http://scholars.ntou.edu.tw/handle/123456789/16800
標題: | On spurious eigenvalues of doubly-connected membrane | 作者: | I-Lin Chen Jeng-Tzong Chen Wei-Ming Lee |
關鍵字: | spurious eigenvalue;degenerate kernel;Fourier series;doubly connected problem;null-field integral equation | 公開日期: | 21-十二月-2007 | 出版社: | The 31st National Conference on Theoretical and Applied Mechanics | 會議論文: | The 31st National Conference on Theoretical and Applied Mechanics | 摘要: | Spurious eigensolutions in the boundary integral equation (BIE) or boundary element method (BEM) for the eccentric membrane are studied analytically and numerically in this paper. For the mathematical analysis, we use the null-field integral equation, the degenerate kernels and the Fourier series to prove the existence of spurious eigensolutions in the continuous system. Examples of eccentric case and general shape are solved by using the null-field equation approach and BEM, respectively. The spurious eigenvalue is found to be the true eigenvalue of a circular membrane with the inner radius. Also, the trivial outer boundary densities are found in case of spurious eigenvalues and are shown in the bar chart. |
描述: | December 21-22, 2007, ISU, Kaohsiung, Taiwan, R.O.C. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/16800 |
顯示於: | 河海工程學系 |
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