NONLOCAL OPTIMIZATION OF THERMOELASTIC ROD MADE FROM DISCRETE SET OF MATERIALS WITH APPLICATION OF GENETIC ALGORITHM

Abstract

The problems of optimal design of structures from discrete set of materials are investigated. Specific peculiarity of performed studies consists in the fact that the admissible design variables take the values from the given set of discrete values. Elastic rod built up from different piecewise homogeneous materials is considered as an optimized structural element. It is supposed that the rod is under compression aroused as a consequence of its heating and of clamping conditions. Formulated optimization problems consists in finding of optimal thermoelastic material distribution along the rod, which minimized the reaction force or maximized the critical buckling temperature. Modified genetic algorithm and the results of its application for solution of nonlocal optimization problem are presented.