Abstract
Abstract The aim of the present paper is to show an application of some results of the classical elastica solution for exact critical and postcritical analysis of plane frames. To this effect equilibrium and compatibility equations of perturbed frame configurations are derived. They are solved numerically to provide postcritical equilibrium paths and critical points for both perfect and imperfect structures. It turns out that all the postcritical frame parameters can be expressed by a single properly chosen independent variable, say displacement or angle of rotation of a characteristic cross-section. Finally, the total potential energy function at the critical branching point of a simple frame is derived to show that it exhibits a degenerate type of double cusp catastrophe.
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