有限长圆柱体轴对称问题的弹性理论解

侯宇; 何福保

有限长圆柱体轴对称问题的弹性理论解

侯宇¹,
何福保²

1.
中国计量学院杭州;
2.
上海工业大学

计量
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- 被引次数: 0
出版历程
- 收稿日期: 1990-10-11
- 刊出日期: 1991-10-15

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

摘要

摘要: 本文利用H变换和Stockes变换.导出双变量函数及其编导数在闭区间上完整的双级数表达式,从而求得弹性力学中有限长圆柱体的轴对称问题的一般解析解.文中以轴向拉伸圆柱体为例,考虑不同的外力作用区域,分析了圆柱体上位移和应力的分布.本文所提的方法具有一般性.可以用来求解其它学科领域中有关柱坐标的轴对称边值问题.
- 圆柱体 /
- 双变量函数 /
- 弹性理论解 /
- H变换 /
- Stockes变换
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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参考文献(19)

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