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A refined analytical model for the mesh stiffness calculation of plastic gear pairs
Applied Mathematical Modelling ( IF 4.4 ) Pub Date : 2021-05-17 , DOI: 10.1016/j.apm.2021.04.032
Xu Zhiliang , Yu Wennian , Shao Yimin

The accurate calculation of the mesh stiffness for a plastic gear pair is significant for analyzing its transmission performance. During the meshing process, factors such as gear tooth meshing deformation and thermal effect will cause variations of the meshing position and tooth load particularly for plastic gears. These increase the difficulty for the accurate calculation of the gear mesh stiffness for plastic gear pair. To address this issue, the instantaneous gear tooth meshing deformation is obtained based on the potential energy method. Then, the effects of the above factors on the contact condition of a meshing tooth pair are analyzed, based on which the actual mesh position is accurately obtained via an iterative algorithm. Under the commonly-used elastic contact assumption, the contact stiffness at the new meshing position is calculated based on the Hertzian contact theory, and the algorithm of the mesh stiffness calculation for a plastic gear pair is derived by analyzing the influence of the elastic approach of meshing tooth on load distribution mechanism of gear pair. Compared with previous analytical methods, the proposed algorithm for mesh stiffness calculation shows higher accuracy, and it can also properly analyze the effect of load and other parameters on the mesh behavior of plastic gear pair, which can provide a theoretical basis for the performance analysis of plastic gear transmission system.



中文翻译:

塑料齿轮副啮合刚度计算的精细分析模型

塑料齿轮副啮合刚度的准确计算对于分析其传动性能具有重要意义。在啮合过程中,齿轮齿啮合变形和热效应等因素将导致啮合位置和齿负载的变化,特别是对于塑料齿轮。这增加了塑料齿轮副齿轮啮合刚度精确计算的难度。为了解决这个问题,基于势能法获得了瞬时齿轮啮合啮合变形。然后,分析上述因素对啮合齿副接触条件的影响,在此基础上通过迭代算法准确获得实际啮合位置。在常用的弹性接触假设下,基于赫兹接触理论计算新啮合位置处的接触刚度,通过分析啮合齿弹性方式对齿轮副载荷分配机制的影响,推导出塑料齿轮副啮合刚度计算算法. 与以往的分析方法相比,本文提出的啮合刚度计算算法具有更高的精度,并且能够正确分析载荷等参数对塑料齿轮副啮合行为的影响,为塑料齿轮副的性能分析提供理论依据。塑料齿轮传动系统。通过分析啮合齿弹性逼近对齿轮副载荷分配机制的影响,推导出塑料齿轮副啮合刚度计算算法。与以往的分析方法相比,本文提出的啮合刚度计算算法具有更高的精度,并且能够正确分析载荷等参数对塑料齿轮副啮合行为的影响,为塑料齿轮副的性能分析提供理论依据。塑料齿轮传动系统。通过分析啮合齿弹性逼近对齿轮副载荷分配机制的影响,推导出塑料齿轮副啮合刚度计算算法。与以往的分析方法相比,本文提出的啮合刚度计算算法具有更高的精度,并且能够正确分析载荷等参数对塑料齿轮副啮合行为的影响,为塑料齿轮副的性能分析提供理论依据。塑料齿轮传动系统。

更新日期:2021-05-30
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