Abstract Mesh stiffness calculation is critically important for gear dynamic analysis, and many mesh stiffness models have been developed for its convenience and efficiency. However, for a long time, how to properly consider the influence of gear body flexibility and tooth profile error during modeling process has been a challenging problem. The existing mesh stiffness models may either ignore the coupling flexibility of the adjacent teeth or the influence of tooth profile error, which may result in a large calculation error. In order to solve this problem, a new mesh stiffness model is proposed in this paper, in which both the gear body coupling flexibility and the influence of tooth profile error have been considered. The proposed model is compared with the existing mesh stiffness models and validated by the finite element method (FEM).

中文翻译：

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具有耦合齿和体柔度效应的修正正齿轮的新啮合刚度模型

摘要 啮合刚度计算对于齿轮动力学分析至关重要，许多啮合刚度模型因其方便和高效而被开发。然而，长期以来，如何在建模过程中恰当地考虑齿轮体柔度和齿廓误差的影响一直是一个具有挑战性的问题。现有的啮合刚度模型要么忽略相邻齿的耦合柔性，要么忽略齿形误差的影响，导致计算误差较大。为了解决这个问题，本文提出了一种新的啮合刚度模型，该模型同时考虑了齿轮体耦合柔性和齿廓误差的影响。所提出的模型与现有的网格刚度模型进行了比较，并通过有限元方法 (FEM) 进行了验证。