Optimization of slender systems by means of genetic algorithms

In this paper, the results of numerical studies on optimization of a geometrically nonlinear column with an internal crack by means of genetic algorithms are presented. The system is loaded by an axially applied external force P with a constant line of action. The presented problem is formulated on the basis of the principle of stationary total potential energy. The main purpose of this paper is to investigate an influence upon the localization of the crack and flexural rigidity ratio on critical loading of the system and to find an optimum localization of the crack in order to achieve high loading capacity. In order to calculate optimum values of these parameters the genetic algorithms are implemented into computer program. The artificial method of solution of the problem has been used due to the strongly nonlinear nature of the investigated problem.