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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24368

Title: Rigid body mode and spurious mode in the dual boundary element formulation for the Laplace problems
Authors: J.T. Chen;W.C. Chen;S.R. Lin;I.L. Chen
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Dual boundary integral equations;Rigid body mode;Laplace problem;Fredholm alternative theorem;SVD
Date: 2003-05
Issue Date: 2011-10-20T08:11:49Z
Publisher: Computers & Structures
Abstract: Abstract:In this paper, the general formulation for the static stiffness is analytically derived using. the dual integral formulations. It is found that the same stiffness matrix is derived by using the integral equation no matter what the rigid body mode and the complementary solutions are superimposed in the fundamental solution. For the Laplace problem with a circular domain, the circulant was employed to derive the stiffness analytically. in the discrete system. In deriving the static stiffness, the degenerate scale problem occurs when the singular influence matrix can not be inverted. The Fredholm alternative theorem and the SVD updating technique are employed to study the degenerate scale problem mathematically and numerically. The direct treatment in the matrix level is achieved to deal with the. degenerate scale problems instead of using a modified fundamental solution. The addition of a rigid body term in the fundamental solution is found to shift the zero singular value for the singular matrix without disturbing the stiffness. (C) 2003 Elsevier Science Ltd. All rights reserved.
Relation: 81(13), PP.1395-1404
URI: http://ntour.ntou.edu.tw/handle/987654321/24368
Appears in Collections:[河海工程學系] 期刊論文

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