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	Diagonalization procedure for scaled boundary finite element method in modeling semi-infinite reservoir with uniform cross-section
	Li, S. M.
	2010-10-12 ; 2010-10-12
关键词	dam-reservoir system SBFEM diagonalization procedure time domain frequency domain FLUID-STRUCTURE INTERACTION TIME-DOMAIN ANALYSIS UNBOUNDED-DOMAINS WAVE-PROPAGATION INFINITE RESERVOIR REPRESENTATION DAMS BEM FEM Engineering, Multidisciplinary Mathematics, Interdisciplinary Applications
中文摘要	To improve the ability of the scaled boundary finite element method (SBFEM) in the dynamic analysis of dam-reservoir interaction problems in the time domain, a diagonalization procedure was proposed, in which the SBFEM was used to model the reservoir with uniform cross-section. First, SBFEM formulations in the full matrix form in the frequency and time domains were Outlined to describe the semi-infinite reservoir. No sediments and the reservoir bottom absorption were considered. Second, a generalized eigenproblem consisting of coefficient matrices of the SBFEM was constructed and analyzed to obtain corresponding eigenvalues and eigenvectors. Finally, using these eigenvalues and eigenvectors to normalize the SBFEM formulations yielded diagonal SBFEM formulations. A diagonal dynamic stiffness matrix and a diagonal dynamic mass matrix were derived. An efficient method was presented to evaluate them. In this method, no Riccati equation and Lyapunov equations needed solving and no Schur decomposition was required, which resulted in great computational costs saving. The correctness and efficiency of the diagonalization procedure were verified by numerical examples in the frequency and time domains, but the diagonalization procedure is only applicable for the SBFEM formulation whose scaling center is located at infinity. Copyright (C) 2009 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/123456789/81728]
专题	清华大学
推荐引用方式 GB/T 7714	Li, S. M.. Diagonalization procedure for scaled boundary finite element method in modeling semi-infinite reservoir with uniform cross-section[J],2010, 2010.
APA	Li, S. M..(2010).Diagonalization procedure for scaled boundary finite element method in modeling semi-infinite reservoir with uniform cross-section..
MLA	Li, S. M.."Diagonalization procedure for scaled boundary finite element method in modeling semi-infinite reservoir with uniform cross-section".(2010).

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