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

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. 2003 Elsevier B.V. All rights reserved.

authors

• Reddy, Junuthula

published proceedings

• FINITE ELEMENTS IN ANALYSIS AND DESIGN

author list (cited authors)

• Liew, K. M., Huang, Y. Q., & Reddy, J. N.

citation count

• 40

complete list of authors

• Liew, KM||Huang, YQ||Reddy, JN

publication date

• July 2004

publisher

• Elsevier  Publisher

published in

• Finite Elements in Analysis and Design  Journal

keywords

• Differential Quadrature Method
• Mesh-free Method
• Meshless Method
• Moving Least-squares Approximation
• Numerical Method
• Plates

Digital Object Identifier (DOI)

• 10.1016/j.finel.2003.10.002

start page

• 1453

end page

• 1474

volume

• 40

issue

• 11

URL

• http://dx.doi.org/10.1016/j.finel.2003.10.002