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	A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems
	Liu, Y ; Hon, YC ; Liew, KM
	2010-05-10 ; 2010-05-10
关键词	meshfree method radial basis function point interpolation Hermite Kirchhoff plate FREE-VIBRATION ANALYSES PARTIAL-DIFFERENTIAL EQUATIONS MESHLESS METHOD MULTIQUADRIC METHOD QUADRATURE METHOD CUBATURE METHOD MODEL SHAPE APPROXIMATION COLLOCATION Engineering, Multidisciplinary Mathematics, Interdisciplinary Applications
中文摘要	A meshfree computational method is proposed in this paper to solve Kirchhoff plate problems of various geometries. The deflection of the thin plate is approximated by using a Hermite-type radial basis function approximation technique. The standard Galerkin method is adopted to discretize the governing partial differential equations which were derived from using the Kirchhoff's plate theory. The degrees of freedom for the slopes are included in the approximation to make the proposed method effective in enforcing essential boundary conditions. Numerical examples with different geometric shapes and various boundary conditions are given to verify the efficiency, accuracy, and robustness of the method. Copyright (c) 2005 John Wiley & Sons, Ltd.
语种	英语 ; 英语
出版者	JOHN WILEY & SONS LTD ; CHICHESTER ; THE ATRIUM, SOUTHERN GATE, CHICHESTER PO19 8SQ, W SUSSEX, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/22559]
专题	清华大学
推荐引用方式 GB/T 7714	Liu, Y,Hon, YC,Liew, KM. A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems[J],2010, 2010.
APA	Liu, Y,Hon, YC,&Liew, KM.(2010).A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems..
MLA	Liu, Y,et al."A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems".(2010).

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