Investigation of temperature effect on stress of flexspline.pdf

Appl. Math. Mech. -Engl. Ed., 35(6), 791–798 (2014) Applied Mathematics DOI 10.1007/s10483-014-1829-6 and Mechanics c Shanghai University and Springer-Verlag Berlin Heidelberg 2014 (English Edition) Investigation of temperature effect on stress of flexspline∗ Qing XIANG ( ), Zheng-nan YIN () (Shanghai Institute of Applied Mathematics Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China) 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 thermal stress, harmonic flexspline, thin shell, finite element method (FEM) Chinese Library Classification O343.6 2010 Mathematics Subject Classification 74F05 1 Introduction Harmonic drive devices which consist of circular spline, flexible wheel, and wave generator are widely used in aerospace, robotics, radar systems, general machinery, and other fields. Although harmonic gears in engineering applications are getti