Fl. Liu et Km. Liew, Differential quadrature element method for static analysis of Reissner-Mindlin polar plates, INT J SOL S, 36(33), 1999, pp. 5101-5123
In this paper, a new numerical technique, the differential quadrature eleme
nt method (DQEM), has been developed for static analysis of the two-dimensi
onal polar Reissner-Mindlin plate in the polar coordinate system by integra
ting the domain decomposition method (DDM) with the differential quadrature
method (DQM). The detailed formulations for the sectorial DQEM plate bendi
ng element and the compatibility conditions between each element are presen
ted. The convergence properties and the accuracy of the DQEM for bending of
thick polar plates are investigated through a number of numerical computat
ions. Consequently, the DQEM has been successfully applied to analyze sever
al annular sector plates with discontinuous loading and boundary conditions
and cutouts to illustrate the simplicity and flexibility of this method fo
r solving Reissner-Mindlin plates in polar coordinate system which are not
solvable directly using the differential quadrature method. The numerical r
esults are verified by the existing exact solutions or the FEM solutions ob
tained using the software package ANSYS (Version 5.3). (C) 1999 Elsevier Sc
ience Ltd. All rights reserved.