弹性薄板弯曲问题的等价的边界积分方程

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Equivalent Boundary Integral Equations With Indirect Unknowns for Thin Elastic Plate Bending Theory

1.
Department of Mathematics and Physics, Shandong Institute of Engineering, Zibo, Shandong 255012, P R China;
2.
Department of Mechanics, Dalian University of Technology, Dalian 116023, P R China

摘要: 用非解析开拓数学方法建立平面弹性薄板弯曲问题理论中具有间接变量的等价边界积分方程,并采用变分法进行了严格的说明.以往出现的三种间接变量边界积分方程,它们都不是等价的,对此我们进行了深入的讨论.
- 薄板弯曲问题 /
- 边界元 /
- 等价的边界积分方程
Abstract: Equivalent Boundary Integral Equations(EBIE) with indirect unknowns for thin elastic plate bending theory,which is equivalent to the o riginal boundary value problem,is established rigoro usly by mathematical technique of non-analytic continuation and is fully proved by means of the variational principle.The previous three kinds of boundary integral equations with indirect unknown sare discussed thoroughly and it is shown that all previousre sultsare not EBIE.
- thin plate bending theory /
- bo undary element method /
- equiv alent boundary integral equations

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