Please use this identifier to cite or link to this item: https://doi.org/10.1006/jsvi.2000.3330
Title: A mesh-free method for static and free vibration analyses of thin plates of complicated shape
Authors: Liu, G.R. 
Chen, X.L.
Issue Date: 12-Apr-2001
Citation: Liu, G.R., Chen, X.L. (2001-04-12). A mesh-free method for static and free vibration analyses of thin plates of complicated shape. Journal of Sound and Vibration 241 (5) : 839-855. ScholarBank@NUS Repository. https://doi.org/10.1006/jsvi.2000.3330
Abstract: A mesh-free method is presented to analyze the static deflection and the natural frequencies of thin plates of complicated shape. The present method uses moving least-squares (MLS) interpolation to construct shape functions based on a set of nodes arbitrarily distributed in the analysis domain. Discrete system equations are derived from the variational form of system equation. For static analysis, a penalty method is presented to enforce the essential boundary conditions. For frequency analysis of free vibration, the essential boundary conditions are represented through a weak form and imposed using orthogonal transformation techniques. The present EFG method together with techniques for imposing boundary conditions is coded in Fortran. Numerical examples are presented for rectangular, elliptical, polygonal and complicated plates to demonstrate the convergence and efficiency of the present method.
Source Title: Journal of Sound and Vibration
URI: http://scholarbank.nus.edu.sg/handle/10635/54346
ISSN: 0022460X
DOI: 10.1006/jsvi.2000.3330
Appears in Collections:Staff Publications

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

SCOPUSTM   
Citations

101
checked on Jul 17, 2018

WEB OF SCIENCETM
Citations

92
checked on Jun 27, 2018

Page view(s)

32
checked on May 12, 2018

Google ScholarTM

Check

Altmetric


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