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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24386

Title: Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using real-part BEM
Authors: J. T. Chen;S. Y. Lin;K. H. Chen;I. L. Chen
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Real-part BEM;Plate vibration;Spurious eigenvalue;Circulant;Degenerate kernel;Fourier series;SVD updating technique
Date: 2004-08-01
Issue Date: 2011-10-20T08:12:01Z
Publisher: Computational Mechanics
Abstract: Abstract:In this paper, a real-part BEM for solving the eigenfrequencies of plates is proposed for saving half effort in computation instead of using the complex-valued BEM. By employing the real-part fundamental solution, the spurious eigenequations in conjunction with the true eigenequation are obtained for free vibration of plate. To verify this finding, the circulant is adopted to analytically derive the true and spurious eigenequations in the discrete system of a circular plate. In order to obtain the eigenvalues and boundary modes at the same time, the singular value decomposition (SVD) technique is utilized. For the continuous system, mathematical analysis for the spurious eigenequation was done by using the degenerate kernel and Fourier series. Good agreement of the analytical solutions (continuous and discrete systems) is made. Three cases, clamped, simply-supported and free circular plates, are demonstrated analytically and numerically to see the validity of the present method. SVD updating technique is adopted to suppress the ocurrence of the spurious eigenvalues, and a clamped plate is demonstrated analytically for the discrete system in this paper.
Relation: 34(3), pp.165-180
URI: http://ntour.ntou.edu.tw/handle/987654321/24386
Appears in Collections:[河海工程學系] 期刊論文

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