A Meshless Hybrid Boundary Node Method for Kirchhoff Plate Bending Problems

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	A Meshless Hybrid Boundary Node Method for Kirchhoff Plate Bending Problems
	Tan, F.1; Zhang, Y. L.1; Wang, Y. H.2; Miao, Y.2
刊名	CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
	2011
卷号	75 期号:1 页码:1-31
关键词	Meshless method Hybrid boundary node method Dual reciprocity method Plate bending Kirchhoff Plate
ISSN号	1526-1492
英文摘要	The meshless hybrid boundary node method (HBNM) for solving the bending problem of the Kirchhoff thin plate is presented and discussed in the present paper. In this method, the solution is divided into two parts, i.e. the complementary solution and the particular solution. The particular solution is approximated by the radial basis function (RBF) via dual reciprocity method (DRM), while the complementary one is solved by means of HBNM. The discrete equations of HBNM are obtained from a variational principle using a modified hybrid functional, in which the independent variables are the generalized displacements and generalized tractions on the boundary and the lateral deflection in the domain. The moving least squares (MLS) method is employed to approximate the boundary variables whereas the domain variables are interpolated by a linear combination of fundamental solutions of both the biharmonic equation and Laplace's equation. The present method is a truly boundary type meshless one as it does not require the 'boundary element mesh', either for the purpose of interpolation of the variables or for the integration of 'energy'. Several numerical examples are presented to illustrate the implementation and performance of the present method. It is shown that high accuracy can he achieved with a small node number for clamped and simply supported edge conditions.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	TECH SCIENCE PRESS
WOS记录号	WOS:000295151900001
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3287]
专题	岩土力学所知识全产出_期刊论文国家重点实验室知识产出_期刊论文
作者单位	1.Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech ; 2.Huazhong Univ Sci & Technol, Sch Civil Engn & Mech
推荐引用方式 GB/T 7714	Tan, F.,Zhang, Y. L.,Wang, Y. H.,et al. A Meshless Hybrid Boundary Node Method for Kirchhoff Plate Bending Problems[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2011,75(1):1-31.
APA	Tan, F.,Zhang, Y. L.,Wang, Y. H.,&Miao, Y..(2011).A Meshless Hybrid Boundary Node Method for Kirchhoff Plate Bending Problems.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,75(1),1-31.
MLA	Tan, F.,et al."A Meshless Hybrid Boundary Node Method for Kirchhoff Plate Bending Problems".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 75.1(2011):1-31.