Global Optimization of Trusses With a Modified Genetic Algorithm

Abstract

Abstract. In this paper, a technology enabling the optimization of the topology of truss or frame structures with genetic algorithms is presented. It has been shown that due to a huge number of possible variants the global solution of similar problems with exhaustive search algorithms is feasible only for systems possessing small numbers of d.o.f. s (usually until 10 nodes). These problems can be solved in a reasonable time by genetic algorithms. The modified genetic algorithm for optimization of topology of truss systems is suggested, where the repair of the genotype, instead of some constraint is used. The solution of numerical examples with original software illustrates the efficiency of proposed technology; the global solutions are obtained in all cases.

An Integrated Multi-Objective Optimization Model for Solving the Construction Time-Cost Trade-Off Problem

“…time and cost) of the construction method. Additional information on the fundamentals of multi-objective optimization and GA can be found in the related references (Certa et al 2011;Elbehairy et al 2006;Elegbede, Adjallah 2003;Geem 2010;Kandil et al 2010;Konak et al 2006;Moradi et al 2011;Sayin, Kouvelis 2005;Šešok, Belevicius 2008;Šešok et al 2010;Šostak, Vakrinien 2011;Venskus et al 2010). In this study, a software program called 'OptQuest' (an optimization tool that runs with a software program called 'Crystal Ball') was used to introduce the GA.…”

Optimization of topology of truss structures using grid computing

“…Truss structure may be optimized in several aspects: sizing, shape, and topology [1,2,3,4,5]. In this paper topology optimization [6,7] is considered, where material and cross-section of beams as well as the position of immovable nodes are defined. The problem is to find the necessary beams so that the mass of the structure would be minimal and constraints would be satisfied.…”

“…It can be approached using various methods: complete enumeration of all possible structures [8], branch-and-bound [9], local search, genetic algorithms [6,7], etc. In this paper we consider branch-and-bound algorithm, which can guarantee that the global optimum is found.…”

Saosys Toolbox as Matlab Implementation in the Elastic‐plastic Analysis and Optimal Design of Steel Frame Structures

“…minimum volume (weight) or minimum cost (Prager 1955;Skaržauskas et al 2005;Kalanta et al 2009;Šešok and Belevičius 2008). Engineering development in the field of optimal structural design requires some theoretical and practical knowledge, including the fundamentals of structural mechanics, structural design standards (STR 2.05.08;EN 1993EN -1-1: 2005 and, finally, modern information technologies.…”