Modal Analysis of Nutation Drive with Double Circular Arc Spiral Bevel Gear

Nutation gear transmission combines nutation drive mode with double arc tooth profile, which has the advantage of large deceleration ratio and solves various problems in the traditional involute gear profile transmission. In his pa-per, the numerical solution and MATLAB software are used to solve the free vibration equation of the nutation system. And the undamped free vibration natural characteristics of the nutation transmission system of bevel gears are obtained. Then it reveals the influence of different physical parameters on the natural frequency of the system. The study and analysis mode shape of double circular spiral bevel gears under the natural frequency are carried out by using finite element software ANSYS. The natural frequencies of the system and each double circular arc bevel gear are compared and analyzed. After it the natural frequencies of the nutation drive system with 150%, 200% and 250% average meshing stiffness and 150%, 200% and 250% nutation gear support stiffness are calculated and compared. At last chapter, we get the orders vibration pattern and know the 7th order is the most influential one by finite element analysis in the ANASY. The natural frequencies of the system and each double arc bevel gear are compared and analyzed.