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 d_r 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 d_r, the performance of TCG can be improved to maintain stable motion state.

摆线凸轮齿轮（TCG）是一种无齿隙，高精度，低噪音等高性能的精密传动装置。通常，齿廓修正技术对影响TCG的动态性能至关重要。尚未研究。目前，构造了齿廓修正方程以分析TCG的非线性动力学。首先，根据减小啮合冲击的要求推导了齿廓修正方程。其次，考虑齿廓的时变主曲率半径以及力与变形之间的非线性关系，建立了平移-扭转非线性动力学模型，进一步构造了TCG的非线性模型。最后，c，研究了滚子的半径d _r和短振幅系数K）。本文提出的齿形修改技术可以改善系统稳定性。此外，通过增加c和K或减小d _r，可以提高TCG的性能以保持稳定的运动状态。