Generating optimal configurations in structural design using simulated annealing

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 6, 1997, Pages 1053-1069

  Shim, Patrick Y ^a   Manoochehri, Souran ^a  

^a Stevens Institute of Technology   (United States)

Author keywords

Combinatorial optimization; Configuration design; Shape optimization; Simulated annealing; Structural design

Indexed keywords

COMBINATORIAL MATHEMATICS; ERROR CORRECTION; FINITE ELEMENT METHOD; LINEARIZATION; MATHEMATICAL MODELS; OPTIMIZATION; SIMULATED ANNEALING; STRESSES; STRUCTURAL MEMBERS;

CONFIGURATION DESIGN; NONLINEAR SHAPE OPTIMIZATION PROBLEM;

STRUCTURAL DESIGN;

EID: 0031095133     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970330)40:6<1053::AID-NME97>3.0.CO;2-I     Document Type: Article

References (26)

1. M. P. Bendsøe and N. Kikuchi, 'Generating optimal topologies in structural design using a homogenization method', Comput. Methods Appl. Mech. Eng., 71, 197-224 (1988).
2. H. P. Mlejnek and R. Schirrmacher, 'An engineer's approach to optimal material distribution and shape finding', Comput, Methods Appl. Mech. Eng., 106, 1-26 (1993).
3. L. H. Tenek and I. Hagiwara, 'Static and vibrational shape and topology optimization using homogenization and mathematical programming', Comput. Methods Appl. Mech. Eng., 109, 143-154 (1993).
4. L. H. Tenek and I. Hagiwara, 'Optimization for material distribution within isotropic and anisotropic plates using homogenization', Comput. Methods Appl. Mech. Eng., 109, 155-167 (1993).
5. C. S. Jog and R. B. Haber, 'Topology design with optimized, self-adaptive material', Int. j. numer. methods eng., 37, 1323-1350 (1994).
6. D. M. Russell and S. Manoochehri, 'A two dimensional rule-based shape synthesis method', Proc. ASME Design Automation Conf., DE-19-2, 217-223 (1989).
7. E. Hinton and J. Sienz, 'Fully stressed topological design of structures using an evolutionary procedure', Eng. Comput., 12, 229-244 (1995).
8. E. Sandgren, E. Jensen and J. Welton, 'Topological design of structural components using genetic optimization methods', Proc. ASME Design Automation Conf., AMD-115, 31-43 (1990).
9. E. Sandgren and E. Jensen, 'Automotive structural design employing a genetic optimization algorithm', Proc. SAE Int. Congr. and Exposition, SAE Technical Paper #920772, 1992.
10. G. Anagnostou, E. M. Rønquist and A. T. Patera, 'A computational procedure for part design', Comput. Methods Appl. Mech. Eng., 97, 33-48 (1992).
11. P. Shim and S. Manoochehri, 'A hybrid shape optimization method based on implicit differentiation and node removal technique', Proc, ASME Design Automation Conf., DE-65, 595-603 (1993).
12. P. Shim and S. Manoochehri, 'Configuration design of structures using discrete optimization approach', Proc. ASME Design Automation Conf., DE-69, 61-68 (1994).
13. M. Itou and T. Ohkouch, 'Effect of modeling for automatic design on lightweight structural shape', Proc. ASME Design Automation Conf., 2, 537-548 (1994).
14. J. H. Holland, Adaptation in Natural and Artificial Systems, The University of Michigan Press, Ann Arbor, MI, 1975.
15. D. E. Goldberg, Genetic Algorithms in Search, Operation, and Machine Learning, Addison-Wesley, Reading, MA, 1989.
16. M. Galante, 'Genetic algorithms as an approach to optimize real-world trusses', Int. j. numer. methods eng., 39, 361-382 (1996).
17. M. Ohsaki, 'Genetic algorithm for topology optimization of trusses', Comput. Struct., 57, 219-225 (1995).
18. P. Hajela and E. Lee, 'Genetic algorithms in truss topological optimization', Int. J. Solids Struct., 32, 3341-3357 (1995).
19. D. C. Chapman and M. J. Jakiela, 'Genetic algorithm-based structural topology design with compliance and manufacturability consideration', Adv. Des. Autom., DE-69-2, 309-322 (1994).
20. H. Furuya and R. T. Haftka, 'Placing actuators on space structures by genetic algorithms and effectiveness indices', Struct. Optim., 9, 69-75 (1995).
21. N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller and E. Teller, 'Equation of state calculations by fast computing machine', J. Chem. Phys., 21, 1087-1092 (1953).
22. S. Kirkpatrick, C. D. Gelatt, Jr. and M. P. Vecchi, 'Optimization by simulated annealing', Science, 220, 671-680 (1983).
23. V. Cerny, 'Thermodynamical approach to the traveling salesman problem: an efficient simulation algorithm', J. Optim. Theory Appl. 45, 44-51 (1985).
24. P. J. M. van Laarhoven and E. H. L. Aarts, Simulated annealing: theory and applications, Kluwer Academic Publishers, Dordrecht, 1988.
25. R. J. Ball, 'Optimal steel frame design by simulated annealing', J. Struct. Eng., 117, 1780-1795 (1991).
26. R. Kuik, M. Salomon, L. N. van Wassenhove and J. Maes, 'Linear programming, simulated annealing and Tabu search heuristics for lotsizing in bottleneck assembly systems', IIE Trans., 25, 62-72 (1993).