Explicit Solutions for Plate Buckling Analysis

by 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


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: Plates | Buckling | Nonlinear analysis | Approximation methods | Nonlinear response | Compressive strength | Shear deformation | Load factors

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