Numerical Buckling Analysis of Plate Assemblies

by Niels C. Lind, (M.ASCE), Prof. of Civ. Engrg.; Univ. of Waterloo, Waterloo, Ontario, Canada,

Serial Information: Journal of the Structural Division, 1978, Vol. 104, Issue 2, Pg. 329-339

Document Type: Journal Paper


Determination of the critical stress parameters for local buckling of a plate assembly, such as a cold-formed structural profile or a folded plate structuree, involves the solution of an eigenvalue problem of a family of linear partial differential equations. Excepting a few classical cases, numerical methods are required for solution. For the common practical case that the properties are constant in one direction of the plate, a separation of variables method is given which reduces the problem to a one-dimensional iteration and quadratures. Proof of convergence is given. A modification of Newmark's method for buckling analysis is indicated. Examples show rapid convergence, good accuracy, and suitability for manual computation.

Subject Headings: Numerical analysis | Buckling | Plates | Numerical methods | Convergence (mathematics) | Parameters (statistics) | Folded plates | Eigenvalues

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