An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates
type: Item
instance of: scholarly article
title: An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates
zbMATH Open document ID: 0896.73074
DOI: 10.1016/S0045-7825(96)01115-2
author: J. Ning
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1997-11-13T00:00:00Z
review text: We present the differential quadrature (DQ) method for the bending of quadrilateral Reissner/Mindlin plates with curvilinear boundaries. The curvilinear quadrilateral is mapped onto a square domain by a geometric coordinate transformation. This geometric mapping technique transforms the governing differential equations and boundary conditions from the physical domain onto the computational domain. The DQ procedures are then applied to discretise the transformed set of differential equations and boundary conditions into a system of linear algebraic equations. The numerical solutions to the problem are obtained by solving this system of linear algebraic equations. Examples illustrating the accuracy and convergence of the DQ method for Reissner/Mindlin plates with curvilinear boundaries are presented.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 1087085
zbMATH Keywords: curvilinear quadrilateral
zbMATH Keywords: geometric mapping technique
zbMATH Keywords: system of linear algebraic equations
zbMATH Keywords: plates with curvilinear boundaries
MaRDI profile type: Publication
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full work available at URL: s0045-7825(96)01115-2
OpenAlex ID: W2011195833
description: scientific article; zbMATH DE number 1087085