Improved analytical calculation model of spur gear mesh excitations with tooth profile deviations
Improved analytical calculation model of spur gear mesh excitations with tooth profile deviations
复制标题
改进的带齿形偏差的直齿轮啮合激励解析计算模型
DOI：
10.1016/j.mechmachtheory.2020.103838
复制
发表时间：
2020-07-01
影响因子：
5.2
通讯作者：
Wang, Kaiyun
中科院分区：
文献类型：
--
作者：
Chen, Zaigang;Zhou, Ziwei;Wang, Kaiyun
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。长期以来，如何更准确、更高效地计算它们一直是世界各国关注的问题。特别是考虑齿轮体结构耦合效应和齿形误差，使啮合中齿对之间的相互作用变得更加复杂，传统的分析方法已不能适用。本文综合考虑齿面变形、齿面接触变形、圆角-基础变形、齿体结构耦合效应以及齿形偏差等所有变形，提出了一种全面通用的分析齿轮啮合模型。推导了啮合刚度、载荷分担比和静传动误差的计算公式，并提出了相应的高效求解方法。在此基础上，揭示了齿轮体结构耦合效应对总啮合刚度的影响机理。由于传统的分析模型都是本文模型的特例，因此本文所提出的网格刚度计算模型具有较强的通用性和综合性。(C) 2020 Elsevier Ltd.版权所有。
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. (C) 2020 Elsevier Ltd. All rights reserved.