Nonsingular Kernel Boundary Element Method for Thin-Plate Bending Problems

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(8): 729-733

Wang Zuo-hui. Nonsingular Kernel Boundary Element Method for Thin-Plate Bending Problems[J]. Applied Mathematics and Mechanics, 1993, 14(8): 729-733.

Citation:

Wang Zuo-hui. Nonsingular Kernel Boundary Element Method for Thin-Plate Bending Problems[J]. Applied Mathematics and Mechanics, 1993, 14(8): 729-733.

Citation:

Wang Zuo-hui. Nonsingular Kernel Boundary Element Method for Thin-Plate Bending Problems[J]. Applied Mathematics and Mechanics, 1993, 14(8): 729-733.

Abstract

In this paper,the nonsingular fundamental solutions are obtained from Fourier series under some given conditions.These solutions can be taken as the kernels of integral equation.So a new boundary element method is presented,with which all kinds of thin-plate bending problems can be solved,even with complicated loadings and sinuous boundaries.The calculation is much simpler and more accurate.
- boundary integral equation,
- fundamental solutions

[1]	Brebbia,C.A.,et al.,Boundary Element Techniques,Springer-Verlag(1984).
[2]	王有成,Kirchhoff型板样条边界元,计算结构力学及其应用,3(1)(1986), 41-50.
[3]	Wang,Y.C.,et al.,SBEM with thin-plate analogue for shallow shells,Proc.of Int.Colloquium on Space Structures for Sport Buildings,Beijing,Oct.(1987).
[4]	唐立民、金吾根,边界元的基本问题和一个新途径,计算结构力学及其应用,3(3)(1986),7-12.
[5]	Zheng,X.P.and T.Q.Ye,P-version trefftz BEM for plate bending problems,Theory and Applications of BEM,Ed.by Q.H.Du and T.Masataka,International Academic Publishers(1991),315-323.
[6]	赵成刚等.关于加权残值法的充要性问题及其权函数的选择,力学学报,(3)(1991),332-338.
[7]	Selvaclurai,A.P.S.,Elastic Analysis of Soil-Foundation Interaction,Elsevier Scientific Publishing Company(1979).
[8]	Timoshenko,S.,et al.,Theory of Plates and Shells,McGraw-Hill(1959).
[9]	Wang,Y.C.,et al.,SBEM for plate bending problems,Boundary Elements,Pergmon Press(1986),427-438．