Explicit Solutions for Plate Buckling Analysisby Donald G. Williams, Project Engr.; Redpath Dorman Long, Ltd., Bedford, England,
Alastair C. Walker, Reader in Struct. Engrg.; University Coll., London, England,
Serial Information: Journal of the Engineering Mechanics Division, 1977, Vol. 103, Issue 4, Pg. 549-568
Document Type: Journal Paper
Abstract: Solutions are presented for the analysis of the nonlinear buckling behavior of initially deformed plates subject to in-plane compressive and shear loading. It is shown that perturbation techniques can be used in conjunction with computer-oriented numerical methods to produce simple explicit polynomial series solutions for displacements and forces. The numerical method used is a finite difference approximation to the nonlinear equilibrium equations together with dynamic relaxation. Examples are given which illustrate the potential of the expressions for design of initially deformed thin-walled structural components.
Subject Headings: Numerical methods | Nonlinear analysis | Buckling | Deformation (mechanics) | Plates | Approximation methods | Nonlinear response
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