几种典型齿轮时变啮合刚度计算方法对比

A Comparation of Several Typical Gear Mesh Stiffness Calculation Methods

啮合刚度是齿轮传动的重要动力学特性参数,当齿轮运行状态发生变化,如出现齿根裂纹时,这种变化会在时变啮合刚度中体现.准确地计算齿轮的时变啮合刚度对模拟齿轮系统的动力学特性意义重大.势能法、有限元法和石川法是计算齿轮时变啮合刚度的常用方法.以正常及含齿根裂纹的渐开线直齿圆柱齿轮为研究对象,对这3种方法的综合时变啮合刚度结果进行了对比分析,结果表明:有限元法计算速度慢,但更能够适用于多种复杂裂纹结构下的啮合刚度的计算,计算原理与实际工况更为吻合;势能法与石川法的计算速度快,对于简单裂纹或多级齿轮传动,可以优先采用势能法与石川法进行计算.

Gear mesh stiffness is an important dynamic characteristic parameter of gear transmission.When the running state of gear changes,such as the occurrence of tooth root crack,this change will be reflected in the time-varying mesh stiffness.Accurate calculation of the time-varying mesh stiffness of gear is of great significance to accurately simulate the dynamic characteristics of gear system.Potential energy method,the finite element method and Ishikawa method is a commonly used method.The time-varying meshing stiffness was calculated,that of gear based on the normal and tooth root crack of in volute spur gears as the research object,three methods of analysis were compared,the results show that the finite element method calculation speed is slow,but more able to apply to a variety of complex cracks under the structure of mesh stiffness calculation,calculation principle is more consistent with the actual working condition;The potential energy method and the Ishikawa method are fast to calculate.For simple crack or multistage gear transmission,the potential energy method and the Ishikawa method are preferred.