考虑时变摩擦系数的微线段齿轮系统动态特性分析

结合微线段齿轮的啮合特性，将其啮合过程离散化，建立了微线段齿轮6自由度啮合耦合动力学模型，模型中考虑了时变摩擦系数、时变的基圆和压力角等非线性因素。采用数值积分法研究对比了渐开线齿轮和微线段齿轮在不同工况下的动力学响应，结合频谱图和分岔图分析了参数对微线段齿轮横向振动的影响以及摩擦系数对系统稳定性的影响，并通过试验对比微线段齿轮与渐开线齿轮在实际运转过程中的振动情况。结果表明，微线段齿轮相比渐开线齿轮振动更小，系统稳定性更好，在中高速重载下优势尤为明显。摩擦系数对于微线段齿轮的振幅影响较小，但是增大摩擦系数会使系统提前结束混沌响应。微线段齿轮箱在实际运转过程中的误差和振动更小，性能更好。

Research on the Nonlinear Dynamics of Micro-segment Gear System with Time-Varying Friction Coefficient

A systematic dynamic analysis of a micro-segment gear system with time-varying friction coefficient, time-varying base circle, and time-varying stiffness is made. A six-degree-of freedom nonlinear dynamic model of a micro-segment gear is established by discretizing the meshing process. The numerical integration method is used to study the dynamic response of the micro-segment gear and involute gear under different operating conditions. The effects of different parameters on radial vibration are investigated from the amplitude–frequency response and bifurcation diagram. Through the experiment, the micro-segment gear and the involute gear are compared during the actual operation. The results reveal that compared with involute gear, micro-segment gear has smaller vibration and better system stability, especially in the case of medium-high speed and heavy load. The common amplitude value can be effectively reduced by increasing the support stiffness and the support damping, but the change in the support stiffness changes the position of the resonance region. The friction coefficient has little effect on the amplitude of the micro-segment gear, but increasing the friction coefficient causes the system to end the chaotic response ahead of time. The error and vibration of the micro-segment gearbox during actual operation are smaller and the performance is better.