Evaluating the time-varying mesh stiffness of a planetary gear set using the potential energy method
Evaluating the time-varying mesh stiffness of a planetary gear set using the potential energy method
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DOI：
10.1177/0954406213486734
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发表时间：
2014-02
期刊：
影响因子：
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通讯作者：
Xihui Liang;M. Zuo;T. Patel
中科院分区：
文献类型：
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作者：
Xihui Liang;M. Zuo;T. Patel
时变啮合刚度是由接触齿对数和轮齿接触位置的变化引起的周期函数。它是齿轮传动系统的主要振动源之一。一种有效的方法来评估时变啮合刚度是必要的，以全面了解行星齿轮传动的动态特性。根据文献，评估齿轮啮合刚度有两种方法，即有限元法和解析法。有限元方法是耗时的，因为需要对每个啮合齿轮副进行建模，以了解一系列齿轮副的啮合刚度。另一方面，解析法可以提供一个通用的方法来评估啮合刚度。在这项研究中，势能法被应用于评估时变啮合刚度的行星齿轮组。在不对轮齿渐开线曲线作任何修改的情况下，导出了解析方程。所建立的方程适用于行星齿轮组的任何传动结构。详细讨论了固定行星架、固定齿圈和固定太阳轮三种常用的传动结构。
Time-varying mesh stiffness is a periodic function caused by the change in the number of contact tooth pairs and the contact positions of the gear teeth. It is one of the main sources of vibration of a gear transmission system. An efficient and effective way to evaluate the time-varying mesh stiffness is essential to comprehensively understand the dynamic properties of a planetary gear set. According to the literature, there are two ways to evaluate the gear mesh stiffness, the finite element method and the analytical method. The finite element method is time-consuming because one needs to model every meshing gear pair in order to know the mesh stiffness of a range of gear pairs. On the other hand, analytical method can offer a general approach to evaluate the mesh stiffness. In this study, the potential energy method is applied to evaluate the time-varying mesh stiffness of a planetary gear set. Analytical equations are derived without any modification of the gear tooth involute curve. The developed equations are applicable to any transmission structure of a planetary gear set. Detailed discussions are given to three commonly used transmission structures: fixed carrier, fixed ring gear and fixed sun gear.