Optimisation des portiques dans les conditions d'adaptation avec des restrictions en déplacements

Abstract

The theory of mathematical programming is used, composing improved mathematical models of nonlinear load-oriented problem for frames at shakedown under stiffness constrains and performing its numerical experiment. Mathematical model of load variation bounds optimization problem contains strength and stiffness constrains. Complementary slackness conditions of mathematical programming prohibit taking into account the dechargable phenomena in some cross-sections, therefore analysis of residual deformation compatibility equations are performed, using linear mathematical programming. An elastic perfectly-plastic frame is considered. The results are valid for the small displacement assumptions.