Please use this identifier to cite or link to this item:
|Title:||A Meshless Local Petrov-Galerkin (MLPG) formulation for static and free vibration analyses of thin plates|
Meshless Local Petrov-Galerkin (MLPG) method
|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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Dec 8, 2017
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.