渐开线谐波齿轮的空间齿廓设计及啮合特性分析  

Spatial tooth profile design and engagement analysis of harmonic gear with involute profile

作　　者：刘邓辉 邢静忠[1,2] 陈晓霞[1] 

机构地区：[1]天津工业大学机械工程学院,天津300387 [2]天津市机电装备技术重点实验室,天津300387

出　　处：《机械设计》2016年第3期24-29,共6页Journal of Machine Design

基　　金：浙江大学CAD&CG国家重点实验室开放课题资助项目(A1515);天津市应用基础及前言技术计划资助项目(14JCYBJC19200);国家自然科学基金资助项目(51575390)

摘　　要：考虑杯形柔轮在波发生器作用下的锥度变形特征,设计刚轮空间齿廓可有效降低齿间侧隙,提高谐波齿轮的啮合性能。在垂直于轴线的多个横截面内,将刚轮空间齿廓设计转化为由多个平面齿廓放样算法表达的空间曲面设计。在各横截面利用精确算法的共轭方程求解获得共轭齿廓离散点,基于渐开线齿廓特征对各截面内的共轭齿廓离散点拟合得到相应的变位系数。利用基于精确算法的变形后柔轮轮齿位置定位方法设计了相应的侧隙计算方法,获得空间齿廓在不同截面内的侧隙分布。为验证由多个截面内齿廓放样获得的空间齿廓的啮合性能,采用Solid Works建立刚轮和柔轮的空间齿廓装配模型,并进行干涉检查和侧隙结果验证。实例验证表明:相比平面齿廓,空间齿廓能增大啮合区间和齿廓接触面积,更多的啮合齿对保证了空间齿廓谐波齿轮具有更高的承载能力和更长的疲劳寿命。The taper deformation of the cup-shaped flexspline was produced by cam wave generator. In order to improve meshing performance and reduce gear backlash, the spatial tooth profile of circular spline was presented. In the multi cross sections perpendicular to the axis, the spatial tooth profile of circular spline was constructed with a series plane tooth profile of space curved surface using lofter modeling. The conjugate tooth profile discrete points were obtained using precision algorithm adjoint equation in every cross section. The relative backlash calculation method was designed to obtain the backlash distribution of spatial tooth profile in the different sections. An assembly model of a circular spline and a flexspline with spatial tooth profile was established in Solid Work platform to check the interference and backlash results, which provided the backlash of spatial tooth profile to assess the engagement performance. The experiment verification revealed that the spatial tooth profile can increase the meshing domain and contact area compared with plane tooth profile. The improved loading capacity and fatigue life of harmonic drive could be obtained by more engaged teeth pairs.

关 键 词：谐波齿轮 渐开线齿形 空间齿廓 干涉 三维模型 

分 类 号：TH132.41[机械工程—机械制造及自动化]