The static perturbation technique in buckling problems

Abstract A ttention is directed to the fact that the static perturbation technique is the basic tool in a wide class of stability investigations in solid mechanics. This seems often to have been overlooked, sometimes with disadvantage. The perturbations are in terms of a parameter representing progress along any prospective equilibrium path. The method is illustrated by applying it to general conservative (and some non-conservative) finite-dimensional systems. The leading perturbation problems are worked out in detail for a model of the elastic/plastic column, and a new exact finite deflection solution of the latter is obtained for comparison.

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