Applications of the direct Trefftz boundary element method to the free-vibration problem of a membrane

Jiang Ren Chang; Ru Feng Liu; Weichung Yeih; Shyh Rong Kuo

doi:10.1121/1.1494992

Applications of the direct Trefftz boundary element method to the free-vibration problem of a membrane

J Acoust Soc Am. 2002 Aug;112(2):518-27. doi: 10.1121/1.1494992.

Authors

Jiang Ren Chang¹, Ru Feng Liu, Weichung Yeih, Shyh Rong Kuo

Affiliation

¹ Department of System Engineering and Naval Architecture, National Taiwan Ocean University, Keelung, Republic of China. cjr@sena.ntou.edu.tw

PMID: 12186033
DOI: 10.1121/1.1494992

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.