Tracing the buckling of a rectangular plate with the block GMRES method

DOI10.1016/S0377-0427(00)00611-7zbMath1001.74120MaRDI QIDQ5948577

Zhen Mei, Shing-Lin Chang, Cheng-Sheng Chien

Publication date: 21 February 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

linear stabilityeigenvaluesbifurcationcomputer algebracontinuation methodselastic rectangular platelinearized von Kármán equationspartially clamped boundary conditionspreconditioned block GMRES methodvon Kármán equations

Mathematics Subject Classification ID

Plates (74K20) Bifurcation and buckling (74G60) Iterative numerical methods for linear systems (65F10) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items

A unilateral contact model with buckling in von Kármán plates, Semi-analytical finite strip transfer matrix method for buckling analysis of rectangular thin plates, The projective-iterative method and neural network estimation for buckling of elastic plates in nonlinear theory, Buckling and postbuckling analysis of rectangular plates resting on elastic foundations with the use of the spectral method, The spectral method and numerical continuation algorithm for the von Kármán problem with postbuckling behaviour of solutions, A time spectral method for solving the nonlinear dynamic equations of a rectangular elastic plate, Elastic nonlinear stability analysis of thin rectangular plates through a semi-analytical approach, Bifurcation detection with the (un)preconditioned GMRES(m)

Uses Software

• HOMPACK90
• HOMPACK

Cites Work

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