Do you even need a rotory table to cut a spiral?

> On Apr 10, 2024, at 12:09 AM, gene heskett <ghesk...@shentel.net> wrote:
> 
> On 4/10/24 01:57, John Dammeyer wrote:
>> A friend and I have been discussing exactly how to write the G-Code to
>> create a spiral scroll.
>> His rotary table 90:1 reduction with a 1600 micro-step motor could be set up
>> to move N steps for each step of the X axis to create the spiral.  But that
>> approach seems clumsy.
>> Say I wanted to cut a scroll with a 6mm pitch using a 3mm cutter.
>>  Without using G2 or G3 it's really just a triangle isn't it?  Move rotary
>> table distance A and move X axis distance A'.  Do it in small enough
>> increments and you get a spiral.  But I feel like I'm missing something
>> really simple.

Do you need a rotary table to cut a spiral?   It is just a series of locations 
in (x,y).  OK, if you wanted to use only (say) the X and A axis then you should 
use polar coordinates, not cartesian. The equation of a spiral on polar 
coordinates is very simple.  Then you evaluate itat many thousands of points 
and at each point write gcode to “cut to” that point.    You would not need the 
rotary table.

Also why think in micro-steps and worm gear rates, you are using LCNC to do the 
kinematics, Use millimeters.

I think this problem shows that in some cases you really can not write the 
gcode by hand.  FOr continous curves in (x,y) there might be 100,000 or more 
lines of code in the file, especially if you don’t do the cut in one pass.  You 
would nee towrite software to generate the g-code.   Or use existing software, 
a lot of CAD systems will do this for you


> First, a 90/1 is quite high. I have two rotary's, both consisting of a 3NM 
> 3phase stepper/servo I made by combining the 3NM motor with a 5/1 worm. Using 
> a screw in the worms output hub as a single prox sensor index pulse 
> generator. To calibrate a complete rev, I measure the steps by starting the 
> count on the 3rd turn ans stopping the count on the 103rd turn, which gives 
> me a scale*100.  Shift the decimal point 2 places left this becomes the scale 
> for the axis in the .ini file.  All this math in linuxcnc is floating point 
> so I can ask it for 33.333 degrees and it will run to what it thinks is 
> 33.333 degrees. This stepscale:
> STEPSCALE               = 22.22222222222 = 1 degree
> So one count is about 1/22.22222222222 degrees, probably less than the 
> backlash in the rvs39 worm, a pretty cheap worm.
> 
> Currently to make one of my maple vise screws, starting at 0 degrees its 
> around 60,000 degrees it turns for around 400 mm of screw that y travels. 
> Then I lift the tool, turn it another 180 degrees, re lower the tool and 
> bring y back to zero and b=180. Makes a perfect two start buttress thread. 
> The B is turning, in perfect sync with the Y motion, at something in the 300 
> to 400 rpm range. That 3NM motor is heating but not dangerously so.
> 
> There is no reason you couldn't lay it down to make a C drive, and 
> simultaneously drive X Z & C to carve an impeller in a quite serviceable 
> scroll.
> 
> The versatility of the closed loop stepper/servo, which does EXACTLY what the 
> TP tells it to do, without a PID in the path, is amazing. I have them rigged 
> to e-stop linuxcnc in about a millisecond if they make an error, like losing 
> a step. Tested till the cows come home, has yet to happen working a job. I 
> haven't hobbed any gears, but it certainly seems accurate enough to do it.
> 
>> Suggestions?
>> Thanks
>> John
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> 
> Cheers, Gene Heskett, CET.
> -- 
> "There are four boxes to be used in defense of liberty:
> soap, ballot, jury, and ammo. Please use in that order."
> -Ed Howdershelt (Author, 1940)
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> - Louis D. Brandeis
> 
> 
> 
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