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提出了提高多级斜齿圆柱齿轮传动系统动态性能优化设计方法。重点论述了系统动力学模型的建立，运动微分方程的求解方法和优化数学模型。由于系统动力学模型考虑了多对齿轮的转动惯量、时变啮合刚度、误差、阻尼以及轴的转动惯量和刚度，因此，所建立的微分方程式是多自由度时变方程组，对此，本文采用模态分析法与状态空间法相结合的方法进行求解。在此基础上，建立了提高齿轮传动系统动态性能优化设计的数学模型。实例计算证明，动态性能优化设计后的齿轮传动系统，其动态性能有明显的改善。
The optimization design method to improve the dynamic performance of multi-stage helical gear transmission system is proposed. The establishment of system dynamics model, the solution of motion differential equation and optimization mathematical model are mainly discussed. Since the system dynamics model considers the moment of inertia, time-varying meshing stiffness, error, damping and shaft moment of inertia and stiffness of multiple pairs of gears, the established differential equation is a system of multiple degrees of freedom time-varying equations. For this reason, Using the method of modal analysis and state space method to solve. On this basis, a mathematical model to optimize the dynamic performance of gear drive system is established. The case study shows that the dynamic performance of the gear transmission system with optimized dynamic performance has been significantly improved.