基于齿侧间隙的非线性系统动力学建模及仿真

Modeling and Simulation of Gear System based on the Nonlinear Clearance

对单级斜齿轮传动机构进行了系统动力学建模与数值分析求解,针对齿侧间隙非线性问题采用连续的双曲正切函数来代替,把难于处理的非线性问题转换成线性问题。新的求解方法提高了数值稳定性,通过比较齿侧间隙对齿轮传动啮合力的影响,分析齿轮传动过程中外载下的位移响应曲线,为提高齿轮传动精度提供依据。

This article carried out the system dynamics modeling and numerical solution for single-stage helical gear transmission mechanism. Continuous hyperbolic tangent function was used for the backlash nonlinear problem; the difficulty of nonlinear problem was transformed into a linear problem. This new method improves the numerical stability, through comparing the influence of the backlash on the gear meshing force and analyzing the displacement response curve so as to provide the basis for improving the accuracy of gear transmission.