Applications of the direct Trefftz boundary element method to the free-vibration problem of a membrane.
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.
Department of System Engineering and Naval Architecture, National Taiwan Ocean University, Keelung, Republic of China. cjr@sena.ntou.edu.tw
Jiang Ren
JR
Chang
Ru Feng
RF
Liu
Weichung
W
Yeih
Shyh Rong
SR
Kuo