A genetic algorithm for combined topology and shape optimisations

CAD Computer Aided Design

Volumn 35, Issue 8 SPEC., 2003, Pages 761-769

  Cappello, F ^a   Mancuso, A ^a  

^a UNIVERSITY OF PALERMO   (Italy)

Author keywords

Genetic algorithms; Shape optimisation; Topology optimisation

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; OPTIMIZATION; PROBLEM SOLVING; TOPOLOGY;

SHAPE OPTIMIZATION;

GENETIC ALGORITHMS;

EID: 0037411356     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(03)00007-1     Document Type: Article

References (28)

1. Olhoff N., Taylor J.E. On structural optimisation. J Appl Mech. 50:1983;1139-1151.
2. Cappello F, Mancuso A. Ottimizzazione della disposizione delle fibre della carena di un'imbarcazione in composito. Proceedings of II Seminario Italo-Español, Progettazione e fattibilità dei prodotti industriali, Vico Equense (Napoli); June 1998.
3. Cappello F, Celestino A, Luparello S. Progettazione ottimizzata dell'alettone di un'auto da competizione mediante un algoritmo genetico. Proceedings of II Seminario Italo-Español, Progettazione e fattibilità dei prodotti industriali, Vico Equense (Napoli); June 1998.
4. Cappello F, Ceresia A. Ottimizzazione di forma di componenti strutturali, Il Progettista Industriale; May 1996.
5. Wieghardt K., Hartmann D., Leimbach K.R. Interactive shape optimization of continuum structures. Engng Struct. 19:(4):1997;325-331.
6. Bendsoe M.P., Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Comp Meth Appl Mech Engng. 71:1988;197-224.
7. Bendsoe M.P. Optimis. of struct. topology, shape, and material. 1995;Springer, Berlin.
8. Rozvany G.I.N. Aims, scope, basic concepts and methods of topology optimisation. Topology optimisation in structural mechanics. 1997;Springer, New York.
9. Rozvany G.I.N., Olhoff N., Cheng K., Taylor J.E. On the solid plate paradox in structural optimisation. J Struct Mech. 10:1982.
10. Rodrigues J., Seireg A. Optimizing the shapes of structures via a ruled-based computer program. Comp Mech Engng. 4:1985;20-28.
11. Cappello F. Progettazione di strutture mediante ottimizzazione topologica. Proceedings of the XI International Conference ADM, Palermo; 1999.
12. Goldberg D.E. Genetic algoritms in search, optimisation and machine learning. 1989;Addison-Wesley, Reading, MA.
13. Holland J.H. Adaptation in natural and artificial system. 1975;University of Michigan Press, Ann Arbor.
14. Vanderplats Garret N. Numerical optimisation techniques for engineering design, Monterey, California; 1984.
15. Patnaik L.M., Mandavilli S. Adaptation in genetic algorithms. Sankar K.P., Wang P.P. Genetic algorithms for pattern recognition. 1996;45-64 CRC Press, New York.
16. Michalewicz Z. Genetic algorithms-data structures-evolution programs, Department of Computer Science, University of North Carolina, Charlotte, USA; 1994.
17. Wright A.H. Algorithms for real parameter optimisation. Foundation of genetic algorithms, first on the foundation of genetic algorithms and classifier systems. 1991;Morgan Kaufmann, Los Altos, CA. pp. 205-18.
18. De S., Ghosh A., Pal S.P. Fitness evaluation in genetic algorithms with ancestors influence. Sankar K.P., Wang P.P. Genetic algorithms for pattern recognition. 1996;1-23 CRC Press, New York.
19. Sankar K.P., Wang P.P. Genetic algorithms for pattern recognition. 1996;CRC Press, Boca Raton, FL.
20. Arabas J., Michalewicz Z., Mulawka J. GAVaPS - a genetic algorithm with varying population size. 1994;IEEE Press, Orlando.
21. Ansys Users' Manual, Swanson Analysis System, Inc; 1992.
22. Chung J., Lee K. Optimal design of rib structures using the topology optimisation technique. Proc Inst Mech Engrs. 211:1997.
23. Yang R.J., Chuang C.H. Optimal topology design using linear programming. Comput Struct. 52:(2):1994;265-275.
24. Mlejnek H.P., Schirrmacher R. An engineering approach to optimal material distribution and shape finding. Comp Meth Appl Mech Engng. 106:1993;1-26.
25. Krog L.A., Olhoff N. Topology and reinforcement layout optimisation of disk, plate, and shell structures. Topology optimisation in structural mechanics. 1997;Springer, New York.
26. Allaire G. The homogenisation method for topology and shape optimisation. Topology optimisation in structural mechanics. 1997;Springer, New York.
27. Mlejnek H.P. Some approach for shape finding in optimal structural design. Proc Int Conf Engrg Optimiz in Design Proc. vol. 63:1991;Springer, Berlin. Lecture notes in English.
28. Tenek L.H., Hagiwara I. Optimal rectangular plate and shallow shell topologies using thickness distribution or homogenisation. Comp Meth Appl Mech Engng. 115:1994;111-124.