever.

They work well, but I would make the following mods:

1) Make the rear spool plate as large as possible.
This will discourage the line from jumping behind it
and into the V-belt.  My plate is over 12 diameter, 
and it could be bigger.

2) Use a large number of bolts to clamp the spool together.  
I used 18 bolts, 10-32, spaced uniformly on a circle which is 
as large as possible (just a bit smaller than the spool core disk).  
This was just barely adequate.  The packed retriever line exerts 
tremendous bursting pressure, and without the closely-spaced bolts 
being adjacent to the wound up line, the soft cast-aluminum 
flying pan will deform outward like taffy.

The LA plans show only the 3 U-bolts holding the spool together.
This is OK for attaching the pulley, but it's grossly inadequate
for clamping the spool together.

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Re: [RCSE] Teaching a kid

2005-08-17 Thread Mark Drela

First of all, the Spirit is not a particularly good-handling r/e glider.
It's wobbly in yaw, and prone to tip stalling because of the saggy
unsheeted tip panels.  An AVA-type glider is much easier to fly well
I think, and of course it would be a huge step up in performance
for him.  I'd avoid the full-house-RES converted gliders like 
the Victory.  They're heavy by comparison.

But if he really wants to go all the way to a full-house glider,
I'd go with something light and forgiving.  The Aegea/Mantis is 
an obvious choice at a reasonable cost.  A DLG would be even better, 
unless of course he's set on TD.

If you do get an Aegea, I suggest bending the rods for more dihedral.
This really helps in thermalling, especially for an aileron newbie. 
There is no real downside to it.  My Supra has 2.5 deg on the inner panels,
and 7.5 deg on the tip panels, and it can almost fly hands off as a result.
For the Aegea, I'd shoot for around 8-9 degrees on each tip panel.



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RE: [RCSE] soldering problem

2005-07-29 Thread Mark Drela

The acid flux did the trick.

What he said.  Use regular solder with acid flux (aka tinner's fluid).
Works on stainless steel, too.

A big problem with using silver solder on piano wire is that 
it requires a torch.  The solder may be strong, but the high heat 
turns the hard piano wire into soft annealed mush.  This often 
defeats the purpose of the strong solder.  A soldering iron is 
cool enough so the piano wire is unaffected.  

If the solder joint needs strength, there are often tricks 
to get that.  Increase the solder area, or wrap the joint 
with fine wire before soldering.


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Re: [RCSE] Still using aileron differential?

2005-06-12 Thread Mark Drela

 1) still use aileron differential in 2 and 3 meter planes and
 2) still couple the ailerons to the flaps (so they act as flaperons)

Here's what I use on my Supra:

1)
During normal flying:
* 10% differential, which is almost nothing in practice
* 20% Ail-Rud
* 40% Ail-Rud when airbraking
The Ail-Rud mix is to make the aileron stick nearly a pure roll control,
and it's in no way a replacement for independent ruddering.
I still use the rudder stick a lot during circling maneuvers.


During launch:
* 100% differential
* 100% Ail-Rud

I use about 12 deg of full-span camber on launch, and trim close to stall.
I don't want any downward TE deflection in this condition.


2) Yes, I make the flaps respond to the aileron stick, about 
60% as much as the ailerons do.  This is a compromise between:
- least drag in roll maneuvers (wants flaps moving  33% as much as ailerons)
- maximum tip stall resistance (wants flaps moving 100% as much as ailerons)

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RE: [RCSE] Re: Programming tricks help

2005-03-26 Thread Mark Drela

Shouldn't the flap and ailerons move the same amount 
to keep drag to a minimum where the flap and aileron meet?

No. This would create an even bigger discontinuity 
at the center between the two flaps.

Repost from a previous message some time ago:



I'd like to more about your thoughts 
on aileron to flap mixing. A small
percentage of mix, one to one, 
somewhere between? Why is good too.

Deflected ailerons deform the load distribution
away from the ideal near-elliptical shape,
and hence increase induced drag. Partially slaving
the flaps to the ailerons can alleviate this load
distribution deformation, and thus mitigate the
ailerons' CDi penalty. The question is what's 
the optimum amount of ail- flap mixing.

The lowest-drag aileron system is wing-warping
as used by the Wright Brothers -- the wing
is linearly twisted from tip to tip. When such
a twisted wing reaches its steady roll rate, the load
distribution returns to its optimum level-flight shape, 
and the drag penalty is zero. 

With a finite number of hinged control surfaces 
such a linear twist cannot be achieved. But it can be
approximated as close as possible if each surface's
deflection is made proportional to its distance from
the aircraft's centerline, measured at the surface midpoint.
If the four control surfaces have equal span, we then have:

surface mid_span_loc. deflection
--- - --
L.aile -3/4 -100%
L.flap -1/4  -33%
R.flap +1/4  +33%
R.aile +3/4 +100%

So for this wing the flap motion should be 33% 
of the aileron motion. Using AVL I've verified 
that this mixing ratio produces very nearly 
the smallest induced drag penalty. If the
flap span differs from the aileron span,
the table above can be adjusted accordingly.
Longer flaps will have larger travel and 
vice versa.

BTW, this distance-proportial deflection rule
strongly argues against stopping the ailerons short
of the tip. The resulting unhinged tip portion 
should in fact have the largest deflection.

The distance-proportial deflection rule
can be fudged if there is a tip stall 
problem in a sustained turn, where some
opposite aileron must be held. By increasing
flap travel over its optimum amount,
the flaps can carry a greater share of
the roll power, which reduces the required 
downward deflection of the inside aileron, 
and thus delays tip stall. So if your
TD glider has insufficient tip stall margin, 
I suggest increasing the flap mixing
and you should see some improvement.

The extreme case would be 100% flap mixing, 
which mimics full-span flaperons. Flaperons 
give excellent tip stall resistance, as is
obvious to anyone who flies a DLG with a good 
2-servo wing. A 4-servo TD wing with decent 
planform should not need to go to this extreme, 
especially if it has some washout like the 
Aegea wing.
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Re: [RCSE] Are you using long servo arms?

2005-03-22 Thread Mark Drela

| Bearing/casing/mount/hinge/pushrod loads depend only on the surface horn 
length,
| in inverse proportion.  Doubling the surface horn length will reduce these 
| loads by half.
But pushrod loads would be in porportion to the horn length, not
inverse porportion.  Double the horn length, double the load.

No.  The horn length and pushrod force are related to the servo torque by

 horn_length * pushrod_force  =  servo torque

For a given servo torque, doubling the horn length will halve the pushrod force,
and vice versa.  

Example:  If you mount a 10 horn on the servo, how much force would
you have to apply at the tip of the horn to stall the servo?  Not much.
With a 1 horn, stalling the servo requires 10x more force.



Not sure what you mean by hinge or mount loads.

The hinge, servo casing, bearings, mounting, etc. all see the pushrod force.
Reducing the pushrod force via longer horns will proportionately reduce 
the deformation of these items, and give an overall stiffer system.  Longer
horns will also decrease any slop due to oversize horn holes or loose 
clevis threads.


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Re: [RCSE] Are you using long servo arms?

2005-03-21 Thread Mark Drela

Simultaneously Increasing the length of the surface horn by a
similar amount will not increase the load on the servo. Servo linkage
should always be designed to use the maximum amount of servo travel to give
the desired control surface throw.

We should distinguish between different types of loads:
servomotor/gear loads
bearing/casing/mount/hinge/pushrod loads

Servomotor/gear loads  depend only on the ratio:  surface_horn/servo_horn
Doubling or halving both horn lengths has no effect on these loads.

Bearing/casing/mount/hinge/pushrod loads depend only on the surface horn length,
in inverse proportion.  Doubling the surface horn length will reduce these 
loads by half.



The following linkage design procedure will minimize all the types of loads:

1) Determine the maximum servo travel range.  Set the horn length ratio
so as to get the desired resulting maximum surface travel range.
Assuming the travel of the servo and surface are symmetric,
the equation for the horn length ratio is:
   surface_horn/servo_horn  =  sin(surface_throw/2) / sin(servo_throw/2)

Example:  
100 deg servo throw  (+/-50)
70 deg rudder throw  (+/-35)
rudder_horn/servo_horn  =  sin(100/2) / sin(70/2)  =  1.33

2) While keeping this horn ratio fixed, make the horns as long as possible.
Let's say the longest horn I can fit on my rudder servo is 12mm.
The corresponding rudder horn should then be  12mm x 1.33 = 16mm


Nonsymmetric throws require a more elaborate analysis.
Blaine Rawdon's spreadsheet does the job well:
http://members.cox.net/evdesign/

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Re: [RCSE] Wing design ....

2005-01-16 Thread Mark Drela

I have been under the impression that a thinning 
of the section and a slight increase in camber as you
progress out to the tip was preferred.

There's no unique way to do this.  

I normally set a combination of taper and aerodynamic twist (i.e. washout) 
to give a good cl safe distribution in a trimmed sustained slow turn, 
and also in a fast upwind dash.  Some tradeoff decisions are needed here.  
In the slow turn one can use a very broad tip with no twist, or a highly 
tapered tip with lots of washout twist, with the same cl distribution.  
The slow-speed case favors lots of taper and twist, while the high-speed 
case favors little taper and twist.  An intermediate compromise choice 
is often effective.

Also, poly, 2-servo, or 4-servo wings will differ substantially here.  
Poly (RES) and 4-servo (TD) wings generally want significant washout 
twist in the intermediate panel, while 2-servo wings (DLG) can get by 
with much less washout.  For the 4-servo wing, the amount of washout
also depends on the amount of aileron-flap linkage.

Then I pick or design airfoils to match the cl range and Reynolds number.
This usually means a reduction in thickness and a slight reduction 
in camber towards the tip.  Some iteration with the specified cl,
planform, and twist distributions may be needed.  

At the end I set the geometric twist as the sum of the earlier specified
aerodynamic twist and the airfoils' zero lift angles.  For building
convenience I round off the twists to the nearest 0.5 degrees or whatever.



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Re: [RCSE] How to use Klass Kote

2005-01-03 Thread Mark Drela

I would like some recommendations on spray equipment

On recommendation of Denny Maize, I got the following
touch-up spray gun from Harbor Freight:
Item # 86-7VGA
It's fully adjustable in spray pattern and paint volume output.
I notice that it's on sale right now for only $20.

You obviously also need a compressor with an adequate flow rate capacity.
One of the little compressors for airbrushes probably won't work.

Mixing the paint and cleaning up is a lot of work, but this is less
of an issue if you spray many mylars with one paint batch.


Is it OK to just spray the white paint with catalyst on the mylar and
then go directly to bagging the wings

I didn't use any primer on my Supra wing.  The paint by itself 
stuck very firmly to the MGS epoxy.


How long should I wait after painting the mylars before bagging the wing?

I let them fully cure for many hours at 120F.  It certainly didn't
hurt the adhesion to the epoxy. 


I assume that the paint will continue to cure
normally even after the wing is bagged. Am I right about all this?

Yeah, but bagging too early may give some print-through of the Kevlar weave.
A test is probably in order.

My white paint coat was extremely thin and light -- only about 12g 
for the wing top surface, but the coverage and adhesion was still good.  
Print-through is less of an issue for a very thin coat.
You might want to consider painting your tails like this, 
since less than 1g of paint on the tail will give great coverage.
Once the gun is ready, spraying the tail mylars is negligible extra work.
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[RCSE]

2004-12-15 Thread Mark Drela

You are doing it wrong. You cut the bottom lug off and use a flat
head screw (through the top lug) to mount the servo to the block,
which is about 3/4 of the thickness of the servo. Also the mounting
block would block the servo from moving.

We can get more specific here.

In general, the ideal place to attach any servo is as close
to the pushrod as possible.  This minimizes the torque 
that the pushrod exerts on the wing or fuse structure which 
holds the servo, and thus minimizes servo squirm.  This is why
I now try to mount standard-lug servos by putting the screws 
up from the bottom, rather than down from the top (e.g. Supra
wing and fuse servo mounts).

The flat-mounting lugs on the Airtronics servo would have been 
better placed above the standard lugs, not below them.


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Re: [RCSE] All flying vertical stab...

2004-12-02 Thread Mark Drela

I'm building the new tail for my solar plane and I'm thinking I'll make a
Drela style carbon V mount for the vstab.


The original carbon V-mount was on the Daedalus HPA, on both the stab and the
rudder:

http://trc.dfrc.nasa.gov/gallery/photo/Daedalus/Medium/EC88-0059-002.jpg
http://trc.dfrc.nasa.gov/gallery/photo/Daedalus/Large/EC88-0059-002.jpg   
(hi-res)

http://trc.dfrc.nasa.gov/gallery/photo/Daedalus/Medium/EC87-0014-8.jpg
http://trc.dfrc.nasa.gov/gallery/photo/Daedalus/Large/EC87-0014-8.jpg   (hi res)

Putting the rudder on a V-mount works fine, except striking the rudder
on the ground may cause it to break.  I suppose you could have the V-mounted
rudder mostly above the boom, which would minimize the torques on the
V-mount from a ground strike.  But rudder airloads will torque the boom more.

Then there's the agony of deciding whether to put the rudder on the right side
or the left side of the boom...



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Re: [RCSE] Battery food-Charger

2004-11-09 Thread Mark Drela

Are there automatic / peak detection chargers that will ramp down
enough to put a small enough charge (C/10 or so) on the tiny 200 mAh
NiMH  (yep, quad A) batteries I'm using in HLG?

I use the Sirius 200 for the  batteries.
After the peak charge it switches to a maintenance mode
which gives an occasional charge pulse every 10 seconds 
or so.  If possible, I leave it in this mode for some time.
It should be equivalent to a very slow trickle rate 
which will eventually equalize the pack.



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Re: [RCSE] Harley, Gordy, RDS and molded wings

2004-10-07 Thread Mark Drela

I used the typical euro, top actuated, bottom hinged system for the
flaps. It kept everything inside and a smooth wing bottom, but Gordy's
right it is a bit squishy as a system. I tried to stiffen it up with
4-40 threaded rod, soldered to heavy links. It's the nature of the
geometry I guess. 

I looked closely at the linkage stiffness issue.  I conclude
that a conventional horn and pushrod system is inherently more flexy
than a properly-executed RDS system.

These are the sources of compliance/slop common to both systems:
 gear backlash
 servo shaft twist

These are the additional compliance/slop sources in RDS:
 driver arm torsion
 driver arm bending
 wiper slop in pocket

These are the additional compliance/slop sources in a conventional system,
due to the large pushrod force which the servo and hinge see:
 servo arm bend
 servo output shaft flex
 servo output shaft bearing slop
 servo mount flex
 surface horn flex
 hinge flex
 pushrod/clevis slop in holes

The big difference is the large pushrod force in the conventional 
system which causes compliance all over the place, while the 
RDS servo sees a nearly pure torque.  The RDS servo does see a small
force from the shaft acting like a lever, but this force is typically
a small fraction of the pushrod force in the conventional setup.

The pushrod force and the associated compliance can be reduced by using 
longer horns on the servo and the surface, but there's a practical
limit to this, and of course there's a drag penalty.  In contrast,
it's easy to make the RDS driver arm as stiff as needed.  It this 
is done, the RDS system will be significantly stiffer.

On my Supra I wanted a pinned shaft attachment, so instead of the 
Kimbrough solid wire shafts I used a large-diameter hypodermic tube.  
This is almost infinitely stiff for all practical purposes, and metal
servo gears and shafts do not flex much either, which leaves gear backlash 
as the only significant source of slop, with little compliance anywhere.

The bottom line is that a properly-built RDS gives the most solid
linkage possible.  I only wish it was as quick and easy to build as 
a horn/pushrod system.
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Re: [RCSE] What is the specific AVA Towhook Location and CG?

2004-08-13 Thread Mark Drela

Here are my Bubble Dancer locations. 
Should be very similar to the Ava's:

CG is 3.75 behind the center LE.
Rear face of the towhook is 3.50 behind the center LE.
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Re: [RCSE] New differential question

2003-10-09 Thread Mark Drela

How do you deal with adverse yaw caused 
by a V-tails use as a rudder?

I think you mean adverse roll, not adverse yaw.

Yes, a V-tail has adverse roll which forces you 
to deflect the ailerons a bit more while rolling.
On the other hand, for a given amount of yaw moment,
the V-tail has less of its own induced drag than 
a conventional vertical tail of the same height.
I think the conventional tail slightly wins here 
overall, but that's a guess.  I haven't run the numbers.
It's surely configuration dependent to some extent.

If you're holding rudder into an established turn, 
the adverse roll of the V-tail has an unexpected
benefit -- it unloads the inside wingtip and
helps to suppress tip stall.  In practice the
effect is very small, but then we're talking
very small differences here in any case.

I see the V-tail vs X-tail choice as mainly 
a structural, mechanical, and construction issue.  
The aero differences are puny by comparison.

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Re: [RCSE] Mapleleaf Encore wing damage, need help fixing

2003-09-02 Thread Mark Drela

1) Heat damaged area with boiling water to get it to mostly
spring back to the original shape.  Let dry.

2) Apply thin resin, blot off excess, and clamp lightly
between two 1/4 balsa planks (or whatever) to force it into the
correct flat shape.  Use thin polyethylene for a nonstick film.

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Re: [RCSE] Surface flutter revisited

2003-02-22 Thread Mark Drela

But it increases the rotational mass
without increasing the surface area,
so the increased mass
dampens the movement.

That's backwards.  Mass is not the same as damping.
Adding rotational mass (inertia to be more exact)
actually reduces the damping forces relative to the
inertial forces, so it aggravates flutter.

But flutter is vastly more complicated than this 
simple consideration.  Mass balancing suppresses 
flutter by reducing the inertial coupling between 
wing bending and aileron deflection.  This more than 
outweighs the unfavorable effects of adding to 
the aileron's rotational inertia by adding the 
balancing mass.  But in any case, mass balancing 
seems very impractical in foam-core RC glider wings.

- Mark
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Re: [RCSE] Max L/D vs Min Sink, and the effects of aircraft weight

2003-02-11 Thread Mark Drela

Jack Womack writes:
The fact is that some full scale ships have
a better L/D or glide ratio when fully
ballasted. It's a function of the airfoils and
configurations used.  They also have a higher sinking speed
in the ballasted condition, and that's why they have
dump valves. They are now optimized for fast cruise,
with thermaling a secondary consideration. There have
been 300 mile tasks flown where the pilot never
circled in a thermal, and achieved better than 
100 mph in average speed.

Full-scale sailplanes are fast and heavy because that's
what the soaring contest rules favor.  The mammoth Eta
sailplane is the logical endpoint of this development.
http://www.leichtwerk.de/eta/en/project_eta/
The unfortunate outcome of this development is that 
top-level competition soaring seems like a $$$ arms race, 
and this most advanced sailplane is a very rich man's toy.  
Perhaps it's not a cooincidence that there has been 
a steady decline in full-scale soaring participation 
over the years (according to an article in Soaring or 
SailplaneGliding I saw a while back).  The Eta is 
accessible only to those who have too much money
and too much hangar space.

Partly in response to this trend, there is a significant 
grass roots movement back towards ultralight gliders which 
give up speed and range for exceptional thermalling ability.
The 13.5m span, 145 lb Carbon Dragon is one of the earliest 
examples of this.  See 
http://www.isd.net/sadkins/index.htm
I've seen video footage of Gary Osoba pulling off a save 
from 200 feet in this glider, in an RC glider-type thermal,
called microlift by soaring pilots.
A more recent development is the 15m span, 150 lb Light Hawk
(about 1/3-1/4 the weight of normal 15m gliders).
See photos and test pilot report at
http://www.glidersport.net/

OSTIV is on the verge of sanctioning a new Ultralight Sailplane 
category, if they haven't done so already.  
http://www.anla.gr/greek/library/ULSailplanes.htm
This class should make competition soaring more attractive 
to a larger number of people.  Sorta reminds me of the RES saga.

- Mark
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Re: [RCSE] Max L/D vs Min Sink, and the effects of aircraft weight

2003-02-11 Thread Mark Drela

Can you give us an
idea of what magnitude of performance 
change we would be looking at if the
weight of an airplane varied say plus 
or minus 10% (20% total weight
change.) Are we talking sink rate 
improvements of 1/2 of 1%? Or more on
the order of 20%?

A +10% change in weight will roughly produce changes of...

 +1%  in L/D
 +4%  in minimum sink rate
 +5%  in min-sink speed
 +5%  in best-L/D speed
+10%  in turn radius at a given bank angle

- Mark
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Re: [RCSE] This winter is getting long ..

2003-01-30 Thread Mark Drela

Winter? Whats that? Oh I remember -
that is when it rains a little down
here, and gets down to 15C for a month
or so.
Klaus K Weiss
Sydney, Australia

So I can assume the skiing sucks too, eh?  :-)

Mark at least one toy for any kind of weather Drela
Boston, MA



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[RCSE] Blaine Rawdon in the news

2002-10-07 Thread Mark Drela


Check out what Blaine does in real life:

http://www.washtimes.com/world/20021007-34366738.htm

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Re: [RCSE] re: Problems with RD6000

2002-08-25 Thread Mark Drela

In a nutshell - when his aerial is
fully/partially extended his RX doesn't
respond at all.
As soon as you touch the extended aerial
with the bare hand or fully
collapse it, the RX responds.

My RD6000 once had similar behavior -- very flaky RF output.

The problem was a poor connection with the antenna attachment bolt.
Tighten it firmly, or better yet first clean off the bolt, 
bolt platform, and antenna threads with alcohol.

- Mark

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Re: [RCSE] one more comment about zooming, and then I swear I'll stop

2002-07-18 Thread Mark Drela


More important, all of the good energy built up in
the line and in the airframe will be mostly if not 
entirely lost in the transition to the steep 
dive before any reasonable gain could be made by the
winch pulling the model down the line.

Only if you push the elevator in a rather leisurely way.
The nose-over should be as quick as your guts/reflexes allow.

- Mark
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Re: [RCSE] Sliders

2002-07-11 Thread Mark Drela


Profi users: what do you use the right 
slider for and how do you set it up to do that.

On my 3030 I select one of the three flight modes via the memory switch:
 1. launch
 2. fly
 3. land
For each of these flight modes, I use the left (throttle) stick 
to control camber or flap, not the sliders.  

For launch mode, the throttle lever sets camber from +20 to -3.
So I launch with the left stick all the way back to get +20,
and at the start of the zoom dive I push it all the way forward 
to get -3 for max acceleration and coast-up.  That way I don't
have to grope for the slider during this stressful maneuver.
The left thumb stays where it is there the whole way up.

For flying mode, the throttle lever sets camber from +2 to -3.
Most of the time it's at one of these limits, so it doesn't
interfere with ruddering.  When I put the lever in the center
to get 0 camber I'm typically ranging in a straight line where
ruddering is unnecessary.

For landing mode, the throttle lever sets the center flap from +65 to -3,
and ailerons from +5 to -3.  That way the throttle stick works 
just like a brake/throttle during approach.


I do use the left slider as elevator pitch trim to allow changing
trimmed speed without reaching WAY over to the other side of
the 3030 pizza box to get to the elevator trimmer.

- Mark


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Re: [RCSE] Spoilers-Elevator

2002-06-27 Thread Mark Drela


Computer mixing should not be required for properly designed spoilers.

This is an artificial requirement.  One could 
just as well argue that elevator mixing should not be
required for properly designed flaps, since this 
just might allow you to use a somewhat simpler radio.
It could be done... just move the landing flaps sufficiently outboard.


For RES I always use one very big center spoiler, 
and mix in whatever amount of elevator is needed 
to minimize the change in pitch trim.  The mixing
is really a convenience, and could be skipped if 
manual elevator compensation is used.  On landing 
you're always closely controlling the elevator anyway,
so the manual mixing is hardly onerous.

There are many advantages to having only one center spoiler:
 * There is only one spoiler to build and set up, not two.
 * Only one wing servo is needed.
 * It's near the CG, so it doesn't add yaw inertia (a handling-killer for r/e).
 * Outer wings are clean so there's no degradation of roll control on landing.

- Mark
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Re: [RCSE] Bill John's, light weight tail groups

2002-06-24 Thread Mark Drela


I thought a stab has to pull DOWN, not lift (or if you
want: lift down) in order ot counteract the tendency 
of the wing to roll-over ?

The stab on a typical RC glider with a good CG location
can lift either up or down, but only slightly.  In particular,
the stab's Cl is rarely outside the range -0.05 ... +0.05,
so the stab airfoil camber, as long as it's small, doesn't matter
all that much.

Note:
Smallish stabs will typically have a very slight download (negative Cl).
Largish stabs will typically have of very slight upload (positive Cl).
Jerry uses rather large stabs, so his slight positive camber actually
makes some aerodynamic sense.

- Mark
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Re: [RCSE] Spyder Foam?? High Strength??

2002-06-24 Thread Mark Drela


Dose anyone know the difference between CST'S SPYDER
(Blue) FOAM 2.3 lb./cu. ft and there High Strength (Blue) Foam 2.3 lb/cu ft.
They are both rated at 60 psi compressive strength.

Recently I measured both.

I cut 1/2 thick, 1 x 1 blocks of each type of foam.
The specific Dow sample I had is also called Plazamate.

The 1 square faces were carefully fine-sanded perfectly flat.
I weighted them on a precision indoor scale.  The densities 
were identical at 2.30 lb/ft^3.

Each block was placed on a bathroom scale, sandwiched between
two small metal plates.  A drill press was then lowered onto
the top plate to slowly crush the foam, while noting the 
indicated load on the scale.  The load leveled off when the 
foam started to flow in axial compression.  The max loads:

Spyder Foam   :  85 lbs  (85 psi)
Dow 60 Hi-Load:  75 lbs  (75 psi)

The loads at the onset of deformation surely were slightly lower, 
but this onset was impossible to detect reliably.

In another test I placed two blocks face-to-face, and crushed
them together.  The Dow started to flow before the Spyder did.

This confirms my subjective observations that Spyder has slightly
more dent resistance than the Dow Hi-load.  This may or may not be
worth Spyder's higher cost.

Both foams are vastly more dent-resistant than the lighter Dow grades.

- Mark
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Re: [RCSE] Monocote v.s. Ultracote

2002-03-29 Thread Mark Drela


The Allegro Lite is another case in point. 
It is designed for Monokote on the center panel 
for torsional stiffness. 

This design choice was made before I had any real
torsional stiffness numbers.  After I built the center panel
I measured the torsional stiffness before and after covering
with transparent Monokote.  The D-tube was about 5x stiffer 
per weight than the covering.

The conclusion is that on any D-tube wing, the clearly
most efficient choice is to use the lightest covering,
and put the weight saved into denser D-tube balsa.
More bang for the buck ... er ... gram.

- Mark

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Re: [RCSE] Somebody has to know the answer to this question

2002-03-11 Thread Mark Drela


For instance if you stretch a 1 foot section to 3 feet
will it have the same tension as a 100 foot section 
stretched to 300 feet?

Yes, of course.  The % stretch is the same in each case.


If you stretch a piece of highstart tubing we will assume latex
to a certain percentage of its initial length does the resistance
have any relationship to the initial length.

Yes, but this is more complicated.  Rubber does not act like
an ideal linear spring they teach about in Physics 101.
For a spring the force/stretch relation is a straight line:
twice the stretch = twice the force.

Rubber used for rubber FF planes has a distinctively
nonlinear S-shaped  force/stretch relation.  As you 
gradually stretch the rubber the force rises quickly 
at first, then more slowly, then quickly again as the 
rubber reaches the breaking point.  Typically the rubber 
can be stretched 6-7 times its rest length before breaking.  
Old FF rubber like Pirelli was basically latex, so I expect
histart rubber to have similar behavior.

- Mark
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Re: [RCSE] How steep of an approach with RES?

2002-02-12 Thread Mark Drela


I try to approach with partial spoiler and some excess speed.
This way I can either steepen or stretch the approach with
more or less spoiler as needed.  How steep this type of approach 
is depends on how powerful your spoiler is.

- Mark
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Re: [RCSE] pitch stability question

2002-02-07 Thread Mark Drela


Because the dive test does NOT indicate
anything about pitch stability. 
It ONLY indicates elevator trim/decalage
angle effect during increasing airspeed.

The second sentence is in fact one definition 
or at least one direct consequence of pitch stability.

A pitch-stable aircraft must see a decrease
in trimmed airspeed with up-elevator and
vice versa.  A pitch-unstable aircraft will
do the opposite (if it's artificially
sustained in trimmed flight via a gyro
or whatever).  


To answer the original question...

Any given real airplane does not have a fixed
stability margin at all airspeeds.  Normally
the stability margin decreases with airspeed.
There are typically three reasons for this:

1) Cm of low Reynolds number airfoils is not really constant.  
It typically becomes more negative (nose down) at small AoA.
This looks and smells just like a reduced stability margin.

2) If the CG is below the wing's center of area,
like in any poly glider, the CG will effectively
move aft at lower AoA and reduce pitch stability.

3) Flexibility of the wing, tailboom, tail surfaces,
and linkages tends to have the same effect as imparting
down-elevator trim at increasing airspeeds (reducing AoA).
Again, this looks and smells like a reduced stability margin.


If the glider has slight positive stability in a slow glide, 
it can easily go unstable in a fast dive, resulting in a tuck-in.  
The dive test, if done correctly, is useful in that it represents 
a worst-case scenario where all three effects above gang up.

- Mark
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Re: [RCSE] wing tips: a peculiar experience

2002-01-24 Thread Mark Drela


Perpendicular to the LOCAL LE ??
Wow! I had no idea. Personally I've always favored squared-off tips. 
Should I re-think this?

The local LE shape is significant as long as the local sweep
is not excessive, so the velocity component normal to the 
leading edge is still significant.  The square-tip edge has 
a zero normal velocity component, so its shape is less important.

One reason I like rounded tip LEs, and try to get a half-decent 
LE shape all around the tip is that a glider will sometimes sideslip.
A RES ship will definitely sideslip, possibly quite a lot.
A swept LE will then see an almost perpendicular flow, and hence 
its shape will matter in keeping the profile drag low in the slip
maneuver.

- Mark



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Re: [RCSE] What I found out about tooling costs.

2002-01-12 Thread Mark Drela


Just the aluminum @ 2.20/lb for a set of 120 wing molds would be around $2000

I assume this is for super-rigid molds cut from 1.5 plate.

There's a better alternative.  The molds can be intentionally 
floppy, and then held against a flat surface when closing the
mold during the final bond.  Slight bending or twisting of 
the mold halves when molding each surface doesn't matter much.

Such a mold could be machined out of 1/2 plate for the bottom,
and 3/4 plate for the top.  A 124 x 12 mold then works out 
to about 180 lb, or $400 for the aluminum.  Plus you don't need 
a crane to move the thing around, since each mold half will be
less than 40lb after machining.

- Mark
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Re: [RCSE] (spoiler size)

2002-01-06 Thread Mark Drela


Is there an optimum spoiler size - say percent of chord? 
Working on a low aspect ratio 2M with a root chord of 15.375. 
Center panel (where the spoiler will be) is flat and 20.5 span.

I'm not sure what you mean by optimum.
The bigger the spoiler and the farther forward it is,
the more sink rate you get.

As you probably know, I favor putting the spoiler very 
far aft where it can't hurt the airfoil significantly 
even with an imperfect fit.  Such a spoiler should be 
very big to compensate for loss of effectiveness.  

For your big wing area, I'd make the spoiler 2.0 to 2.5 
wide, and the full 20.5 panel span for simplicity.
Putting the spoiler's TE at 65% chord will place the spoiler 
over one of the AG3x airfoil's flat facets, so the spoiler 
wants to be flat and hence will be easier to make.

Make sure you have at least 10 deg of additional up-elevator 
travel to compensate for the spoiler's upwash via mixing.

- Mark

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Re: [RCSE] (spoiler size)

2002-01-06 Thread Mark Drela


Currently I have a 2 spoiler drawn in with the leading edge 
at 45% which I believe is the beginning of the 1st flat facet.  
Will that be ok?  I'll go ahead and lengthen it to 2.5.

OK.


Your comment about the elevator is interesting.  Although I would like to
locate it just off the boom per the Allegro Lite, I had assumed it best to
locate the elevator higher up, perhaps a T-tail, to get it out of the
turbulence caused by the spoiler.  Would you care to comment?

The stab sees two things from the spoiler... turbulence (maybe), and upwash.

The turbulence is fairly compact vertically -- some fraction of the wing chord.
But I've never seen any adverse effect of this turbulence on the controllability,
at least on the Allegro-Lite.  I don't think it's a problem in general.

The upwash extends vertically over a greater distance -- some fraction of
the spoiler's span.  So mounting the stab higher up on a T-tail is almost futile.
You won't reduce the upwash it sees by all that much.

I would do the mechanically simplest stab mount, just above the boom, 
and use spoiler-elevator mixing to deal with it.

- Mark
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[RCSE] re: Optimum Spoiler Size

2002-01-06 Thread Mark Drela


Blaine writes:
You can see from this that you want to locate the inboard edge of the
spoilers someplace between the centerline and the stabilzer tips 
in order to balance the two effects described above.

I think you're unduly worried about the spoiler's effect on trim.
The spoiler-elevator mixing works quite well, and it's adjustable!
The mechanical simplicity of having one center spoiler wins here.


A second factor in this is the pitch stability of the airplane.

I don't think that's the case.  I fly my Allegro-Lite close to 
neutral stability -- 10% margin at low speed, less than 5% margin
at high speed.  When the spoiler is deployed the glider becomes
more stable in pitch, not less -- it solidly locks on to
a particular pitch trim, and the elevator's influence on pitch trim 
is diminished.  These are sure signs of an increased stability margin.
This increased stability also makes the spoiler-elevator
mixing gain not so critical.

I'm not totally sure why the spoiler increases pitch stability.
One possibility is that the spoiler decreases the wing's dCl/dalpha
because of the massive separation.

- Mark
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Re: [RCSE] RDS drag reduction, speed increase.

2001-11-19 Thread Mark Drela


This did stiffen the surfaces to an acceptible level, 
but there was still some flex right where the rod bends 
45 or 90 degrees.  An all carbon rod would be ideal! 

Uh.. actually, a carbon rod would be horrible.  Unidirectional
carbon has a puny shear modulus compared to steel, even aluminum.

The stiffest solution would be a steel tube between the servo 
and the hinge-line bearing -- the biggest one you can fit.
SmallParts has thinwall hypo tubing up to 0.238 diameter.  
Steel rods could be soldered into the tube at each end
to use the standard hardware, with a suitable steel or
brass sleeve for a concentric fit if necessary.

Someone else mentioned using hardened RDS torsion rods.
This is not a solution, since hardening has little or 
no effect on the stiffness of a metal.  It only increases 
its strength.

- Mark
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RE: [RCSE] FLIGHT 587 and R/C MODELS

2001-11-19 Thread Mark Drela


These articles are indeed very interesting. The more I read, 
the more it does not make sense. Could the tail coming off, 
also cause the engines to fall off? And what about reports 
that fire was seen coming out of an engine.

Here's one feasible scenario...

Vertical tail falls off.
Airplane becomes directionally unstable, reaches a very large yaw rate.
Precession (gyroscopic) moments on the turbine engines break the pylons.
Fuel spewing from broken fuel lines ignites.


Jetliner engines are specifically designed to break off cleanly
when loads at fuse points in the pylons exceed specific levels.
If the engine seizes up or whatever, you want the whole pod 
to come off cleanly rather than take part of the wing with it.

- Mark

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Re: [RCSE] squishy glider

2001-11-15 Thread Mark Drela


My electric glider doesn't penetrate well (omega 2M).  
The CG is just slightly ahead of what the manual says 
though I have tried CG a bit back and a bit up and 
the prob is the same.

Penetration capability has virtually nothing to do 
with the CG location.  It depends only on the airfoil,
the wing loading, and how clean the glider is.

- Mark
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Re: [RCSE] DS discussion

2001-09-24 Thread Mark Drela


I have been trying to work through the concepts and
simple physics of their explinations to gain a grasp of how DS works. 
Well, try as I may I can not make the theories work. 
Perhaps you can help me out.

This sketch shows how the airspeed changes during one DS orbit:

http://www.charlesriverrc.org/articles/flying/markdrela_ds.pdf

Here's some accompanying text:

http://www.charlesriverrc.org/articles/flying/markdrela_ds.htm

- Mark
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Re: [RCSE] Omega 1.5M

2001-09-24 Thread Mark Drela


Anyone out there have any suggestions for someone just acquiring one of these, be 
nice! 

I've flown one and seen one break.

The pros:

* Nice slippery HLG

* Qood aileron response


The cons:

* Work-intensive to fly in rough air.
Could use a few degrees of dihedral.

* Tail is too small and elevators are too narrow.  
Elevator power is especially anemic in tight 
thermalling maneuvers.  Add 3/8-1/2 TE extensions 
to the elevators. 

* Fuse is quite fragile around hatch.  
Add carbon rod or 3/16 square basswood siderails 
to the inside of the fuse, extending 1 from the nose
to wing spar location (taper ends).  If using basswood, 
can use these rails to mount servos on crosspieces.


- Mark




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[RCSE] Channels 6,7,8 from 555 RX

2001-08-28 Thread Mark Drela


The following page shows how to convert the channel 5 port
into a channel 6 port on the old Hitec 535 RX:

 http://www.northlandflyer.com/Tips__n__Techniques/slickraft2_5a/body_slickraft2_5a.htm

I just did the same modification to a 555 RX and it works!
The modification allows using the 555 on a 4ch HLG, with 
a radio which wants left aileron to be on channel 6 
(like the RD-6000 for instance).  

The page also shows which chip pins are channels 7,8 
if you want those.

- Mark
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Re: [RCSE] Allegro Two-Meter

2001-08-22 Thread Mark Drela


I am very interested in building an Allegro two-meter for next year. 
What would be the easiest way to assemble the materials needed 
to build this plane?  

I assume you're talking about the built-up Allegro-Lite.

You could try to talk one of the Allegro-Lite Yahoogroup 
members into selling you his kit.

- Mark


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[RCSE] Web shear loads (was: spirit elite)

2001-07-28 Thread Mark Drela


The forces on the balsa shear web are not acting on the end-grain 
of the balsa as you suggest. They are shear forces that are acting 
through the neutral axis across the grain.

Actually, you're both sorta 50% correct.
Shear stress in the web material is the same in any direction.
Counterintuitive perhaps, but it's true.  So for withstanding 
shear stress, endgrain balsa is as good as lengthwise-grain balsa.  
The great advantage of endgrain balsa is that it is vastly better 
at restraining the sparcaps from buckling.  The endgrain
web is also necessary if the spar is wrapped with a 
+/-45 deg cloth, which puts a large compressive load
on the web if the cloth's compression fibers buckle.


To belabor the point...

A shear web can also be considered to play the same 
role as the diagonal members in a truss beam --
it prevents parallelogramming of any given chunk of the beam.
In a truss, the parallelogramming is restrained by the 
diagonal members, which are either in compression or tension
depending on whether they are angled at +45 or -45 degrees.
In a spar, the parallelogramming is restrained by filling
the spar with a homogeneous web material (e.g. balsa), which 
is then in compression along one diagonal, and in equal 
tension along the other diagonal.  This equal and opposite 
tension/compression along the diagonals is what's commonly
called shear.

This interpretation of shear loads suggests that an ideal
shear web material is balsa plywood oriented at +/-45 degrees, 
so that the diagonal tension/compression loads associated with 
the shear are along the grain, just like in a truss.  Such 
a web is indeed about 2.5x stronger in shear than an endgrain web 
of the same weight (which I've verified by busting spar samples).  
However, if such a web is pierced by ribs like on the Allegro-Lite, 
all advantage of the diagonal grain is lost, since the ribs will
fail in shear well before the web.  A plain endgrain web is the 
easy and appropriate solution in that case.

- Mark




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Re: [RCSE] Wing rod

2001-07-25 Thread Mark Drela


I am planning a 7/32 rod, and about 3 inch insetion length in each panel.

A 3 rod is OK provided the joiner tube is solidly embedded in
the web between the sparcaps.  The shear load taken by this web
(and the cap/web bonds!) is equal to the sparcap load, which 
is about 300 lb max for a typical 0.5 x 0.125 spruce cap.  
A lite-ply web will suffice.  If you add a 0.5 x 0.014 carbon 
strip to it, the max load will be more like 1500 lb, in which case 
using regular ply will be more prudent.

The web's shear load drops dramatically outside the joiner rod.  
The drop factor is approximately

 S_outside/S_joiner  =  4 h / b

h = spacing between sparcaps
b = span

For a 100 wing with a 0.75 sparcap spacing, the factor is only

 4*0.75/100 = 0.03

So if the joiner web sees a shear load of, say, 500 lb (sparcap load),
the web just outboard of the joiner sees a shear of only 500*0.03 = 15 lb.
There's no reason to continue the ply web outboard of the joiner tube.
Balsa will certainly suffice.

 

I'm running out of thickness between the spar caps with the foam cores
and I don't want to cut into the caps if I can help it. 

You can safely taper the top sparcap over most of the length 
of the joiner, down to near zero thickness at the root rib.  
This will give the cap's thickness worth of additional depth
to work in.

This assumes that

a) The tapered sparcap is solidly bonded to the ply web which is
then solidly bonded to the joiner tube all along its length.

b) The joiner tube is strong enough to resist bursting at its end.  
A KS 0.015-wall brass tube will be quite adequate.
A soft 0.015-wall aluminum tube maybe not.  Wrap the end with
Kevlar if in doubt.

Doing both a) and b) is sound practice in any case.

- Mark

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Re: [RCSE] Joiner sizing

2001-07-19 Thread Mark Drela


When I plug these numbers and assume a 200lb loading
and using piano wire (affordable) I came up with a
0.32 piano wire joiner.

a = 0.45 (gross interpolation of joiner at 0.33 span)
F = 200 (load number frequently tossed about on RCSE)
b = 100
sigma = 18 (piano wire)

I seriously doubt you will see 200 lb pull on your winch.

(I wanted to work back to the load given a
0.25 radius wire, but I've forgotten how to rewrite an
equation that is raised to a fractional exponent.)

 200 lb * (0.25/0.32)^3  =  95 lbs

Probably more realistic.  You might still put a small bend
in the 0.25 wire on a very hard launch, but I doubt you'll 
fold it completely.


Further design questions - If I were to make the
polyhedral by putting dihedral at each joint (except
the root) would it be hard to bend the piano wire, or
would it be better to put the dihedral outside the
joiner area?

Why not just use a straight joiner wire and embed the 
tubes at an angle in each panel?  The 9/32 joiner tube 
should fit angled like this in your 9 chord.  A straight
rod is easy to check for a permanent set and easy to
replace.


What is the rule-of-thumb for how long a joiner should be?

Depends on the quality of the shear bond between the joiner tube
and the sparcaps.  The better the bond, the shorter the rod can be.

Embed the tube in plywood filler between the caps, and wrap 2-3 layers 
of 2 oz glass at 45 degrees around the whole sparcap/ply/tube assembly.  
A short 3 tube will be OK with this kind of joint (6 rod).

If you're not using pre-cured sparcaps, the structural sizing
of the joiner rod attachment system gets very uncertain.
Can't give advice in this case.

- Mark


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Re: [RCSE] C/F Boom Molding Question

2001-07-08 Thread Mark Drela


Why not just use a mandrel and CF braided tubing?
That should give you 45-degree fiber orientation, 
a very nice outer surface, and no need for mold building 
or bagging.  Or am I missing some important fact?

This is ideal for a torque tube, but not a tailboom.
The 45 degree tube will have only 15% of the bending stiffness
and even less bending strangth as a unidirectional tube 
of the same weight. 

One compromise solution is to use an oversize braided tubing
like the 1.5 circumference stuff from CST.  When stretched
out to neck it down to the 1 mandrel, it will have roughly
30 degree fibers.  This will have 40% of the bending
stiffness of the uni tube.

- Mark
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Re: [RCSE] Apogee (Sort of)

2001-06-01 Thread Mark Drela


what percentage of MAC do you recommend for the CG on
the AG03 foil?  The Apogee plans give the location, but it looks like
percent of root chord and not MAC.

My 36 Apogee has the CG at 29% of MAC, which is at 45% of center chord.
This results in a very slight tail download in cruise (CLt = -0.05 or so). 

For zero tail load, the AG03 wants the CG around 31% of MAC, but for the 
Apogee this would require a larger horizontal tail volume to still have 
adequate pitch stability.  Slightly downloaded tails in general can be 
made smaller, lighter, and usually less draggy.

- Mark
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[RCSE] Bending music wire

2001-06-01 Thread Mark Drela


Is it necessary to heat music wire to get a good 90 bend 
and if so what's the best way to do it?

Don't do it!  Heating music wire sufficiently to soften it 
will also anneal it and destroy its strength.  Once annealed
there's no way to get the strength back other than cold working
(i.e. by destroying the part you just made).  Heat treatment
won't work -- wrong kind of steel.


This is what I do to make clean bends in hefty music wire (between
3/32 and 5/32):

1) First decide on which side of the bend you want to be as straight 
as possible.  On RDS this will be the part of the wire which sits 
in the pocket.  

2) Clamp that part in a vise, tightening just short of forming flat spots 
on the wire.  Vise-Grips or very hefty pliers may also work for the
smaller wire sizes.

3) Bend the protruding part over, using a large piece of metal.  Apply 
the bending force as close to the vise jaws as possible to keep the bend 
localized.  Wear eye protection in case things go SPROING! accidentally.
Hammering on the metal piece may be necessary for really heavy wire.

4) Bend about 5-10 deg PAST the intended angle.  Then bend back 
to the intended angle.


Note 1:  The reason for going too far and then returning is to relieve 
the huge residual stresses (about 1/2 of yield stress!) in the steel which 
would otherwise remain.  The bend will be much stronger then.

It's easy to observe that these stresses are there:  It takes a lot of
force to get from 90 to 100 degrees bend the first time, but starting
the backward bend from 100 to 90 takes much less force.  The residual
stresses at the surface are helping you when you go back.

Note 2:  If the wire cracks at the vise edge, put a softer-material
block between the wire and one vise jaw face, and bend against 
the edge of the softer block to get a larger radius.  I've used copper, 
soft aluminum, even maple. 


- Mark

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Re: Fw: [RCSE] efficent wings for pylon turns

2001-05-29 Thread Mark Drela


 There is still something going on with the wing design of the JW and my
 flying wing. The wing planform and not so much the airfoil changes how the
 wing performs. I use the same airfoil on both my DS Raptor (straight leading
 edge) and my Combat Raptor (swept back wing) and the CG, control throws and
 flight performance is much different. The DS Raptor has a CG that is at 13%
 of chord rather than 28%. The DS Raptor needs less than half the control
 throws that the Combat Raptor needs. Finally the DS Raptor corners like it
 is on rails. The Combat Raptor will not fly if it is set up like the DS
 Raptor so the planform has an affect.
 What I am trying to figure out is why. If I can figure out the Lift Roll
 program I will set up both wings and see what the difference is.


Are you accounting for the zero-lift angle changes from 
the surface deflection?  The Zagi's inversely-tapered
elevons will produce more loss of lift outboard.

Also, there will be a pitch rate effect on the 
lift distribution.  On a swept wing, different spanwise 
locations see a different freestream angle if there's 
a substantial pitch rate present.  This in effect modifies 
the effective twist angle distribution, or the effective 
zero-lift angle distribution, whichever way you want to 
look at it.  

In practice, this pitch rate effect cancels some of the
up-elevon trim power near the tips of a swept wing, so 
more up-elevon is required to get the same effect.  That's
probably what you're seeing in flight.  I'm not sure if 
Liftroll takes this pitch rate effect into account.

Up-elevon significantly reduces the CLmax of the section,
so the larger deflections required by the swept wing may 
induce partial stall, or at least a large profile drag rise.

- Mark

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Re: [RCSE] More Euro Cruciforms

2001-05-01 Thread Mark Drela


The ability to share the elevator servo load between two lessor torque
servos, rather then having one giant servo of the elevator and a smaller
one for the rudder. 

You got that backwards.  A full flying elevator hinged at its mean
quarter-chord puts negligible airloads on its servo.   The rudder
servo will see larger airloads.

- Mark
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Re: [RCSE] ? paint for a HLG tip visibility

2001-04-29 Thread Mark Drela


FWIW, I find that using two bright contrasting colors 
at the tips really helps to see the HLG's orientation
when far away and/or with a cluttered background.  I use
fluorescent red or magenta on the left tip, and fluorescent
blue or green on the right tip, both top and bottom.  
Even when I can't make out the outlines, I can still see 
the tips as two colored dots.

- Mark
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Re: [RCSE] Rx Recomendations

2001-04-28 Thread Mark Drela


I am setting up an e-powered model for the Elexaco event and the trusty
Hitec 555 is begining to look a little heavy.  The Hitec Feather I just
bought seems light enough but as I expect the model to spec out I am
worried about its range BG

I'd go with the dual-conversion FMA Extreme.  
It's 9 grams if you remove the shrink wrap, foam pad, 
and antenna (use thinner wire).  It's also reasonably
priced:  About $60 for RX + crystal.  Works on 3 cells.

- Mark
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Re: [RCSE] Re: F3J model glide ratios?

2001-04-28 Thread Mark Drela


Wouldn't the ground effect have a large affect on your 
measurments in the field?

No.  Ground effect is significant only when 
the altitude is less than about half-span.

- Mark

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[RCSE] Spiral stability

2001-04-12 Thread Mark Drela


A number of people have asked for clarifications or references
on the vertical tail vs spiral stability issue.  There aren't
any that I'm aware of.  Unfortunately it's a very complex subject.
Here's a writeup I did which expands only on the basic effects.
It's still kinda complicated, but I don't see any way to simplify
it further.

- Mark

-

Whether an airplane is spirally stable or unstable depends
on a delicate balance of forces.  After a yaw or bank upset, 
some of these forces oppose the bank (resist spiralling in),
while some act in the direction of the bank (promote spiralling in).
Although the forces are varied and numerous, on a typical 
glider there are four dominant ones, all comparable in importance:

Resist spiraling in:

 roll moment due to yaw angle  Cl_b  (dihedral effect)
 yaw  moment due to yaw rate   Cn_r  (vertical tail's yaw damping)


Promote spiraling in:

 roll moment due to yaw rate   Cl_r  (faster-moving tip has more lift)
 yaw  moment due to yaw angle  Cn_b  (vertical tail's yaw stability  )


The airplane is spirally stable if the first two forces are greater
than the second two forces, all acting together.  The symbols are 
standard aero jargon for the forces.  So we have...

Spirally stable if:

Cl_b x Cn_rCl_r x Cn_b   (*) 


After these four forces are estimated using the airplane's geometry,
the spiral stability criterion (*) above turns out to be approximately 
the same as Blaine Rawdon's criterion after a bit of algebra:

  EDA x (tail_length/span)5 CL(**)


So why doesn't the vertical tail area A_vert come into the picture?  
Because it affects both the yaw stability and the yaw damping equally: 

  yaw damping Cn_r  ~  A_vert x tail_length^2
  yaw stability   Cn_b  ~  A_vert x tail_length

These are opposing forces which appear on the left and right sides
of criterion (*), so A_vert cannot influence the direction of the inequality.
Only the extra tail_length factor in the yaw damping force remains, and can 
be seen in Blaine's form (**).  The other quantities in Blaine's form come 
from estimation of the other forces, e.g.

  dihedral effect   Cl_b  ~  EDA x span^2
  roll due to yaw rate  Cl_r  ~  CL  x span^3


One can also influence the spiral stability criterion "artificially" by
using a rate gyro.  This can be done in one of two ways:

1) Yaw gyro driving the rudder.Increases Cn_r (yaw damping)
2) Yaw gyro driving the ailerons.  Decreases Cl_r (roll due to yaw rate)

In each case, the gyro feedback sign must be set correctly to move the Cn_r or Cl_r
number in the right direction.  Otherwise spiral stability will get worse, not better.

Method 1) works because it increases yaw damping Cn_r, but DOES NOT increase 
yaw stability Cn_b.  Just adding vertical tail area increases both, which
then cancel each other out.

Blaine Rawdon and Bill Watson have demonstrated the effectiveness of method 2) 
in artificially obtaining spiral stability on a full-house Open Class glider:

http://members.home.net/evdesign/pages/technical_articles.html


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Re: [RCSE] Spiral stability

2001-04-12 Thread Mark Drela


Tony Estep writes:

This sez that if your tail moment is 40" and span is
120" and you fly at CL = 1, you need 15 deg of
dihedral to be spirally stable. This is indeed what
Blaine's Crossbow design has, but lots of RES designs
including the Allegro have quite a bit less.
How much spiral stability (in terms of
that constant) is necessary in a practical RES design?

Your CL = 1 assumption is excessive.  Typical thermalling
for most airfoils will be at CL=0.8 or less, since the 
inside tip sees a higher local cl.  The overall average 
CL must be significantly reduced below the straight-line 
stall CL.  The Allegro-Lite has a 30" vertical tail arm, 
a 78.4" span, and thinner than usual airfoils with a max 
circling CL = 0.75 or so.  Therefore its minimum EDA 
needed for spiral stability is

  EDA_min  =  5 * 0.75 * 78.4" / 30"  =  9.8 degrees.

The actual EDA is 12.1 degrees, which is a comfy 23% margin.

- Mark
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Re: [RCSE] Victory C-RES rudder

2001-04-10 Thread Mark Drela


Does an increase in rudder area have any effect on the cg?  
I was thinking it may have an effect in a bank...

I assume you mean whether it affects the aftmost-allowable cg.
It does not.

- Mark

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Re: [RCSE] airfoil question

2001-01-15 Thread Mark Drela

These look different than anything I've ever seen on any r/c sailplane -
or for that matter, anything else that has wings! What's with that 
sharp edge of the front? And what's the deal with that flat surface? 
The flat part is on the top of one airfoil and it's on the bottom 
of the other - not that there's anything wrong with that!

The sharp LE acts as a turbulator.  At min sink trim,
the flow ideally stagnates just under the LE, and curls
around the sharp edge as it goes up and over the top.
At high speed in the launch, the flow ideally stagnates
right on the sharp edge which "turns off" the turbulating
action.  The geometry has to be just right for both
flight conditions to work well.  The approach taken
by most serious IHLG fliers is systematic trial and error 
via prolific building.  These airfoils are extremely 
difficult to design the "modern" way via computation,
since the turbulating action is impossible to predict 
reliably, and it depends on lot on the construction details.
Note that their Reynolds numbers are much lower than
on RCHLG's, so don't get any funny ideas! :-)

The flat facet on the bottom surface serves no purpose other 
than provide some "LE upsweep" which we know is essential 
for low drag at launch.  I think he'd be a bit better off 
if the facet was rounded off and blended smoothly with
the flat bottom surface.  Ron Wittman's record-holding
IHLG "Supersweep" had such a rounded upsweep.  FWIW, 
he got 90 seconds with a conventional throw.
22 in span, 67 in^2 area, about 24g (1.8 oz/ft^2).

- Mark Drela
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RE: [RCSE] Glider turning dynamics ideas

2000-10-13 Thread Mark Drela

Jim Cubbage wrote:

I am curious, most of the methods mentioned seem to me, and I am really no expert, 
to create a left momentum.   What I mean by that is that it seems to me that 
the tendency for the planes will be to roll and continue to roll to the left,
probably until the plane is in a knife edge position.   That means, you will 
have to have some means counter the left tendency with a right tendency, 
otherwise your plane would continue to fall to the left.

The tendency for a plane to steepen its bank simply
means it is spirally unstable.  All aileron gliders
I'm aware of are spirally unstable to some degree,
and hence must be "flown" constantly to keep them
in a circle.

The most common way to eliminate spiral instability is 
to use sufficient dihedral -- at least 8-10 degrees or so
is usually needed (the exact threshold number depends
on the tail length, rudder area, and a few other things).  
Many aileron gliders have some dihedral to make them LESS 
spirally unstable.  Their bank will still steepen, but not 
as fast.  All free-flight models and most properly set up 
RC poly ships are spirally stable.  They will hold their 
airspeed and turn radius without pilot input.

One way to eliminate spiral instability _without_ dihedral 
is to drive the ailerons though a rate gyro which senses 
yaw and roll rate.  Blaine Rawdon and Bill Watson did 
some nice work on this: 
 http://www.rc-soar.com/tech/spiral.htm
Blaine's Plane Geometry spreadsheet and document also
delves into spiral stability and dihedral a lot more.


- Mark Drela
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RE: [RCSE] Aramid/CF material

2000-10-03 Thread Mark Drela

Matt Gewain writes:

 Aramid fiber has a much lower density than carbon or glass fiber 
 so when you replace some of the carbon with Aramid the weight 
 of the model can be reduced.

That's a good point.  I was being perhaps overly
harsh on the hybrid, since I was only considering cases
where the material is pushed close to failure.

In many model applications stiffness is a more
relevant consideration, or there is a minimum-gauge
constraint.  The lower density makes the hybrid 
much more attractive in these cases.

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Fw: [RCSE] Aramid/CF material (slightly OT)

2000-10-02 Thread Mark Drela

However within a year of getting there new Kevlar contraptions 
some people where noticing a certain amount of sag or flex with their boats
sitting on trestles or trailers or when lots of power was put into the riggers, 
the reason was that after 6 months in UV Aramid/Kevlar cloths loose 
50% of their rigidity and all the load was being taken by the carbon 
which was now only half the amount as usual. This years boat models are 
all carbon including the seats, riggers and oars! No flex, higher efficiency. 

Regards 
Daniel Armstrong Chester UK 


Kevlar and carbon have similar tension properties.  However, 
Kevlar is relatively crummy in compression.  When a 50/50
mixed material is put under high compression, the Kevlar in it may 
fail to mush, even though the carbon still holds it in one piece.
Maybe that's what was observed in the boats.  One could oversize
the part so that the Kevlar in it doesn't fail, but then the carbon
is stressed to only a small fraction of its compression load capability.

The bottom line is that Kevlar and carbon by themselves are great
when used appropriately, but mixing them together in a weave 
doesn't seem to make much sense.  In a pure tension situation
their strain-to-failure is comparable, so they can share the load
efficiently.  America's Cup sails contain a carbon/kevlar mix.  
This works well since a sail is always under tension.

Carbon and Kevlar can be effectively used together in 
a compression structure if their fiber orientations 
are different, e.g. carbon spar caps for bending with 
+/-45 Kevlar cloth skin for torsion.  The carbon cap 
will fail in compression first, since the bias Kevlar 
can have a larger bending deformation without failure.
This would not be true for a 0/90 Kevlar skin.

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[RCSE] spar structures questions

2000-09-29 Thread Mark Drela

Jon Stone writes (Re: Allegro spar at CRRC):

What drives the value of sigma (design cap stress)?  The reason I ask, is
that this is the only "variable" driving the equation for tip-deflection.
And I do not know what parameters define the value of sigma.

sigma is simply the stress the carbon fiber can withstand.
The appropriate value depends on the quality of the layup
and whether the cap can buckle or not.  The numbers I used
were large for wet layup carbon, but still somewhat conservative 
for prepreg carbon which cannot buckle.  It is difficult to 
predict the allowable sigma for structures which MIGHT buckle.  
Specimen testing to failure is usually required.


Furthermore, what parameters define your values for sheer stress (tau) and
core stress (sig_C).  I would like to use heavier balsa (say 8 lb) for the
shear web.  Is tau the same as Shear Modulus?

The web's shear modulus (usual symbol is G) is not an issue in most
spars.
What matters is the max shear stress tau ("parallelogramming" stress)
and the compressive stress sig_C (vertical stress).  These two 
stresses depend on how the spar is set up.  The max tau and max sigma
of balsa scale pretty linearly with density.

In the Allegro spar, the shear is taken up entirely by the half of the 
skin fibers which are under tension, and the associated vertical
compression 
is taken up almost entirely by the endgrain balsa core.
So the core stresses are as given in the article:

tau_C = 0
sig_C = tau As / h w

If there is no skin, then 

tau_C = S / h w
sig_C = 0

This is more difficult, since the max tau of balsa is only 
about 1/5 of its max sigma, and the spar may also be subject 
to peel failure at the core/cap bond.  This is why I used a spar skin.
But I have used this second system in my follow-up Allegro-Lite
glider to appear at CRRC soon.  The core takes all the shear load.
Peel is prevented by a Kevlar tow wrap.  Not as weight-efficient,
but it's very compatible with built-up balsa/Monokote structure.


One gent I've talked to used .086" x 1/2" wide carbon spar caps for his
3-meter glider.  The thickness tapered to .040.  He did not use any shear
web at all.  He stated that if the caps were strong (thick) enough, that no
appreciable shear stress was transmitted to the foam core.

Not true.  Whatever is between the caps takes the same total shear load
S.  
What the caps look like is immaterial.  The only way to isolate
the core from shear stress is to use wing skins with huge shear
stiffness
all around.  Picture the Allegro spar skin blown up chordwise 
into an airfoil shape.  But the shear has to go all the way around the
airfoil instead of directly though the thickness, so it's not an
efficient use of shear material, though.

The size of the caps does affect their buckling tendency, which
is a separate issue -- you can have either shear failure of
the core or spar shear skin, or buckling failure of the caps.  
The Allegro spar is aimed at dealing with both of these efficiently.


If you don't use a separate web, then you need 

1) sufficiently thick sparcaps so they don't buckle with only 
the soft foam restraining them.  This favors narrow and thick sparcaps 
(for a given cap X-sectional area).

2) sufficient other "shear stuff" between the caps to take the total S.

Normally the bit of foam between the caps cannot take the 
required tau_C value as computed above.  I think blue foam
has a max tau of 20 psi or so.  However, the total S load
can be spread over a wider chordwise extent by using +/-45 skins 
which are sufficiently stiff in shear (G * skin_thickness is adequate).
Sort of a compromise between the core-only and skin-only shear transfer.
This may require Kevlar or carbon skin, I don't know for sure.
And if the skin is required to transfer the shear from the
cap to the core, it too can buckle with 45 deg wrinkles.
It gets complicated.

Tom Kiesling's private Mantis planes use massive 1" x 0.125"
caps in the center, with 45 deg Kevlar skins and no web
(that's what I gathered from chatting --- corrections welcome).
So it can be made to work, but it's very tough to predict
the max loads without testing, and peel failure from defects
is always a concern.  One reason I went to the Allegro
spar system is that it's sorta idiot-proof.  Predictable 
by analysis, tolerant of defects, and it cannot peel.


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- Mark Drela
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RE: [RCSE] people with molded experience (construction) contact me

2000-09-26 Thread Mark Drela

Are the spar-sizing calculations there the final, corrected ones?

Yes.  The actual web page is below.  Just modify the input numbers
as appropriate for your glider and recalculate as indicated.


http://www.charlesriverrc.org/articles/allegro2m/spar_sizing.txt



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[RCSE] Fuselage Layups

2000-09-06 Thread Mark Drela

I'm pretty interested in making a couple of HLG's over the winter, 
and I had a couple of questions about the Apogee in specific:

1) What is a good source for stiff tailbooms? (CST, ACP?) 

32.5" long Avia "Skinny Ultralight"  7.6g before trimming
www.intothewind.com   catalog #4500  $7.70
You might find a local source to avoid the shipping charge.
The ACP and CST tailbooms are grossly oversized.

2) Pushrods? 
0.012" piano wire. 
www.smallparts.com sells it straightened, and also sells
small-diameter thinwall Teflon tubing for housings.
You can also use 0.015" KS wire, but that is gross
overkill and it will have more friction which is the
major battery juice sink.

3) What layup schedule and materials would suit the fuselage? 
I've never worked with Kevlar before, but am interested 
in trying it out. 
Three layers of 1.8oz Kevlar in the front, two in the back.
It must be bagged into the mold since it is too stiff to
stay put.  Another way to do it is to make a silicone 
cast in each half and use that to press the Kevlar into
the mold.  It's a pain to mold but worth it IMO.

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Re: [RCSE] How should an HLG launch?

2000-08-10 Thread Mark Drela

Dick Barker writes:

The most efficient climb angle is almost straight up. 
Seventy five or so degrees is about right as anything 
greater will drift behind you on the way up and make 
it hard to get a good transition at the top. The steeper 
it goes, the less drag is induced by the coef of lift.

This might be misinterpreted.

I think you meant to say that the _launch_ should be 
almost level, and the _climbout_ after that very steep.  
This will extract maximum additional energy from the
wind.  A near-vertical launch does not benefit from
the wind at all.


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[RCSE] V tails

2000-08-02 Thread Mark Drela

This is probably old hat, but what special considerations 
are there when deciding the angle between the surfaces of a v-tail?

The first thing you have to do is to figure out the 
appropriate horizontal and vertical tail areas, just 
like on any other airplane.  This is done by picking 
appropriate tail volumes.  Once this conventional tail 
is designed, the equivalent V-tail geometry then follows.  
See the following article for the conversion formulas.  

http://www.charlesriverrc.org/articles/design/markdrela_vtailsizing.htm

The DJ Aerotech site also discusses this stuff.  
Or you can fire up Blaine Rawdon's Plane Geometry 
spreadsheet.

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Re: [RCSE] Tail sections vs. handling

2000-08-02 Thread Mark Drela

Derek Boyer writes:

Thanks John. I stumbled across the CRCC website yesterday 
and found Drela's new HLG. I'm always looking for cool HLG
airfoils and will give them a look.  Never did think about 
a turbulator as you suggested. That might even be easier 
than sanding kevlar, carbon, glass and foam :-)

Turbulating HLG tails is almost futile.  The Reynolds number
is too low to permit significant turbulent flow, so if there's
laminar separation it is very hard to quash.

A much better approach is to rely on *attached* fully laminar flow,
so that tripping is a non-issue.  Attached laminar flow can
be obtained with a thin airfoil with the max thickness point
far forward, as you discovered.  Such airfoils always give well
behaved control response no matter how low the Reynolds number is.

The HT05 airfoil on the CRRC site takes this one step further.
It has attached laminar flow even with a modest flap deflection,
so that crisp control is maintained when holding fixed
up elevator in a thermal circle.  The trick that does this 
is the slight dimple in the HT05 surface at the hinge line.
This is "not your father's simple slab tail section", 
but it's worth the extra effort to build IMO.

- Mark






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[RCSE] Proper HLG throwing technique

2000-06-22 Thread Mark Drela

Use a Javelin throw, and enough "up" preset on a spring-loaded toggle switch to 
rotate HARD from the near-level or slightly down angle you release the
plane at, to vertical as instantly as possible. The plane should "park" 
nearly over your head, NOT out in front (much).

You want to pull up fast, but not "as instantly as possible".
Two reasons:

1) The induced drag energy loss in the pullup goes up with 
the g's pulled, so there is an optimum turn radius.  For
a typical HLG a 20-25 ft pullup radius is optimum.  

2) Energy is extracted from the wind when the path curves
upward in the presence of headwind.  If there is a wind gradient 
(and there usually is), a larger radius pullup will see more 
path curvature higher up where the headwind is stronger.
If the glider enters the larger wind while already going vertical, 
the additional wind doesn't do any good.

I fly at Davis Field in Sudbury MA which often has a noticable 
wind shear at about 30 ft up due to surrounding dense trees.  
The best trajectory seems to be a rather sedate pullup so that 
the glider punches through the shear layer at about a 45 deg 
angle rather than vertically.


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[RCSE] Transitional Airfoils (again)

2000-06-02 Thread Mark Drela

what I need is info on how to modify (by increasing camber and washout)
a particular airfoil across the span such that tip stalling is minimized
with minimal impact on performance, and what airfoils do or do not lend themselves 
to such manipulation.  Specifically, I'd like to do this with 
the RG-15.  (In fact I have already done it on two wings, both of which 
seem to fly well, but I was more or less guessing at the amount to 
increase the camber and would like to know if there is a more 
"scientific" method?)

A very safe way to do this is to interpolate two baseline airfoils
in various proportions.  The polar of the interpolated airfoil 
will be quite close to what you get by interpolating the two 
baseline polars themselves.  This seems to work with any two 
sailplane-type airfoils.  At least that's what calculations indicate.
Note:  A foam cutter with two different templates at the ends 
does this interpolation for you.

On the other hand, simply scaling the camber and/or thickness 
of an existing airfoil is more hazardous.  Scaling the camber
from 2% to 4% may increase CLmax a little or a lot, depending 
onthe % thickness and Reynolds number. It may even decrease
CLmax in some cases!  One would have to run tests or calculations 
on the modified airfoil to be certain how it performs.  
There's no guaranteed simple rule to predict it.

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[RCSE] Decalage (was: Stab size)

2000-03-10 Thread Mark Drela

It seems to me that decalage is greatly oversold.  Changing decalage simply
biases the elevator position, and can be entirely compensated via the elevator
trim
on the TX as long as the elevator deflection remains modest.  There should be
no effect on handling.

This is obvious on an all-flying tail...  Increase the wing incidence
1 degree, and add 1 degree down elevator trim on the TX.  The wing and tail
are at the same relative orientation as before, and the glider should fly as
before.
In a conventional hinged elevator, you'll have to add about 2 degrees of down
trim
for 1 degree of wing incidence, but again, the glider should fly as before,
even though 1 degree of "decalage" has been added.

If changing the decalage on the glider DOES produce a noticable change in
handling, then one can conclude that the elevator response is nonlinear,
which indicates something bad and draggy is happening.  Two possible
causes for tail nonlinearity are:

1) The elevator deflection in trimmed flight is excessive  (  5 degrees, say)
before or after the decalage change.  Changing decalage to reduce this
deflection
will surely reduce the tail's profile drag.

2) The horizontal tail has a crummy airfoil which suffers from hysteresis
or other flow pathologies.   Such airfoils are usually draggy.  A proper airfoil

will eliminate this behavior and will reduce the profile drag as a bonus.

If the tail response is linear and the handling doesn't change, then a minor
effect
of adding the 1 degree of wing incidence in the example above is that it lowers
the
angle of the fuselage by 1 degree.   This may increase or decrease the fuselage
drag.
Another minor effect af adding 1 degree of wing incidence is to raise the tail
relative to the wing's wake.  This is not an issue on most gliders, which have
the tail flying well above the wing's wake to begin with.

- Mark Drela


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[RCSE] Re: MH32 VS SD7037

2000-03-07 Thread Mark Drela

For the wing loading you gave, Xfoil sez that the 7037 has about 10% higher
usable CLmax
than the MH32.  But the MH32 has a lower Cd at higher speeds.

But as Don Stackhouse pointed out, the two airfoils want different wing loadings

(different chords) for a meaningful comparison.  If you assume the MH32 wing
has the same span but a 10% bigger chord than the 7037 wing, then Xfoil says the

two wings are almost indistinguishible in both thermalling speeds and
penetration.
The appropriately scaled polars are right on top of each other.  The larger MH32

wing area almost exactly cancels its lower  Clmax and lower Cdmin.

The larger MH32 wing has more volume and skin area normally means it may
be heavier,  but on the other hand the larger thickness means the skin can be
thinner
which may compensate.  Still may be a toss-up.

In reality the quality of construction will obviously have a significant impact
on the relative performance.  This is tough to quantify.

- Mark Drela



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[RCSE] Re: Composite spar sizing

2000-02-18 Thread Mark Drela

Tom Seitz writes:
I understand that for applications where the wing will be really stressed, it
is better to put the spar at the 1/4 chord point, the reason being
that this is where all the bending force is applied.  If the spar is offset
from this point, the wing will tend to warp.
Is this correct? Or is the max thickness point close enough to the 1/4 chord on
many airfoils not to be significant?

The center of lift location as a fraction of chord isx/c  =  0.25  -  CM/CL.

In a typical winch launch of a typical glider  CM = -0.05,  CL = 1.0,
and so the center of lift is closer to 30% chord.  This is the place to put the
spar if you want to minimize twisting.   If the wing is very stiff torsionally
this may not matter.

- Mark Drela



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[RCSE] Camber change versus span

2000-02-14 Thread Mark Drela

Chris Adams writes:
I am trying to understand the reasons for changing camber as one progresses
from the root to the
tip on small wings.  Can anyone tell me more about the lower camber at the tip
and whether this
induces effective washout on the wing?

There are numerous airfoil/planform/twist conflicts between the following
requirements:

1) Good penetration L/D or good handlaunch height.  This wants all spanwise
locations to go to zero
Cl at the same time as the aircraft's AoA is reduced, and also for each location
to remain within its airfoil's drag bucket.

2) Tip stall resistance in tight circling maneuvers.  This wants smaller Cl
towards the tip, preferably
with more stall-resistant tip airfoils.  This is complicated by the lower tip
Reynolds numbers due to taper.

3) Minimum induced drag.  Assuming the span is fixed, this ideally wants the
c*Cl distribution to be elliptical at slow thermal speeds.  Two extreme
possibilities are :
  i) a constant chord c, with elliptical Cl via washout --- great for 2), awful
for 1)
  ii) an elliptical planform c,  constant Cl via flat wing and constant airfoil
--- OK for 1), bad for 2)


The simplest safe baseline compromise solution is:
a) A constant airfoil, zero twist, and a planform with a considerably wider tip
than elliptical.  This is
nearly ideal for 1), OK for 2), and least favorable for 3).

The following fine-tuning mods can be done:
b) The tip airfoils are thinned, while maintaining their camber and keeping the
zero twist.
This benefits 2) the most, since it compensates for the lower tip Re and usually
gives a larger
local Clmax.  But this thinning narrows the tip airfoil's bucket somewhat, which
may penalize 1).
The c*Cl stays the same, and so 3) is unaffected by this mod.  Note: The smaller
thickness makes the
tip airfoils appear more undercambered, even though their camber has not really
been changed.

c) The tip chords are narrowed slightly from the "simple" wider-tip  solution,
and some washout
is added.  This mod can make the loading nearly elliptical, and benefits 3) the
most.  On the other hand,
2) is more or less unaffected, but 1) will suffer if the washout is done to
excess.

d) The tip chords are narrowed slightly as in c), but the tip chords are
decambered the correct amount
in lieu of washout.  This benefits 1) at some cost to 2).   The benefit to 3) is
same as with c).


My HLGs use a blend of mods b) and d).
My current 2-meter RES project uses a blend of b),c),d) in suitable proportions.

I don't know what's best for F3B.

The best combination of mods b), c), d)  depends on which performance
consideration is most
important.  If 1) is most important, like in a windy-day HLG, the simple flat
wing solution a)
may be best.  If you want a calm-day floater for small and weak thermals, then
making mods
b) and c) is most appropriate.  Mod d) is useful in lieu of c) to keep the wing
flat for easier
construction perhaps.

- Mark Drela









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[RCSE] Composite spar sizing

2000-02-14 Thread Mark Drela

I recently built a composite spar sample and tested it to destruction.
The following is a writeup of the test, followed by some calculations
for sizing an actual glider spar to take a given load.  It should be useful
for do-it-yourselvers.  Note: A fixed-width font is required to view
the high tech ASCII graphics  :-)

Spars of this type have incredible strength/weight ratios.  They make
much better use of carbon fiber properties than piling carbon layers
into the skin, since the compact spar cap is supported very well against
buckling.  With the spar taking all bending loads, only a light bias glass skin
is required to take the remaining torsion loads.  My 180lb-winchload 2-meter
wing has a 3.5 oz spar, and will end up under 12 oz total.  A 120in Open Class
spar should come in at about 8 oz.  Tough to beat that with any other type of
construction, although it does take more work than a simple thick-skin wing.

The CST website www.cstsales.com shows how to build a spar of this type.
They use sparcaps tapered in thickness rather than in width, and use
hard Rohacell rather than endgrain balsa for the core, but these are details.
They also use a heavy  woven carbon sock as the shear skin, which appears
to be major overkill according to my test.  Light glass cloth is adequate.

- Mark Drela





Standard 4-point bending test on 11 inch long composite spar sample.  
---
Mark Drela
8 Feb 00


Test description 

The spar sample was designed to produce material stresses in the
spar caps and shear skin comparable to those in an RC glider 
on a hard winch launch. 

=   CF spar cap
|   |
|   |   endgrain balsa core
|   |
|   |
=   CF spar cap

Glass skin on the bias is wrapped twice all the way around, 
with the seam along the top of one spar cap.

4.5 lb endgrain balsa core:  0.35 in wide  x  0.48 in high
Precured prepreg CF caps  :  0.35 in wide  x  0.021 in thick  (3 plies)
1.5 oz glass skin (+/-45) :  2 layers, 0.005 in thick total

Small endgrain basswood inserts replace balsa core at load points.
Sample weight = 11.2 g

Caps were first bonded to balsa core with slow epoxy.
Glass skin was wrapped completely around spar with West 105/206 epoxy, 
under 15 in-Hg vacuum (intentionally reduced vacuum to avoid crushing 
the soft balsa core).  Sample was cured for several days before test.

Four load points L = 3.7" apart:

   F/2F/2
|  |
v  v
 ==X===
 ^^
 ||
F/2  F/2

Skin failed in shear at F = 180 lb at location X, with diagonal buckle 
lines and tears.  Failure appears to have started along the edge or the
spar cap, where the skin goes over the 90 degree bend.  Rounding off 
the cap edge to reduce this kink curvature is likely a good idea
if the skin is marginal for the shear load.


Stress calculations

Cap thickness  :  Tc = 0.021 in
Spar width :  w  = 0.35 in
Net spar height:  h  = 0.50 in
1 spar cap area:  Ac = 0.00735 in^2   =  w Tc
Bending inertia:  I  = 0.00092 in^4   =  h^2 Ac / 2
Shear skin thk :  Ts = 0.005 in
Shear skin area:  As = 0.005 in^2 =  2 h Ts

Max bending moment:  M = L F/2 = 330 lb-in
Spar cap load :  P = M/h =  +/-660 lb
Cap axial stress  :  sigma = P/Ac =  +/-9 psi   (no sign of failure)

Max skin shear load: S = F/2 = 90 lb
Skin shear stress  : tau = S/As = 18000 psi  (at failure)


Scaling test results to winchproof RC glider spar
-

Typical two-meter glider example...

Sparcap thickness  : Tc =  0.042 in  (6 plies, commonly sold as 0.045 in)
Design cap stress  :  sigma = 10 psi (somewhat conservative I think)
Design shear stress:tau =  12000 psi (50% safety margin)

Note: The bottom spar cap is in tension, and can surely tolerate
at least 15 psi or even 20 psi stress.  The bottom cap 
can therefore be only 2/3 or even 1/2 as thick as the top.


Conditions at wing root:

wing span   :  b = 78 in
wing load   :  F = 160 lb(winch line force)
spar height :  h = 0.9 in(9% airfoil with 10 in chord)

bending mom.:  M = b F/4 = 3120 lb-in
cap load:  P = M/h   = 3467 lb
shear load  :  S = F/2   = 80 lb

required cap area   :  Ac = P / sigma = 0.035 in^2
required cap width  :   w = Ac / Tc   = 0.83 in

required shear area :  As = S / tau   = 0.0067 in^2
required skin thick.:  Ts = As / 2h   = 0.0037 in   (2 layers of 1.5 oz glass)



Ideally one wants to taper the spar dimensions so as to maintain constant 
sigma and tau.  This will give minimum weight for a given strength.

Assuming the cap thickness Tc and spar height h are roughly constant, 
the relative spar width and shear skin thickness should taper as follows:

   center  .. midspan  .. tip
   ---
 w  ~  1.00.560.250.060.0
 Ts ~  1.00.750.500.25  

[RCSE] Re: SD 6063 for Handlaunch?

2000-01-21 Thread Mark Drela

Martin Brungard wrote:

I've done some fiddling with airfoils using Hepperle's code to come up
with  something that better suits the HLG flight regime than the
S6063. I don't  think that the S6063 was designed for very low Re
anyhow. I would sure love  to see Selig or Drela create a better HLG
airfoil since they have more  knowledge and tools than me.

Well, since you asked, I've attached the AG04 section which  I described
earlier.
I've had very good success with it on my 36"  and 40" HLG's with 4.5"
avg chord.
It has 6.4% thickness and 1.75% camber.  At the tips I used a slightly
thinned
version --- 5.8% thick, about the same camber.

This section will NOT benefit from reflex on launch, since its drag
bucket goes
down to zero lift, provided the bottom surface is built accurately,
especially
at the front.   According to XFOIL, the CLmax is significantly higher
than
the S6063's.  It seems to float reasonably well, in any case.

At the low Re numbers it also benefits very little from downward flap
deflection
(i.e. flaps or flaperons just screw it up in every way).  So it's best
suited for poly ships.


Mark, I concur with your recommendation to increase chord for the S6063
to  get the loading down and the Re up. I was very surprised
when DJ Aerotech  came out with the higher aspect ratio Spectra
recently.

The higher aspect ratio does pay off provided the weight is reduced
correspondingly.
DJ Aerotech certainly succeeded doing that.   The "optimum" AR is higher

if you keep thinning the airfoil as the Re dwindles, rather than keep
the
airfoil fixed.  The best airfoil for the Spectre will be thinner than
the best
airfoil for the Monarch.  I don't know if it actually is thinner.
Structural
issues push the thickness the other way.


High  aspect ratio wings are inherently more pitch sensitive and
difficult to fly.

I don't think that's the case.  If the tail is sized correctly, bad
pitch behavior
may be due to low Re effects on the wing's Cm or the tail's Cl.  Either
problem
can be avoided if proper airfoils are used.

- Mark Drela





AG 04
 0.990.000670
 0.9948700.001167
 0.9849630.002107
 0.9732880.003174
 0.9609100.004278
 0.9483320.005403
 0.9357080.006542
 0.9230680.007688
 0.9104230.008838
 0.8977820.009989
 0.8851480.011139
 0.8725220.012283
 0.8599010.013420
 0.8472830.014552
 0.8346690.015674
 0.8220560.016786
 0.8094430.017889
 0.7968310.018980
 0.7842170.020061
 0.7716010.021132
 0.7589850.022192
 0.7463660.023242
 0.7337430.024281
 0.7211200.025311
 0.7084960.026332
 0.6958720.027342
 0.6832490.028342
 0.6706290.029330
 0.6580100.030306
 0.6453930.031267
 0.6327790.032216
 0.6201670.033147
 0.6075570.034064
 0.5949500.034963
 0.5823460.035844
 0.5697450.036705
 0.5571470.037545
 0.5445510.038364
 0.5319590.039158
 0.5193700.039929
 0.5067830.040673
 0.4942000.041391
 0.4816200.042082
 0.4690420.042741
 0.4564670.043370
 0.4438950.043967
 0.4313250.044532
 0.4187580.045062
 0.4061950.045558
 0.3936360.046016
 0.3810820.046436
 0.3685330.046816
 0.3559900.047155
 0.3434560.047449
 0.3309290.047699
 0.3184130.047899
 0.3059080.048048
 0.2934160.048143
 0.2809380.048180
 0.2684770.048156
 0.2560360.048067
 0.2436150.047906
 0.2312190.047672
 0.2188520.047357
 0.2065160.046956
 0.1942190.046460
 0.1819650.045864
 0.1697620.045159
 0.1576180.044335
 0.1455440.043381
 0.1335520.042286
 0.1216590.041034
 0.1098830.039614
 0.0982520.038005
 0.0867960.036191
 0.0755610.034151
 0.0646020.031864
 0.0540030.029317
 0.0438990.026506
 0.0345160.023466
 0.0261870.020297
 0.0192500.017178
 0.0138390.014300
 0.0097980.011763
 0.0068150.009556
 0.0046040.007625
 0.0029580.005908
 0.0017390.004355
 0.0008610.002932
 0.0002850.001613
 0.180.000382
 0.85   -0.000805
 0.000554   -0.001985
 0.001456   -0.003123
 0.002756   -0.004215
 0.004455   -0.005308
 0.006633   -0.006445
 0.009447   -0.007655
 0.013152   -0.008964
 0.018112   -0.010393
 0.024689   -0.011906
 0.032994   -0.013392
 0.042729   -0.014711
 0.053413   -0.015788
 0.064674   -0.016627
 0.076299   -0.017257
 0.088178   -0.017709
 0.100238   -0.018017
 0.112430   -0.018202
 0.124717   -0.018284
 0.137072   -0.018277

[RCSE] subject author date 49103 Re: Soaring V1 #741 Robin Badenoch Mon Jan 17, 2000 49104 Re: Carbon tailboom source Tom Broeski Mon Jan 17, 2000 49105 METRIC 2METRE Garry Whitfield Mon Jan 17, 2000 49106 Re: Dynamic Soaring in Kentucky Michael Neverdosky Mon Jan 17, 2000 49107 DS a Building Rudy Siegel Re: Carbon tailboom source

2000-01-17 Thread Mark Drela

Tom Broeski writes:
http://www.intothewind.com

Their Avia wrapped tapered carbon tubes are perfect for HLG tailbooms.
At about $8 these aren't cheap, but they are almost half the weight of
pultruded tubes for a given bending stiffness.  They are also much
better
in torsion.

They have three weight - stiffness grades:

 Skinny Ultralight 7.7g  ,  stiffness =1.8
 Skinny Super UL11.7g  ,  stiffness =3.2
 G-force Ultralight  13.0g  ,  stiffness=4.9

The weights are for the shorter 32.5" lengths.
The stiffness numbers are relative.

The two Skinnys have the same ID's but different wall thicknesses.
The G-force has a larger ID and hence a much better stiffness/weight
ratio.

The big end of the Skinny Ultralight is perfect for 3-4oz , 30"-40"
gliders.
For a 60" glider the small end of the G-force is probably just right.

- Mark Drela


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