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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24569

Title: Scattering of flexural wave in thin plate with multiple holes by using the null-field integral equation approach
Authors: Wei-Ming Lee;Jeng-Tzong Chen
Contributors: NTOU:Department of Harbor and River Engineering
國立臺灣海洋大學:河海工程學系
Keywords: scattering;flexural wave;dynamic moment concentration;biHelmholtz equation;null-field boundary integral equation;degenerate kernel;Fourier series
Date: 2008
Issue Date: 2011-10-20T08:12:47Z
Publisher: Computer Modeling in Engineering & Sciences
Abstract: abstract:In this paper, a semi-analytical approach is proposed to solve the scattering problem of flexural waves and to determine dynamic moment concentration factors (DMCFs) in an infinite thin plate with multiple circular holes. The null-field integral formulation is employed in conjunction with degenerate kernels, tensor transformation and Fourier series. In the proposed direct formulation, all dynamic kernels of plate are expanded into degenerate forms and further the rotated degenerate kernels have been derived for the general exterior problem. By uniformly collocating points on the real boundary, a linear algebraic system is constructed. The results of dynamic moment concentration factors for the plate with one hole are compared with the analytical solution to verify the validity of the proposed method. For the cases of small wave number, the quasi-static results of a plate with one or multiple circular holes are compared with the static data of finite element method (FEM) using ABAQUS. Numerical results indicate that the DMCF of two holes is apparently larger than that of one hole when two holes are close to each other. Fictitious frequency appeared in the external problem can be suppressed by using the more number of Fourier series terms. The effect of distance between the centers of holes on dynamic moment concentration factors is also investigated by using the proposed method.
Relation: 37(3), pp.243-273
URI: http://ntour.ntou.edu.tw/handle/987654321/24569
Appears in Collections:[河海工程學系] 期刊論文

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