AN ELASTICITY SOLUTION FOR AXISYMMETRIC PROBLEM OF FINITE CIRCULAR CYLINDER

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (10): 967-976.

AN ELASTICITY SOLUTION FOR AXISYMMETRIC PROBLEM OF FINITE CIRCULAR CYLINDER

侯宇¹, 何福保²

1. China Institute of Metrology, Hangzhou;
2. Shanghai University of Technology, Shanghai

收稿日期:1990-10-11 出版日期:1991-10-18 发布日期:1991-10-18

AN ELASTICITY SOLUTION FOR AXISYMMETRIC PROBLEM OF FINITE CIRCULAR CYLINDER

Hou Yu¹, He Fu-bao²

1. China Institute of Metrology, Hangzhou;
2. Shanghai University of Technology, Shanghai

Received:1990-10-11 Online:1991-10-18 Published:1991-10-18

摘要/Abstract

摘要： In this paper the complete double-series in the closed region expressing the double-variable functions and their partial derivatives are derived by the H-transforniution and Stockes transformation. Using the double-series, a series solution for the axisyinmetric boundary value problem of the elastic circular cylinder with finite length is presented.In a numerical example, the cylinder subjected to the axisymmetric traellens with various loaded regions is investigated and the distributions of the displacement sand stresses are obtained.It is possible to solve the axisymmetric boundary value problems in the eylinderical coordinates for other scientific fields by use of the method presented in this paper.

关键词: circular cylinder, function of double-variables, elasticity solution, H-transformation, Stockes’ transformation

Abstract: In this paper the complete double-series in the closed region expressing the double-variable functions and their partial derivatives are derived by the H-transforniution and Stockes transformation. Using the double-series, a series solution for the axisyinmetric boundary value problem of the elastic circular cylinder with finite length is presented.In a numerical example, the cylinder subjected to the axisymmetric traellens with various loaded regions is investigated and the distributions of the displacement sand stresses are obtained.It is possible to solve the axisymmetric boundary value problems in the eylinderical coordinates for other scientific fields by use of the method presented in this paper.

Key words: circular cylinder, function of double-variables, elasticity solution, H-transformation, Stockes’ transformation

侯宇;何福保. AN ELASTICITY SOLUTION FOR AXISYMMETRIC PROBLEM OF FINITE CIRCULAR CYLINDER[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(10): 967-976.

Hou Yu;He Fu-bao. AN ELASTICITY SOLUTION FOR AXISYMMETRIC PROBLEM OF FINITE CIRCULAR CYLINDER[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(10): 967-976.

参考文献

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AN ELASTICITY SOLUTION FOR AXISYMMETRIC PROBLEM OF FINITE CIRCULAR CYLINDER

AN ELASTICITY SOLUTION FOR AXISYMMETRIC PROBLEM OF FINITE CIRCULAR CYLINDER

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