Simulated Annealing Application for Structural Optimization

Several methods are available for weight and shape optimization of structures, among which Evolutionary Structural Optimization (ESO) is one of the most widely used methods. In ESO, however, the optimization criterion is completely case-dependent. Moreover, only the improving solutions are accepted during the search. In this paper a Simulated Annealing (SA) algorithm is used for structural optimization problem. This algorithm differs from other random search methods by accepting non-improving solutions. The implementation of SA algorithm is done through reducing the number of finite element analyses (function evaluations). Computational results show that SA can efficiently and effectively solve such optimization problems within short search time.




References:
[1] Y. M. Xie, G. P Steven, "A simple evolutionary procedure for structural
optimization." 1993 Computers & Structures; 49:885-96.
[2] P. Tanskanen, "The evolutionary structural optimization method:
theoretical aspect", 2002 Comput. Methods Appl. Mech. Engrg. 191
4585-5498.
[3] O.M. Querin, V. Young, G.P. Steven, Y.M. "Xie Computational
efficiency and validation of bi-directional evolutionary structural
optimization", 2000 Comput. Methods Appl. Mech. Engrg. 189, 559-
573.
[4] X. Huang,Y.M. Xie, "Convergent and mesh-independent solutions for
the bi-directional evolutionary structural optimization method", Finite
Elements in Analysis and Design 43 (2007) 1039 - 1049.
[5] M. Zhou, G.I.N. Rozvany, "On the validity of ESO type methods in
topology optimization", Struct. Multidiscip. Optim. 21 (2001) 80-83.
[6] Xia Liua, Wei-Jian Yia, Q.S. Lib, Pu-Sheng Shena, "Genetic
evolutionary structural optimization", Journal of Constructional Steel
Research, to be published.
[7] S. Kirkpatrik, C. D. Gelatt, M. P. Vecchi, "Optimization by Simulated
Annealing". 1982 IBM Research Report RC 9355.
[8] T. Loukil, J. Teghem, D. Tuyttens, "Solving multi-objective production
scheduling problems using met heuristics", 2005 European Journal of
Operational Research, 161, 42-61.
[9] W. A Bennage, A. K. Dhingra, "Single and multiobjective structural
optimization in discrete-continuous variables using simulated annealing"
IntJ Numer Meth Engng 1995;38:2753-73.
[10] X. Huang, Y. M. Xie , "A new look at ESO and BESO optimization
methods", Struct Multidisc Optim, Springer-Verlag 2007