Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/54351
Title: A Meshless Local Petrov-Galerkin (MLPG) formulation for static and free vibration analyses of thin plates
Authors: Gu, Y.T.
Liu, G.R. 
Keywords: Free Vibration
Kirchhoff plates
Meshless Local Petrov-Galerkin (MLPG) method
Meshless Method
Numerical Analysis
Issue Date: 2001
Source: Gu, Y.T.,Liu, G.R. (2001). A Meshless Local Petrov-Galerkin (MLPG) formulation for static and free vibration analyses of thin plates. CMES - Computer Modeling in Engineering and Sciences 2 (4) : 463-476. ScholarBank@NUS Repository.
Abstract: A meshless method for the analysis of Kirchhoff plates based on the Meshless Local Petrov-Galerkin (MLPG) concept is presented. A MLPG formulation is developed for static and free vibration analyses of thin plates. Local weak form is derived using the weighted residual method in local supported domains from the 4th order partial differential equation of Kirchhoff plates. The integration of the local weak form is performed in a regular-shaped local domain. The Moving Least Squares (MLS) approximation is used to constructed shape functions. The satisfaction of the high continuity requirements is easily met by MLS interpolant, which is based on a weight function with high continuity and a quadratic polynomial basis. The validity and efficiency of the present MLPG method are demonstrated through a number of examples of thin plates under various loads and boundary conditions. Some important parameters on the performance of the present method are investigated thoroughly in this paper. The present method is also compared with EFG method and Finite Element Method in terms of robustness and performance.
Source Title: CMES - Computer Modeling in Engineering and Sciences
URI: http://scholarbank.nus.edu.sg/handle/10635/54351
ISSN: 15261492
Appears in Collections:Staff Publications

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