:) maybe i'll work on drawing a triangle while this confused

screen drawing would be really useful for that gear prototype

oh hey!!!! i am confused and is different thread but i 3d printed a
gear that works! i also reviewed the gear code more!! it's so
interesting and funny-hard

so first i tried 3d printing a bunch of gears from that parametric lib
(also if websearching there are a lot of other parametric gear
bearings turning up sometimes, websearching is so weird)
i printed one using the default settings but it was all bonded up like
my gear!! it wouldn't turn even with days of trying to work it.
i then printed a grid of smaller ones with looser tolerances, but they
all fell apart. still this was better than them binding! it shows
other things are possible!

then i tried configuring it to be similar to the gear that works that
doesn't have design available. i had guessed the pressure angle to 53
degrees and set that. i roughed the sizes as 40 mm wide and 15 mm tall
and set those. then i printed an array of different tolerances and
sizes (because 40 mm is huge for testprints).

sadly this newer print also failed, but it seemed to relate to the 3d
printer. the first layer would get pull off the bed a little bit in
spots, then get knocked by the printer head and start spaghetting. i
asked the library techs but they didn't seem to know too much about
the more exotic things [confusion-causation-building here

it kept doing it in the same area over and over.

so i tried again a week or so later. i had reviewed the parametric
code a little and i thought i found a bug with setting the width of
the ring. the area pulling up was at the ring. it was really skinny,
not much space for bed adhesion. so i changed the line of code that i
didn't understand to something i did understand, and made the ring 5
mm wide (instead of shrinking to 0.9*D/(1+tooth_depth) i did (D -
ring_width)*(1-tooth_depth) .. kind of roughly, something along those
lines). additionally because a week had passed they had likely retuned
the printer since they get a lot of use in that library (a lot of
libraries they sit unused!)

and this time it printed and spun! so now as of (yesterday? day
before? yesterday. it printed overnight.) i have a parametic gear
bearing that spins! _but not with my code yet_.

but in studying the code my code is really similar to their code. i
think the problem is mostly that i used 0.10 mm tolerance and a crummy
3d printer. it seems to need 0.125mm tolerance to not bind (although
smaller gears seem able to take more tolerance, maybe because less of
the tooth point is sliced?) and is even smoother with 0.15mm
tolerance.

there were two or three major differences between the openscad
parametric code and mine:
- the openscad code makes more approximations. it approximates the
involute curve as a 5-line polygon, and it approximates the tooth
curve as a right triangle at the pressure angle when doing other
arithmetic.
- the openscad code decides the tooth bounds based on min and max
radius rather than angle (the calculation is pretty simple, it uses
the distance formula)
- the openscad code does tolerances from the tooth edge with a
backlash angle calculated based on the pressure point and making the
right triangle approximation

i think that last item, the backlash, is most likely to make my gears bind.
but there's also so much existing gear stuff !
the openscad BOSL2 library has exhaustive documentation on all their
gear variants at https://github.com/BelfrySCAD/BOSL2/wiki/gears.scad .
It describes all the different parts and properties of normal gears
for openscad programmers. Of course when I daydream a weird new
parametric gear, I'm not sure how to use openscad to do that, but
maybe I should learn.

That website is so cool (for gears) !
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