基于能量等效的直齿锥齿轮时变啮合刚度计算

陈思宇; 谭儒龙; 郭晓东; 张卫青; 舒锐志

doi:10.13224/j.cnki.jasp.20210095

基于能量等效的直齿锥齿轮时变啮合刚度计算

doi: 10.13224/j.cnki.jasp.20210095

重庆理工大学机械工程学院，重庆 400054

基金项目: 国家重点研发计划项目（2018YFB2001700）；国家自然科学基金资助项目（51805060，51905060）

详细信息

作者简介:
陈思宇（1996-），男，硕士，主要从事智能化与数字化制造方面的研究。E-mail：1605510003@qq.com

通讯作者:
谭儒龙（1987-），男，副教授，博士，研究方向为高性能机电传动技术及系统、齿轮传动。E-mail：rulong.tan@cqut.edu.cn

中图分类号: V232.8;TH132.41
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出版历程
- 收稿日期: 2021-03-05
- 刊出日期: 2022-02-28

Time-varying meshing stiffness calculation of straight bevel gears based on energy equivalence

School of Mechanical Engineering， Chongqing University of Technology，Chongqing 400054，China

摘要

摘要: 针对直齿圆锥齿轮啮合刚度的计算问题，从微元思想出发，将变截面齿廓划分为若干等截面微段齿段，基于能量等效建立微段齿段啮合刚度计算模型，并利用积分方法获得单齿啮合刚度。此外，基于力平衡和变形协调条件进一步提出了齿轮时变啮合刚度计算模型，同时根据几何关系导出了相应传动误差计算式。利用有限元分析对解析计算模型进行了验证，并分析了误差来源。结果表明：利用该模型不仅能够将直齿锥齿轮啮合刚度计算精度保证在2%以内，还达到了快速求解的目的。
- 直齿锥齿轮 /
- 单齿啮合刚度 /
- 能量等效 /
- 时变啮合刚度 /
- 变形协调
Abstract: As one of the most important dynamic excitation sources of gear system，gear time-varying meshing stiffness is a key parameter of gear system dynamics model. In view of the problem of calculating the meshing stiffness of straight bevel gears，the variable section tooth profile was divided into several micro-section tooth segments with equal section based on the idea of micro-element. The calculation model of meshing stiffness of micro-section tooth segments was established based on energy equivalent，and the single tooth meshing stiffness was obtained by using integral method. In addition，based on force balance and deformation coordination conditions，a computational model of gear time-varying meshing stiffness was proposed，and the corresponding formula of transmission error was derived according to geometric relations.The finite element analysis was used to verify the calculation method and analyze the error source. The results showed that the calculation accuracy of meshing stiffness of straight bevel gears can be guaranteed within 2% by using this model，and the purpose of quick solution can be achieved.
- straight bevel gear /
- single tooth mesh stiffness /
- energy equivalent /
- time-varying meshing stiffness /
- deformation coordination

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