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Moving least squares differential quadrature method and its application to the analysis of shear deformable plates
Author(s) -
Liew K. M.,
Huang Y. Q.,
Reddy J. N.
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.646
Subject(s) - computation , mathematics , quadrature (astronomy) , weighting , nyström method , numerical analysis , mathematical analysis , least squares function approximation , deflection (physics) , algorithm , boundary value problem , classical mechanics , physics , statistics , estimator , acoustics , optics
A moving least squares differential quadrature (MLSDQ) method is developed and employed for the analysis of moderately thick plates based on the first‐order shear deformation theory (FSDT). To carry out the analysis, the governing equations in terms of the generalized displacements (transverse deflection and two rotations) of the plate are formulated by employing the moving least squares approximation. The weighting coefficients used in the MLSDQ approximation are computed through a fast computation of shape functions and their derivatives. Numerical examples illustrating the accuracy, stability and convergence of the MLSDQ method are presented. Effects of support size, order of completeness and node irregularity on the numerical accuracy are investigated. Copyright © 2003 John Wiley & Sons, Ltd.