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

Authors:
K. M. Liew;Y. Q. Huang;J. N. Reddy
Affiliations:
Nanyang Center for Supercomputing and Visualization, Nanyang Technological University, Singapore 639798 and School of Mechanical and Production Engineering, Nanyang Technological University, Singa ...;Nanyang Center for Supercomputing and Visualization, Nanyang Technological University, Singapore;Advanced Computational Mechanics Lab, Department of Mechanical Engineering, Texas A&M University, College Station, TX
Venue:
Finite Elements in Analysis and Design
Year:
2004

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Abstract

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.