Particle swarm approach for structural design optimization

This paper presents in detail the background and implementation of a particle swarm optimization algorithm suitable for constraint structural optimization tasks. Improvements, effect of the different setting parameters, and functionality of the algorithm are shown in the scope of classical structural optimization problems. The effectiveness of the approach is illustrated by three benchmark structural optimization tasks. Results show the ability of the proposed methodology to find better optimal solutions for structural optimization tasks than other optimization algorithms.

[1]  O. Hasançebi,et al.  Optimal design of planar and space structures with genetic algorithms , 2000 .

[2]  Xiaohui Hu,et al.  Engineering optimization with particle swarm , 2003, Proceedings of the 2003 IEEE Swarm Intelligence Symposium. SIS'03 (Cat. No.03EX706).

[3]  George I. N. Rozvany,et al.  DCOC: An optimality criteria method for large systems Part II: Algorithm , 1993 .

[4]  Russell C. Eberhart,et al.  Parameter Selection in Particle Swarm Optimization , 1998, Evolutionary Programming.

[5]  M. Galante,et al.  Structures optimization by a simple genetic algorithm. , 1992 .

[6]  Liyan Zhang,et al.  Robust PID controller design using particle swarm optimizer , 2003, Proceedings of the 2003 IEEE International Symposium on Intelligent Control.

[7]  R. Haftka,et al.  Elements of Structural Optimization , 1984 .

[8]  E. Hinton,et al.  Optimization of trusses using genetic algorithms for discrete and continuous variables , 1999 .

[9]  L. A. Schmit,et al.  A new structural analysis/synthesis capability - ACCESS , 1975 .

[10]  Andries Petrus Engelbrecht,et al.  A study of particle swarm optimization particle trajectories , 2006, Inf. Sci..

[11]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[12]  Jaroslaw Sobieszczanski-Sobieski,et al.  Particle swarm optimization , 2002 .

[13]  Maurice Clerc,et al.  The particle swarm - explosion, stability, and convergence in a multidimensional complex space , 2002, IEEE Trans. Evol. Comput..

[14]  P. Fourie,et al.  The particle swarm optimization algorithm in size and shape optimization , 2002 .

[15]  Yutian Liu,et al.  An adaptive PSO algorithm for reactive power optimization , 2003 .

[16]  S. Wu,et al.  Steady-state genetic algorithms for discrete optimization of trusses , 1995 .

[17]  M. El-Sayed,et al.  Structural optimization using unconstrained nonlinear goal programming algorithm , 1994 .

[18]  Yaobin Chen,et al.  Battery pack state of charge estimator design using computational intelligence approaches , 2000, Fifteenth Annual Battery Conference on Applications and Advances (Cat. No.00TH8490).

[19]  José Boaventura Cunha,et al.  Design of PID controllers using the particle swarm algorithm , 2002 .

[20]  R. Eberhart,et al.  Comparing inertia weights and constriction factors in particle swarm optimization , 2000, Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512).

[21]  A. Belegundu,et al.  Trust region methods for structural optimization using exact second order sensitivity , 1991 .

[22]  L. A. Schmit,et al.  Discrete-continuous variable structural synthesis using dual methods , 1980 .

[23]  L. Schmit,et al.  Some Approximation Concepts for Structural Synthesis , 1974 .

[24]  J. Sobieszczanski-Sobieski,et al.  Multidisciplinary optimization of a transport aircraft wing using particle swarm optimization , 2004 .

[25]  R. Eberhart,et al.  Empirical study of particle swarm optimization , 1999, Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406).

[26]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[27]  Du Ming-zhu,et al.  An improved Templeman's algorithm for the optimum design of trusses with discrete member sizes , 1986 .

[28]  M. W. Dobbs,et al.  Application of optimality criteria to automated structural design , 1976 .

[29]  Hojjat Adeli,et al.  Efficient optimization of plane trusses , 1991 .

[30]  Kevin M. Passino,et al.  Biomimicry of bacterial foraging for distributed optimization and control , 2002 .

[31]  Yongling Zheng,et al.  On the convergence analysis and parameter selection in particle swarm optimization , 2003, Proceedings of the 2003 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.03EX693).

[32]  Ioan Cristian Trelea,et al.  The particle swarm optimization algorithm: convergence analysis and parameter selection , 2003, Inf. Process. Lett..

[33]  Marco Dorigo,et al.  Ant system: optimization by a colony of cooperating agents , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[34]  V. Venkayya Design of optimum structures , 1971 .

[35]  R. A. Gellatly,et al.  Optimal Structural Design. , 1971 .

[36]  Carlos A. Coello Coello,et al.  Use of Particle Swarm Optimization to Design Combinational Logic Circuits , 2003, ICES.

[37]  Yuhui Shi,et al.  Cooperative Particle Swarm Optimization for Robust Control System Design , 2003 .

[38]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[39]  M. A. Abido Optimal des'ign of Power System Stabilizers Using Particle Swarm Opt'imization , 2002, IEEE Power Engineering Review.

[40]  O. Weck,et al.  A COMPARISON OF PARTICLE SWARM OPTIMIZATION AND THE GENETIC ALGORITHM , 2005 .

[41]  Paulo Rizzi,et al.  Optimization of multi-constrained structures based on optimality criteria , 1976 .

[42]  Yue Shi,et al.  A modified particle swarm optimizer , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[43]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.