Abstract

This work presents the topology optimization of bi-dimensional structures in plane stress state, considering a bidirectional scheme of optimization, incorporating a penalization parameter that maximizes the stiffness, considering the kinematic constraints. An open source code was implemented in MATLAB, with capabilities to find the optimal structures for a certain volume fraction, modified to obtain the optimal structure considering a limited or admissible displacement. Two classical problems in the literature are analyzed by introducing the developed concepts. The results obtained indicate that, for a particular state of charge, it is possible to define different configurations for maximum rigidity, depending on the displacement considered. Each one of these configurations is structured on the basis of compression and tension elements that resemble a lattice, with almost uniform tensional distribution in each element. The relevance of this work is that it allows you to display the existence of maximum configurations, depending on the limit or admissible displacement and how this converges to a structure with uniform stress levels