湖南大学学报（自然科学版）2026，Vol.53Issue(2)：98-108,11.DOI:10.16339/j.cnki.hdxbzkb.2026160
考虑齿面等接触应力的摆线齿廓分段修形
Segmental profile modification of cycloid tooth profile considering equal contact stress of tooth surface
摘要
Abstract
Based on the traditional"equidistant and displacement"modified cycloid pinwheel meshing pair contact analysis,a segmental modification method of the cycloid tooth profile was proposed,which considered the equal contact stress on the tooth surface.Initially,the working and non-working intervals were divided based on the minimum average pressure angle of the engaged tooth pairs.Subsequently,a polynomial fitting was used to fit the working interval modification function with the goal of equal contact stress of each tooth,a trigonometric function was used to fit the non-working interval modification function with the goal of reasonable top clearance,and a polynomial fitting was used to fit the transition interval modification function with the goal of a smooth transition of the tooth contour.Ultimately,the fitted modification functions were incorporated into the tooth profile equation in the form of equidistant modification amounts,resulting in the designed modified tooth profile curve.Theoretical calculations of post-modification contact stress and finite element simulation validation confirmed the method's accuracy.The theoretical calculation and simulation results show that,compared with the traditional modification method,this method can control the tooth profile shape more flexibly,so that the cycloid tooth profile has more rational clearances,more uniform contact stress distribution,smaller maximum contact stress,and higher contact ratio,providing a reference for cycloidal gear design.关键词
摆线轮/接触应力/齿廓修形/有限元分析Key words
cycloidal gear/contact stress/tooth profile modification/finite element analysis分类
机械制造引用本文复制引用
李俊阳,符忆,舒永东,杜鹏,雷源..考虑齿面等接触应力的摆线齿廓分段修形[J].湖南大学学报（自然科学版）,2026,53(2):98-108,11.基金项目
国家重点研发计划资助项目(2022YFB3404804),National Key Research and Development Program of China(2022YFB3404804) （2022YFB3404804）
国家自然科学基金资助项目(52375041),National Natural Science Foundation of China(52375041) （52375041）
航空科学基金资助项目(202000020Q9001),Aeronautical Science Foundation of China(202000020Q9001) （202000020Q9001）
中央高校基本科研业务费专项资金资助项目(2023CD JKYJH091,2023CDJXY-022),Fundamental Research Funds for the Central Universities(2023CDJKYJH091,2023CDJXY-022) （2023CD JKYJH091,2023CDJXY-022）
