半圆形弹性薄板弯曲的功的互等定理法
A Method Using the Reciprocal Theorem to Solve the Bending of Thin Elastic Semicircular Plates
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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.
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Key words:
- thin semicircular plate /
- reciprocal theorem /
- deflectional equation
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[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. -
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