http://scholars.ntou.edu.tw/handle/123456789/16854
標題: | Scattering of flexural wave in thin plate with multiple holes by using the null-field integral equation method | 作者: | Wei-Ming Lee Jeng-Tzong Chen Ching-Lun Chien Yung-Cheng Wang |
關鍵字: | scattering, flexural wave;dynamic moment concentration;biHelmholtz equation;null-field boundary integral equation;degenerate kernel;Fourier series | 公開日期: | 24-五月-2008 | 出版社: | 第十六屆中華民國振動與噪音工程學術研討會 | 會議論文: | 第十六屆中華民國振動與噪音工程學術研討會 | 摘要: | In this paper, a semi-analytical approach is proposed to solve the scattering problem of flexural waves and dynamic moment concentration factors in an infinite thin plate with multiple circular holes by using the null-field integral formulation in conjunction with degenerate kernels and Fourier series. In the proposed approach, all the kernels in the direct formulation are expanded into degenerate forms. By uniformly collocating points on the real boundary, a linear algebraic system is constructed. The scattering problem can be solved by decomposing it into two parts: incident wave field and radiation field. The radiation field is solved by using the proposed method and then the total field is obtained by adding it with the incident wave field. 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. The effect of distance between the centers of holes on dynamic moment concentration factors is also investigated by using the proposed method. |
描述: | 台北科技大學,中華民國九十七年五月二十四日 |
URI: | http://scholars.ntou.edu.tw/handle/123456789/16854 |
顯示於: | 河海工程學系 |
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