How to Calculate Forces on Sun Wheels in a Planetary Gear System?

[Gunter1977]

Hello everyone,

I hope somebody can assist me with this. I am working on a calculation for a planet gear with 4 sun wheels and 1 planet wheel. The aim is to determine the forces on the sun wheel. Initially, I have 3 equations and 4 unknowns. By making an assumption based on symmetry, I now have 4 equations. Unfortunately, I am not getting the correct results. Does anyone know where I can find more information on this or perhaps have a tip? Is my assumption correct regarding the average forces over the teeth? For more information see the attachement .

Thank you in advance.

 

[Gunter1977]

Hi

I'm thinking based on the assumption that the arms are symmetrical and the forces are equal on these arms, then I believe this could be the solution. There are probably more methods available, and I'd be glad to hear about them or any points for improvement, or if I'm entirely mistaken.

Thank you in advance

 

[Lnewqban]

Please, excuse my late response, @Gunter1977

Please, see:
https://www.tec-science.com/mechani...-equation-of-planetary-gears-willis-equation/