|Title:||On spurious eigenvalues of doubly-connected membrane||Authors:||I-Lin Chen
|Keywords:||spurious eigenvalue;degenerate kernel;Fourier series;doubly connected problem;null-field integral equation||Issue Date:||21-Dec-2007||Publisher:||The 31st National Conference on Theoretical and Applied Mechanics||Conference:||The 31st National Conference on Theoretical and Applied Mechanics||Abstract:||
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.
December 21-22, 2007, ISU, Kaohsiung, Taiwan, R.O.C.
|Appears in Collections:||河海工程學系|
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