微凸体对直齿轮接触特性及疲劳寿命影响分析  

Analysis of the Influence of Asperities on the Contact Characteristics and Fatigue Life of Spur Gears

作　　者：李智 吴胜利[1] 简晓春[1] 刘启坤 邢文婷 LI Zhi;WU Sheng-li;JIAN Xiao-chun;LIU Qi-kun;XING Wen-ting(College of Traffic and Transportation,Chongqing Jiaotong University,Chongqing 400074,China;College of Management Science and Engineering,Chongqing Technology and Business University,Chongqing 400067,China)

机构地区：[1]重庆交通大学交通运输学院,重庆400074 [2]重庆工商大学管理科学与工程学院,重庆400067

出　　处：《科学技术与工程》2021年第20期8435-8441,共7页Science Technology and Engineering

基　　金：国家自然科学基金(51705052);重庆自然科学基金(cstc2019jcyj-msxmX0779)。

摘　　要：齿轮在加载循环过程中,粗糙表面微凸体接触会在齿轮次表面形成应力集中,形成初始疲劳裂纹,降低齿轮使用寿命。为了进一步研究直齿轮表面微凸体曲率半径、高度对表面弹塑性接触特性的影响规律,利用Hertz接触理论和粗糙表面形貌的Greenwood-Williamson理论,建立了粗糙齿面单微凸体法向正接触模型、粗糙齿面弹塑性接触模型和不同粗糙度的粗糙界面接触有限元模型,并验证了模型的正确性。通过模型结果与有限元结果分析得,增大微凸体曲率半径会使接触应力有所降低,微凸体越高所受接触应力越大,且微凸体高度对接触应力的影响大于微凸体曲率半径造成影响。根据模型所得结果利用基于多轴疲劳机理的Smith-Watson-Topper方法预测了不同粗糙表面疲劳裂纹萌生所需的加载循环次数。研究结果进一步丰富了对粗糙表面接触疲劳机理的研究。During the gear loading cycle,the asperity contact on the rough surface of the gear form stress concentrations on its subsurface,leading to initial fatigue cracks and reducing the gear service life.In order to further study the law of the radius of curvature and height of the asperity on the surface of spur gears on the influence of surface elasto-plastic contact characteristics,the Hertz contact theory and the Greenwood-Williamson theory of rough surface topography were used to establish a single asperity normal contact model of rough tooth surface,a rough tooth surface elasto-plastic contact model and a rough interface contact finite element model with diffe-rent roughness.The models were validated and the correctness of the models was verified.From the model results and the finite element results,it is found that increasing the radius of curvature of the micro-convex body would reduce the contact stress.The higher the asperity is,the higher the contact stress is.Moreover,the effect of asperity height on the contact stress is greater than the effect of asperity radius of curvature.Based on the results obtained from the model,the Smith-Watson-Topper method based on the multi-axial fatigue mechanism was used to predict the number of loading cycles required for fatigue crack initiation on different rough surfaces.The results also further enrich the study of contact fatigue mechanisms on rough surfaces.

关 键 词：微凸体 微观齿面模型 接触应力 有限元模型 裂纹萌生 

分 类 号：TH132.4[机械工程—机械制造及自动化]