Optimization of a pentagonal cross section of the truck crane boom using Lagrange’s multipliers and differential evolution algorithm

Abstract

The cross sections of truck crane booms are complex box-like cross sections which should provide continuous stress distribution. It is difficult to analytically determine the optimal relations among geometric parameters of such cross sections. The paper deals with the method for determination of relations among geometric parameters in order to reach the optimal shape of the cross section. The method is based on Lagrange’s multipliers used for determination of extreme values. The optimization of geometric parameters has been also done by the algorithm of Differential Evolution (DE). The optimization of cross section is based on the strength criterion. The results of applied methods have been verified by means of numerical example for an existing solution. The comparative analysis of the results of both methods has been done, too.