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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24345

Title: DETERMINATION OF SPURIOUS EIGENVALUES AND MULTIPLICITIES OF TRUE EIGENVALUES IN THE DUAL MULTIPLE RECIPROCITY METHOD USING THE SINGULAR-VALUE DECOMPOSITION TECHNIQUE
Authors: J.T. CHEN;C.X. HUANG;F.C. WONG
Contributors: NTOU:Department of Harbor and River Engineering
國立臺灣海洋大學:河海工程學系
Date: 2000-02-17
Issue Date: 2011-10-20T08:11:35Z
Publisher: Journal of Sound and Vibration
Abstract: abstract:The dual multiple reciprocity method (MRM) has been employed by the authors' group [3] to solve the acoustic modes of a cavity with or without a thin partition. In this paper, we propose the singular-value decomposition technique to filter our spurious eigenvalues and to determine the multiplicity of true eigenvalues by combining the dual equations in MRM. Also, the role of the dual MRM for problems with a degenerate boundary is examined. Four examples, including a square cavity with multiple eigenvalues, a rectangular cavity, a rectangular cavity with a zero thickness partition and a rectangular cavity with a partition with finite thickness, are presented to demonstrate the validity of the proposed method. Also, the analytical solution if available, the finite element method results obtained by Petyt et al. and by ABAQUS and experimental measurements are compared with those of the proposed method, and it is found that the agreement between them is very good.
Relation: 230(2), pp.203–219
URI: http://ntour.ntou.edu.tw/handle/987654321/24345
Appears in Collections:[河海工程學系] 期刊論文

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