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.
Chang
Jiang Ren
JR
Department of System Engineering and Naval Architecture, National Taiwan Ocean University, Keelung, Republic of China. cjr@sena.ntou.edu.tw
Liu
Ru Feng
RF
Yeih
Weichung
W
Kuo
Shyh Rong
SR