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

K. M. Liew; Y. Q. Huang; J. N. Reddy

doi:10.1016/j.finel.2003.10.002

Author(s)

K. M. Liew
Y. Q. Huang
J. N. Reddy

Detail(s)

Original language	English
Pages (from-to)	1453-1474
Journal / Publication	Finite Elements in Analysis and Design
Volume	40
Issue number	11
Publication status	Published - Jul 2004
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/j.finel.2003.10.002 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-2442543064&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(be689cf9-fca3-445b-a638-dfd311c7b879).html

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.

Research Area(s)

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

Citation Format(s)

[ RIS ] [ BibTeX ]

Analysis of general shaped thin plates by the moving least-squares differential quadrature method. / Liew, K. M.; Huang, Y. Q.; Reddy, J. N.
In: Finite Elements in Analysis and Design, Vol. 40, No. 11, 07.2004, p. 1453-1474.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Liew, KM, Huang, YQ & Reddy, JN 2004, 'Analysis of general shaped thin plates by the moving least-squares differential quadrature method', Finite Elements in Analysis and Design, vol. 40, no. 11, pp. 1453-1474. https://doi.org/10.1016/j.finel.2003.10.002

Liew, K. M., Huang, Y. Q., & Reddy, J. N. (2004). Analysis of general shaped thin plates by the moving least-squares differential quadrature method. Finite Elements in Analysis and Design, 40(11), 1453-1474. https://doi.org/10.1016/j.finel.2003.10.002

Liew KM, Huang YQ, Reddy JN. Analysis of general shaped thin plates by the moving least-squares differential quadrature method. Finite Elements in Analysis and Design. 2004 Jul;40(11):1453-1474. doi: 10.1016/j.finel.2003.10.002

Liew, K. M. ; Huang, Y. Q. ; Reddy, J. N. / Analysis of general shaped thin plates by the moving least-squares differential quadrature method. In: Finite Elements in Analysis and Design. 2004 ; Vol. 40, No. 11. pp. 1453-1474.