Research on Torsional Dynamic Model and Rigidity Excitation of Cycloid Ball Planetary Transmission System
A torsional dynamic model of the cycloid ball planetary transmission system is established with considering the direction changing of engagement force and the multi-balls engagement in transmission process. By analyzing the position relationships of each engagement force and the displacement relationships of each component, the governing differential equations of system as well as the dimensionless equivalent engagement rigidities of each transmission disc are derived, and the frequency spectrum of the engagement rigidity excitation is present. The results show that the cycloid ball planetary transmission system is a parametric vibration system. The engagement rigidity excitation between the center disc and the planetary disc is a periodic and time-variant function, and the high-order harmonic components are included in the frequency spectrum.
Zeyong Yin, Chengyu Jiang, Datong Qin, Peixin Qiao and Geng Liu
P. Zhang et al., "Research on Torsional Dynamic Model and Rigidity Excitation of Cycloid Ball Planetary Transmission System", Applied Mechanics and Materials, Vol. 86, pp. 775-778, 2011