How to coupling two bevel gears?

Dear all,

I have three bevel gear, and I wanna use those three gears to simulate a differential gear box. Show as follows. When the horizon bevel gear (num 1 and num 2) have same velocity, the vertical gear (num 3) should rotate in the z-axies in the world frame. when the horizon bevel gear(num1 and num2) have different velocity. The vertical gear(num3) should rotate along z-axies and y-axies in the world frame. And the kinematics show as the second picture.

My questions is , when I try to do this, I can control one rotate direction, along Z axies or along y, I can not control two of them. How do I solve this problem. I try many methods but it doesn' work. Thank you very much.

And my simulink model show as follows:

The kinematics which I want.

Answer 1

[Steve Miller]

Hi @Linzhu Yue,

An example showing two bevel bears is included in the Simscape Multibody Parts Libary

https://www.mathworks.com/matlabcentral/fileexchange/36536-simscape-multibody-parts-library

Screenshots below.

--Steve