Multiple interaction and localization phenomenon in postbuckling of compressed thin-walled members
Résumé
In this paper, the effect of boundary conditions on multiple interactive buckling in thin-walled members under compression is analyzed by means of the general theory of stability. The total potential energy is expanded to up to third-order terms to investigate structures with asymmetric postbuckling behavior; initial geometric imperfections are taken into account. Under simplifying assumptions, the nonlinear equations governing the postcritical behavior reduce to a linear eigenvalue problem that is independent of the geometric and mechanical properties of the column and depends on the boundary conditions only. Localization of the buckling patterns is verified when a large number of local buckling modes occur simultaneously. A continuum representation, based on the substitution of the algebraic eigenvalue problem with a differential equation, is proposed.
Domaines
Autre
Origine : Fichiers produits par l'(les) auteur(s)