The effect of non-linearity on the design optimization of truss structures

et al.;Numerical Applications in Engineering (IUSIANI) at ULPGC;Spanish Society for Applied Mathematics (SEMA);Spanish Society for Numerical Methods in Eng. (SEMNI);Univ. Institute of Intelligent Syst. and;University of Las Palmas de Gran Canaria (ULPGC)8th International Conference on Computational Structures Technology, CST 2006 --12 September 2006 through 15 September 2006 -- Las Palmas de Gran Canaria --Optimization and structural analysis models are two main elements in the design optimisation of truss structures. Therefore, optimality degree in the design of pinconnected trusses by linear response is varied with the use of a realistic non-linear response. In this paper, the variation in the design optimisation by linear and nonlinear response is considered with multi-objective genetic algorithm optimization method with the multi-populations. While, in optimization model, pareto ranking based multi-objective genetic algorithm method is employed, line-search with arclength method (cylindrical arc-length technique) is used for the non-linear response in structural analysis model. Considering that one of the preferable approaches used by both linear and non-linear analysis is that the total potential energy has a stationary value at the equilibrium position, the objective functions minimize the weight of the pin-connected truss together with its strain energy that exists in structural mechanic. © 2006 Civil-Comp Press