Nonlinear Dynamic Analysis of a Trochoid Cam Gear with the Tooth Profile Modification

A trochoid cam gear (TCG) is a kind of precise transmission device with high performance, such as non-backlash, high precision, low noise, etc. Generally, the tooth profile modification technique is essential to influence the dynamic performance of TCG, which has not been studied. In the present, the equations of tooth profile modification are constructed to analysis the nonlinear dynamics of the TCG. Firstly, the tooth profile modification equation is deduced according to the requirement of meshing impact reduction. Secondly, considering the time-varying principal curvature radius of tooth profile and the nonlinear relationship between forces and deformations, a translation-torsion nonlinear dynamic model is established to further construct the nonlinear model of TCG. Finally, the dynamic characteristics of the TCG with three key parameters (the damping c, the radius dr of roller and the short amplitude coefficient K) are investigated. The tooth profile modification technique proposed herein can improve the system stability. Moreover, by increasing c and K, or decreasing dr, the performance of TCG can be improved to maintain stable motion state.