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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24282

Title: Free Vibration Analysis of a Circular Plate with Multiple Circular Holes by Using the Multipole Trefftz Method
Authors: Wei-Ming Lee;Jeng-Tzong Chen
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: free vibration;plate;the multipole Trefftz method;addition theorem;SVD
Date: 2009
Issue Date: 2011-10-20T08:11:04Z
Publisher: CMES: Computer Modeling in Engineering & Sciences
Abstract: Abstract:This paper presents the multipole Trefftz method to derive an analytical model describing the free vibration of a circular plate with multiple circular holes. Based on the addition theorem, the solution of multipoles centered at each circle can be expressed in terms of multipoles centered at one circle, where boundary conditions are specified. In this way, a coupled infinite system of simultaneous linear algebraic equations is derived for the circular plate with multiple holes. The direct searching approach is employed in the truncated finite system to determine the natural frequencies by using the singular value decomposition (SVD). After determining the unknown coefficients of the multipole representation for the displacement field, the corresponding natural modes are determined. Some numerical eigensolutions are presented and further utilized to explain some physical phenomenon such as the dynamic stress concentration. No spurious eigensolutions are found in the proposed formulation. Excellent accuracy, fast rate of convergence and high computational efficiency are the main features of the present method thanks to the analytical procedure.
Relation: 50(2), pp.141-160
URI: http://ntour.ntou.edu.tw/handle/987654321/24282
Appears in Collections:[河海工程學系] 期刊論文

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