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Applications of the direct Trefftz boundary element method to the free-vibration problem of a membrane
Jiang Ren Chang1, Ru Feng Liu, Weichung Yeih
1Department of System Engineering and Naval Architecture, National Taiwan Ocean University, Keelung, Republic of China. cjr@sena.ntou.edu.tw
The Journal of the Acoustical Society of America
|August 21, 2002
Abstract:
In this paper, the direct Trefftz method is applied to solve the free-vibration problem of a membrane. In the direct Trefftz method, there exists no spurious eigenvalue. However, an ill-posed nature of numerical instability encountered in the direct Trefftz method requires some treatments. The Tikhonov's regularization method and generalized singular-value decomposition method are used to deal with such an ill-posed problem. Numerical results show the validity of the current approach.