航空学报 > 2008, Vol. 30 Issue (6): 1680-1686

球齿轮传动齿廓接触特性分析

李婷,潘存云   

  1. 国防科技大学 机电工程与自动化学院
  • 收稿日期:2007-09-28 修回日期:2008-03-17 出版日期:2008-11-25 发布日期:2008-11-25
  • 通讯作者: 李婷

Research on Contact Characteristics of Spherical Gear Drives

Li Ting,Pan Cunyun   

  1. College of Mechatronics Engineering and Automation, National University of Defense Technology
  • Received:2007-09-28 Revised:2008-03-17 Online:2008-11-25 Published:2008-11-25
  • Contact: Li Ting

摘要: 对球齿轮齿廓进行了接触特性研究。在建立了球齿轮齿廓曲面方程和啮合模型基础上,利用计算机仿真的方法对其进行了齿面接触分析研究。针对球齿轮啮合传动时接触形式表现为轮齿凸面与马鞍面之间的点接触,对啮合齿面的接触椭圆进行了分析计算,确定了接触椭圆的方向和尺寸,得到了球齿轮机构在任一偏摆平面内啮合传动时接触椭圆的变化规律:在轮齿根部和顶部啮合时,接触椭圆较小,因而接触应力较大;而在轮齿中部啮合时,接触椭圆较大,所以接触应力较小。上述结论对进一步研究球齿轮的传动理论与实际应用具有重要的指导意义。

关键词: 球齿轮副, 环形渐开面, 接触分析, 点接触, 接触椭圆

Abstract: Contact characteristics of the tooth surfaces of spherical gears are investigated. After building the equations of tooth surfaces and the meshing model of a spherical gear pair, tooth contact analysis of spherical gear pairs is performed through simulation. The tooth contact form of meshing spherical gears is a point contact between convexity and saddle surfaces. The contact ellipses of the meshing tooth surfaces are studied, and the orientations and dimensions of contact ellipses are obtained. Then the movement rule of contact ellipses is gained for spherical gear pairs which mesh in any plane that passes through their polar axes: the contact ellipse is relatively small on tooth base and tooth tip, so then the contact stress is large; the contact ellipse is relatively large on tooth middle part, so then the contact stress is small. The above conclusions are useful to further investigations in transmission theory and practical application of spherical gear pairs.

Key words: spherical gear pair, ring-involute tooth surface, contact analysis, point contact, contact ellipse

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