谐波齿轮传动双圆弧齿形双向共轭设计方法  

Bidirectional Conjugate Design Method for Double-Circular-Arc Tooth Profile of Harmonic Drives

作　　者：姜歌东[1,2,3] 王爽[1,3] 梅雪松 张弦[1,3] 张豪[1,3] JIANG Gedong;WANG Shuang;MEI Xuesong;ZHANG Xian;ZHANG Hao(Shaanxi Key Laboratory of Intelligent Robots, Xi’an Jiaotong University, Xi’an 710049, China;State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, China;School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

机构地区：[1]西安交通大学陕西省智能机器人重点实验室,西安710049 [2]西安交通大学机械制造系统工程国家重点实验室,西安710049 [3]西安交通大学机械工程学院,西安710049

出　　处：《西安交通大学学报》2019年第8期8-14,共7页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(51675407);陕西省科技统筹创新工程计划资助项目(2015KTZDGY-02-01)

摘　　要：针对目前广泛采用的双圆弧齿形单向共轭设计方法存在的刚轮凸圆弧段共轭齿廓不确定问题,提出了一种基于柔轮和刚轮齿形联合共轭计算的双圆弧齿形双向共轭设计方法。该方法通过预设柔轮凸圆弧参数来进行共轭计算和拟合得到刚轮的双圆弧齿廓;增加了刚轮凸圆弧齿廓反向共轭计算得到柔轮凹圆弧齿廓的计算过程;将柔轮的拟合凹圆弧和预设凸圆弧相结合得到柔轮整体齿形;保证了刚轮凸圆弧段与柔轮两段圆弧均能共轭啮合。双圆弧齿形的啮合侧隙分析与有限元接触分析结果表明:与单向共轭法的设计结果相比,双向共轭法所设计的双圆弧齿形在整个齿廓段都能参与啮合,存在多点啮合现象,具有更大的齿廓接触面积和更小的齿面接触应力,提升了谐波齿轮传动的啮合性能。A novel bidirectional conjugate design method is proposed to solve the uncertain problem of the conjugated convex circular-arc tooth profile of circular spline existing in the widely used unidirectional conjugate design method of double-circular-arc tooth profile. The proposed method is based on the combined conjugate calculation of the tooth profiles of flexspline and circular spline. The double-circular-arc tooth profile of a circular spline is obtained through conjugate calculation and fitting via presetting parameters of the convex circular arc of the flexspline. The concave circular arc of the flexspline is obtained through a reverse conjugate calculation of the convex circular arc profile of the circular spline. The whole tooth profile of the flexspline is obtained by combining the fitted concave arc with the preset convex arc of the flexspline. The method ensures that the convex arc of the circular spline is conjugated with both arcs of the flexspline. Meshing backlash analysis and finite element contact analysis of a double-circular-arc tooth profile are carried out. Results and a comparison with the unidirectional conjugate method show that the tooth profile designed by the bidirectional conjugate method is able to engage on whole tooth profile, has multi-point meshing property, and possesses larger tooth contact area and smaller contact stress on the tooth surface. It is concluded that the proposed method improves the meshing performance of harmonic drives.

关 键 词：谐波齿轮 双圆弧齿形 侧隙分析 有限元接触分析 

分 类 号：TH132.2[机械工程—机械制造及自动化]