Please use this identifier to cite or link to this item:
Title: Vibration analysis of arbitrarily shaped membranes using local radial basis function-based differential quadrature method
Authors: Wu, W.X.
Shu, C. 
Wang, C.M. 
Issue Date: 25-Sep-2007
Citation: Wu, W.X., Shu, C., Wang, C.M. (2007-09-25). Vibration analysis of arbitrarily shaped membranes using local radial basis function-based differential quadrature method. Journal of Sound and Vibration 306 (1-2) : 252-270. ScholarBank@NUS Repository.
Abstract: In this study, a recently developed local radial basis function-based differential quadrature (LRBFDQ) method is applied for the vibration analysis of arbitrarily shaped membranes. LRBFDQ method combines the good features of differential quadrature (DQ) approximation of derivatives and mesh-free nature of the radial basis functions (RBFs) in a local region. The derivative at a reference point is approximated as a linear weighted sum of functional values at a set of scattered points in the local supporting region of the reference point. The Helmholtz equation governing membrane vibration is directly discretized into algebraic equations, from which the wavenumbers (natural frequencies) and mode shapes of freely vibrating membranes are easily calculated. Owing to the properties of mesh-free and local approximation of the LRBFDQ method, the problems with arbitrarily shaped domains can be solved readily and accurately. In particular, for highly concave-shaped membranes and multi-connected membranes with a hole, very accurate numerical results can be easily obtained without the use of any domain decomposition technique. It is also shown that the LRBFDQ method can produce more accurate solutions than FEM when the two methods use nearly the same number of points in a domain. © 2007 Elsevier Ltd. All rights reserved.
Source Title: Journal of Sound and Vibration
ISSN: 0022460X
DOI: 10.1016/j.jsv.2007.05.015
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Mar 18, 2019


checked on Mar 11, 2019

Page view(s)

checked on Feb 2, 2019

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.