考虑中心距变化的齿轮接触应力计算方法  

Calculation method of contact pressure in gears considering the variation of center distance

作　　者：汪红兵 冯世成 尹来容[1] 胡波 WANG Hongbing;FENG Shicheng;YIN Lairong;HU Bo(College of Automotive and Mechanical Engineering,Changsha University of Science and Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学汽车与机械工程学院,湖南长沙410114

出　　处：《中南大学学报（自然科学版）》2024年第7期2552-2566,共15页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(52205049,52375038,52175003);湖南省自然科学基金资助项目(2023JJ50077);湖南省教育厅优秀青年项目(22B0348);湖南省研究生科研创新项目(CX20220905)。

摘　　要：齿轮制造/安装误差和轴承径向间隙导致齿轮中心距变化,改变齿面的接触特征,影响齿面的磨损和疲劳寿命。本文基于考虑制造/安装误差和轴承径向间隙影响的2种齿轮中心距模型,结合赫兹接触理论和齿轮啮合原理,建立了考虑中心距变化的齿面接触应力计算模型,并通过将该模型所得结果与有限元接触模型结果对比,验证所提出模型的准确性。此外,进一步研究了齿轮中心距变化对齿面接触应力的影响。研究结果表明:随着实际中心距的增大,本文模型结果与有限元模型结果的误差减小。随着齿轮中心距的增大,单齿对啮合区沿啮合线方向左移,齿面接触应力减小,但齿轮重合度也减小。因此,合理控制齿轮中心距变化对齿面接触性能的提升具有重要意义。Manufacturing/installation errors of gear and bearing radial clearance lead to the variation of the center distance in gears,which changes the contact characteristics of tooth surfaces,and affects the wear and the fatigue life of tooth surfaces.In this paper,based on the gear center distance models considering manufacturing/installation errors and bearing radial clearance,combined with the Hertzian contact theory and gear meshing principle,a tooth contact pressure calculation model considering the variation of center distance was established,and the accuracy of the proposed model was verified by comparing its results with the results of the finite element contact model.In addition,the effect of the gear center distance change on the tooth contact pressure was further investigated.The results show that with the increase of the actual center distance,the error between the results of the proposed model and the results of the finite element model decreases.As the actual center distance increases,the error between the proposed model results and the finite element model results decreases.As the gear center distance increases,the tooth contact pressure decreases,but the contact ratio also decreases,and the single-tooth contact area decreases and shifts to the left along the direction of the line of action.Therefore,the reasonable control of the change of gear center distance is of great significance to the improvement of tooth surface contact performance.

关 键 词：齿轮中心距 接触应力 制造/安装误差 轴承径向间隙 

分 类 号：TH132.413[机械工程—机械制造及自动化]