Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (6): 791-798.doi: https://doi.org/10.1007/s10483-014-1829-6

• 论文 • 上一篇    

Investigation of temperature effect on stress of flexspline

项青, 尹征南   

  1. Shanghai Institute of Applied Mathematics & Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China
  • 收稿日期:2013-11-16 修回日期:2014-01-04 出版日期:2014-06-01 发布日期:2014-06-01
  • 通讯作者: Zheng-nan YIN, Ph. D., E-mail: znyin@shu.edu.cn E-mail:znyin@shu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Nos. 10972128 and 11142004) and the Shanghai Leading Academic Discipline Project (No. S30106)

Investigation of temperature effect on stress of flexspline

Qing XIANG, Zheng-nan YIN   

  1. Shanghai Institute of Applied Mathematics & Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China
  • Received:2013-11-16 Revised:2014-01-04 Online:2014-06-01 Published:2014-06-01
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Nos. 10972128 and 11142004) and the Shanghai Leading Academic Discipline Project (No. S30106)

摘要: The effect of temperature loading on the stress of a flexspline is investigated. Based on the geometric and mechanical characteristics of the harmonic gear flexspline, a circular thin shell model is presented in this paper. The theoretical solution for the flexspline under different displacement loads and different temperature fields is derived. Meanwhile, an impact factor formula, which reflects the effect of the temperatures of the inner and outer surfaces of the flexspline on the stress of the flexspline, is presented. Finally, numerical calculations by the finite element method (FEM) are adopted to verify the corresponding conclusions.

关键词: vibration, equations, Frobenius senes, sphencal shell, cylin-drical shell, thermal stress, harmonic flexspline, thin shell, finite element method (FEM)

Abstract: The effect of temperature loading on the stress of a flexspline is investigated. Based on the geometric and mechanical characteristics of the harmonic gear flexspline, a circular thin shell model is presented in this paper. The theoretical solution for the flexspline under different displacement loads and different temperature fields is derived. Meanwhile, an impact factor formula, which reflects the effect of the temperatures of the inner and outer surfaces of the flexspline on the stress of the flexspline, is presented. Finally, numerical calculations by the finite element method (FEM) are adopted to verify the corresponding conclusions.

Key words: vibration, equations, Frobenius senes, sphencal shell, cylin-drical shell, thermal stress, harmonic flexspline, thin shell, finite element method (FEM)

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