考虑内部激励随机性的两级分流式人字齿轮传动动力学特性

根据某特种装备用两级分流式人字齿轮传动系统的构型特点,考虑轴承变形、啮合刚度、啮合误差和齿侧间隙等因素,建立了两级分流式人字齿轮传动系统的轴承-齿轮耦合非线性动力学模型。采用Runge-Kutta逐步积分法求解系统的非线性动力学微分方程,从而获得随机啮合刚度和啮合误差激励作用下两级分流式人字齿轮传动系统的动态啮合力和动态支承力及其频谱,采用Monte Carlo仿真获得动态啮合力和动态支承力的统计特征,研究了啮合刚度和啮合误差随机性对动态啮合力和动态支承力的影响规律,为两级分流式人字齿轮传动系统动力学优化以及动态可靠性优化奠定基础。

Dynamic characteristics of two-stage split herringbone gear trains considering the randomness of internal excitations

According to the configurationally characteristics, a bearing-gear coupling non-linear dynamics model of two-stage split herringbone gear trains used on special equipment will be presented, and this model includes bearing stiffness, mesh stiffness，mesh errors and gear backlash. Then the Runge-Kutta step-by-step integration method will be used to solve the non-linear differential equations of motion of a two-stage split herringbone gear train, and the time travel curve and frequency spectrum of the dynamic meshing force and dynamic bearing force can be obtained involving random mesh stiffness and mesh error excitations, and further, the statistical characteristic of them can also be obtained by Monte Carlo simulation to analyze the influences of the discrete degree of random mesh stiffness and mesh errors on dynamic mesh force and dynamic bearing force. The research results lay a foundation for the dynamic optimization and dynamic reliability optimization of two-stage split herringbone gear trains.