You are absolutely right about starting from basics. In fact, I was trying to do exactly that when I saw the derivation of Willi's equation, but I got too caught up with their method of adding angles. I read your last two posts in a lot more detail and now I truly understand everything and can...
Hello @Juanda thank you sooo much for these calculations!
I tried equations 3, 6, 9 for the yellow, green, red, cyan (ring) gears and it worked perfectly, with the numbers and the direction of movements of gears too! I'll be honest, I don't quite understand them immediately, but I will...
https://we.tl/t-57fpOcfZHr
Here's a link to the paper that I had referred to. @Juanda
It is a different paper from the one you have shared. But it doesn't show the changes in velocity or angles, just the final formula.
Thank you @Juanda for such a detailed reply.
In the end I could only figure out the calculations for the compounded gear (from the paper), but not for the one with idler gear. If I use two idler gears, and keep the size of the planet, sun, and ring the same then I get the exact results in CAD...
Thanks! I have been following the same page for my calculations but the problem is that they assume that the same planet gear meshes with the ring and sun, but in my case those two gears are different (albeit compounded).
Update: I found a paper which contained the formula for compounded gears...
Yellow is sun, dark blue and red are planets , green is idler.
Teeth of sun: 30 and 100
Teeth of blue planet: 30 and 70
Teeth of red planet: 30
Teeth of ring: 200
Teeth of idler: 55
The aim is to achieve the same degree of rotation (but in opposite directions)) of carrier carrying blue planet...