Analysis of general shaped thin plates by the moving least-squares differential quadrature method

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Original languageEnglish
Pages (from-to)1453-1474
Journal / PublicationFinite Elements in Analysis and Design
Issue number11
Publication statusPublished - Jul 2004
Externally publishedYes


The mesh-free moving least-squares differential quadrature (MLSDQ) method is proposed for solving the fourth-order, partial differential equation governing the bending of thin plates according to classical plate theory. The deflections of an arbitrary shaped plate are expressed in terms of the MLS approximation. The weighting coefficients used in the MLSDQ approximation are calculated through a fast computation of the shape functions and their derivatives. The discrete multiple boundary conditions and governing equations are solved by a least-squares approximation. Numerical examples are presented to illustrate the accuracy, stability and convergence of the present method. Effects of support size, order of completeness and node irregularity on the numerical accuracy are carefully investigated. © 2003 Elsevier B.V. All rights reserved.

Research Area(s)

  • Differential quadrature method, Mesh-free method, Meshless method, Moving least-squares approximation, Numerical method, Plates