半圆形弹性薄板弯曲的功的互等定理法

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A Method Using the Reciprocal Theorem to Solve the Bending of Thin Elastic Semicircular Plates

摘要: 半圆形弹性薄板的弯曲问题,由于其边界条件的复杂性,给求解带来一定困难.本文应用功的互等定理,提出一种计算此板挠曲面方程的简便、通用的算法.
- 半圆形薄板 /
- 互等定理 /
- 挠曲面方程
Abstract: The bending of the thin elastic semicircular plates,because of its complicated boundary conditions,brings some difficulties for us to obtain its solution.This paper applies the reciprocal theorem to propose a general simple convenient method to obtain the transverse deflectional equations of the plates.
- thin semicircular plate /
- reciprocal theorem /
- deflectional equation

[1]	钱伟长、叶开沉,《弹性力学》,科学出版社(1956).
[2]	Timoshenko,S.and S.Woinowsky-Krieger,Theory of Plates and Shells,2nd Ed.(1959).
[3]	付宝连,应用功的互等定理求解具有复杂边界条件的矩形板的挠曲面方程,应用数学和力学,3(3)(1982).315-325.
[4]	李农、付宝连,应用功的互等定理计算弹性圆薄板挠曲面方程,应用数学和力学,9(9)(1988),835-842.