Optimization of truss structures by a stochastic method

Abstract

-This paper presents an original stochastic method of optimization (PGSL) for optimum design of truss structures. PGSL (Probabilistic Global Search Lausanne, developed at the Swiss Federal Institute of Technology at Lausanne) has been interfaced with a finite element code, then applied and tested on several size optimization problems of plane truss structures. This method uses a probability distribution function (PDF) to sample the search space and select the best structure. A PDF represents the probability of finding a good solution at any given point in the search domain. The better solutions are more likely to be found in the neighbourhood of good solutions; hence, probabilities are increased in regions where good solutions are found. The main advantage of this method is to avoid the sensitivity analysis and to converge to the global optimum.

Structural Optimization in Civil Engineering: A Literature Review

“…Compliance and total strain energy are often used as the quantification of structural stiffness. Theoretically, all of the structural properties even aesthetics attributes can be used as optimization objectives if these properties can be appropriately quantified [121].…”