Abstract Time-varying mesh stiffness and gear transmission errors are the major excitations to gear dynamics system. How to calculate them more accurately and efficiently has attracted much attention worldwide for a long period. Especially consideration of the gear body structure coupling effect and the tooth profile error will make interactions between the tooth pairs in mesh more complicated so that traditional analytical methods could not applicable any more. In this paper, a comprehensive and general analytical gear mesh model is proposed by considering all the deformations including the teeth deformation, teeth contact deformation, fillet-foundation deformation, and gear body structure coupling effect, as well as tooth profile deviations. The calculation formulas for the mesh stiffness, load sharing ratio and static transmission error are derived, and the corresponding efficient solving method is also proposed. Based on the proposed model, the influencing mechanism of the gear body structure coupling effect on the total mesh stiffness is revealed. The proposed mesh stiffness calculation model is proven to be more general and comprehensive since the traditional analytical models are the special cases of the proposed model.

中文翻译：

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带齿廓偏差的正齿轮啮合激励的改进解析计算模型

摘要 时变啮合刚度和齿轮传动误差是齿轮动力学系统的主要激励因素。如何更准确、更高效地计算它们，长期以来在世界范围内备受关注。特别是考虑到齿轮体结构耦合效应和齿廓误差，会使啮合中齿副之间的相互作用更加复杂，传统的分析方法已不再适用。本文综合考虑齿形变形、齿面接触变形、圆角-基础变形、齿体结构耦合效应以及齿廓偏差等所有变形，提出了一种综合通用的解析齿轮啮合模型。网格刚度的计算公式为 推导了负荷分配比和静态传输误差，并提出了相应的高效求解方法。基于所提出的模型，揭示了齿轮体结构耦合效应对总啮合刚度的影响机制。由于传统的分析模型是所提出模型的特例，因此所提出的网格刚度计算模型被证明更加通用和全面。