An Elasticity Solution for Axisymmetric Problem of Finite Circular Cylinder

Hou Yu; He Fu-bao

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(10): 903-912

Hou Yu, He Fu-bao. An Elasticity Solution for Axisymmetric Problem of Finite Circular Cylinder[J]. Applied Mathematics and Mechanics, 1991, 12(10): 903-912.

Citation:

Hou Yu, He Fu-bao. An Elasticity Solution for Axisymmetric Problem of Finite Circular Cylinder[J]. Applied Mathematics and Mechanics, 1991, 12(10): 903-912.

Citation:

Hou Yu, He Fu-bao. An Elasticity Solution for Axisymmetric Problem of Finite Circular Cylinder[J]. Applied Mathematics and Mechanics, 1991, 12(10): 903-912.

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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 Date: 1990-10-11
Publish Date: 1991-10-15

Abstract

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.
- circular cylinder,
- function of double-variables,
- elasticity solution,
- H-transformation,
- Stockes’ transformation

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References(19)

References

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