• 论文 •    

圆弧齿廓谐波齿轮侧隙及干涉检查仿真

陈晓霞,林树忠,邢静忠,刘玉生   

  1. 1.天津工业大学 现代机电装备技术天津市重点实验室,天津300160;2.浙江大学 CAD & CG国家重点实验室,浙江杭州310058
  • 出版日期:2011-03-25 发布日期:2011-03-25

Simulation on gear backlash and interference check of harmonic drive with circular-arc teeth profile

CHEN Xiao-xia, LIN Shu-zhong, XING Jing-zhong, LIU Yu-sheng   

  1. 1.Tianjin Municipal Key Lab of Modern Mechanical Equipment Technology, Tianjin Polytechnic University, Tianjin 300160,China;2.State Key Lab of CAD & CG, Zhejiang University, Hangzhou 310058, China
  • Online:2011-03-25 Published:2011-03-25

摘要: 为保证齿廓形状数学描述的唯一性、几何不变性和连续性,提出基于弧长坐标的圆弧齿廓表示方法,用分段函数表达公切线型双圆弧齿廓。建立了不同波发生器作用下圆弧齿廓谐波齿轮的装配模型,装配模型中柔轮的轮齿能够反映装配变形后柔轮的真实工作状态。利用坐标变换,通过求解啮合齿对间的相对位置进行啮合仿真,获得装配状态下啮合齿对间的侧隙分布,并依据侧隙进行干涉检查。实例研究表明,公切线型双圆弧齿廓谐波齿轮的啮合区间大,齿间侧隙分布均匀;但柔轮的最大径向变形量的变化对侧隙分布影响很大,甚至会引起齿廓干涉。

关键词: 圆弧齿廓, 谐波传动, 齿轮, 侧隙, 仿真, 干涉检查, 装配模型

Abstract: To ensure uniqueness, geometry invariability and continuity of tooth profile expression, a representation for circular-arc tooth profile based on arc length coordinate was proposed, and Heaviside function was used to present common tangent double circular-arc tooth profile. Assembly models of harmonic drive with circular-arc tooth profile were built under different wave generators. In these models, flexspline tooth could reflect the real working state of deformed flexspline. Using coordinate transformation, meshing simulation was executed by determining the relative position of engaged teeth profile. Then, gear backlash distribution of engaged teeth profile during assembly was obtained. And interference check was carried out according to the backlash. Experimental results showed that harmonic drive with double circular-arc tooth profile had wider meshing range and uniform backlash distribution. The change of maximum radial displacement of flexspline would lead to larger influence on backlash distribution, even cause teeth rofile interference.

Key words: circular-arc tooth profile, harmonic drive, gear, backlash, simulation, interference check, assemble model

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