Técnica de programação semidefinida por arco viável e aplicação à maximização da frequência natural de estruturas mecânicas

Abstract

The semidenite programming techniques allow to optimize structural engineering problems eciently. In this work, we present the problem semidenite programming, its applications and optimality conditions. In addition, a new method of interior points by feasible arcs for the non-convex problem of semide nite programming is proposed. We present the problem of maximizing the natural frequency of structures. This problem is rewritten as a non-convex semide nite programming problem. We present some numerical tests that prove the effcetiveness of the new technique when applied to the problem of maximizing the natural frequency of structures.