Frame structures optimization based on evolutionary modeling in active overall stability constraints

Abstract

Abstract A method of stochastic search for rational solutions for steel frame structures based on the genetic algorithm has been developed taking into account the presence of an active constraint on structure stability. To evaluate the stability, an internal iterative cycle is introduced into decision making process during which the finite element technique equation system is solved in the presence of a geometric matrix. An example of bar optimization taking into account the loss of stability under various loading options is considered. When implementing the genetic algorithm, an adjustable mutation operator is used along with penalty function, which regulates the degree of violation of constraints on the displacements of the frame system and critical stresses acting within the bar.