上海交通大学学报

上海交通大学学报 ›› 2020, Vol. 54 ›› Issue (2): 167-175.doi: 10.16183/j.cnki.jsjtu.2020.02.008

• 学报（中文） • 上一篇    下一篇

双圆弧谐波传动齿廓参数对柔轮应力影响

蒋倩倩1，王家序1,2，李俊阳1，肖科1，唐挺1，王成1   

  1. 1. 重庆大学 机械传动国家重点实验室， 重庆 400044； 2. 四川大学 空天科学与工程学院， 成都 610065
  • 发布日期:2020-03-06
  • 通讯作者: 李俊阳，男，副教授，电话(Tel.): 023-65105721；E-mail: lijunyang1982@sina.com.
  • 作者简介:蒋倩倩(1995-)，女，重庆市人，硕士生，从事谐波齿轮传动齿廓研究.
  • 基金资助:
    国家高技术研究发展计划（863计划）（2015AA043001）资助项目

Influence of Double Circular Arc Harmonic Transmission Profile Parameters on Flexspline Stress

JIANG Qianqian 1,WANG Jiaxu 1,2,LI Junyang 1,XIAO Ke 1,TANG Ting 1,WANG Cheng 1   

  1. 1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China; 2. School of Aeronautics and Astronautics, Sichuan University, Chengdu 610065, China
  • Published:2020-03-06

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摘要： 针对设计规范中未考虑齿廓参数对柔轮疲劳寿命影响的问题，采用包络法设计无公切线双圆弧共轭齿廓，进行多体接触有限元分析，并建立齿廓参数与柔轮应力的响应面模型，分析各齿廓参数对柔轮应力的影响规律.结果表明：由于刚轮与柔轮之间的啮合齿对会约束装入波发生器时产生的柔轮变形，所以柔轮应力对齿廓参数变化的敏感度较高；谐波传动为多齿啮合传动，单个接触齿对受载较小，载荷对柔轮应力影响较小；齿厚比和双圆弧倾角对柔轮应力的影响最大，齿顶高系数和齿根圆角半径的影响次之，齿根高系数的影响最小；柔轮应力随齿根半径和齿根高系数的增大先减小后增大，其余齿形参数与柔轮应力呈负相关.

关键词: 谐波齿轮传动； 双圆弧齿廓； 有限元法； 响应面模型； 齿廓参数

Abstract: In view of the influence of tooth profile parameters on the fatigue life of flexspline without considering the tooth profile parameters in the design specifications, the enveloping method is used to design the double tangent conjugate tooth profile without common tangent, and the multi-body contact finite element analysis is carried out. The response surface model of tooth profile parameter and flexspline stress is established, and the influence law of each tooth profile parameter on the flexspline stress is analyzed. The results show that the flexspline stress is more sensitive to the change of tooth profile parameters due to the deforming of the flexspline caused by the meshing teeth between the circular spline and the flexspline; the harmonic drive is more tooth meshing transmission, so the single contact tooth is less loaded and the load has less effect on the stress of the flexspline. The ratio of tooth thickness has the greatest effect on the flexspline stress. The teeth height coefficient and the root fillet radius have the second impact, and the dedendum high coefficient has the least impact. The flexspline stress decreases with the increase of root radius and root height coefficient and then increases, and the other factors are inversely proportional to the stress of the flexspline.

Key words: harmonic gear drive; double arc tooth profile; finite element method; response surface model; tooth profile parameter

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