齿轮时变啮合刚度改进计算方法

Study on the Improved Algorithm of the Time-varying Meshing Stiffness of Gear

齿轮时变啮合刚度是齿轮系统动力方程的重要基础参数,针对目前时变啮合刚度主要利用有限元方式计算,效率偏低的问题,以及解析法石川公式仅考虑齿轮轮齿刚度,未考虑齿轮轮体刚度,容易在齿轮动力学分析中引入高次谐波激励的不足,本文在详细介绍解析算法石川公式中重要参数算法的基础上提出改进的石川公式,为齿轮动力方程提供一个整体意义上的时变啮合刚度计算方法。同时介绍了多齿啮合时齿轮综合时变啮合刚度的计算方法。

The time - varying meshing stiffness of gear is the most important parameter in the dynamic equation of the gear systems, but now the most usually way of obtaining the parameter is the finite element methods and it＇ s very low efficiency. The Ishikawa formula is the analytical method which was used to calculate the time - varying meshing stiffness, it＇s high efficiency but it only considers the deformation of the tooth of the gear, what＇s more , some parameter which was referred in the Ishikawa formula don＇ t have a certain way to get now. Aiming at these problems, in this paper, the calculation method of the unclear parameters and an improved formula of the time - varying meshing stiffness are presented. Compared with the Ishikawa formula, the improved formula consider the deformation of the gear web plate and bring less high harmonic excitation. And this paper introduces the calculation principle of multi - tooth time - varying meshing stiffness. Key words