Evolutionary structural optimisation (ESO) using a bidirectional algorithm

Engineering Computations (Swansea, Wales)

Volumn 15, Issue 8, 1998, Pages 1031-1048

  Querin, O M ^a   Steven, G P ^a   Xie, Y M ^b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b VICTORIA UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ADDITIVE EVOLUTIONARY STRUCTURAL OPTIMIZATION (AESO) METHODS; BIDIRECTIONALLY EVOLUTIONARY STRUCTURAL OPTIMIZATION (BESO) METHODS;

ALGORITHMS; CONSTRAINT THEORY; FINITE ELEMENT METHOD; GENETIC ALGORITHMS; STRESS ANALYSIS; STRUCTURAL ANALYSIS; TOPOLOGY; COMPUTER AIDED DESIGN; DECISION MAKING; PROBLEM SOLVING; RAPID PROTOTYPING;

OPTIMIZATION; STRUCTURAL OPTIMIZATION;

ADDITIVE EVOLUTIONARY STRUCTURAL OPTIMIZATION (AESO); EVOLUTIONARY STRUCTURAL OPTIMIZATION (ESO); FULLY STRESSED DESIGN (FSD); OPTIMALITY CRITERIA (OC);

EID: 0032296112     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644409810244129     Document Type: Article

References (29)

1. Bendsøe, M.P. (1995), Optimization of Structural Topology, Shape and Material, Springer, Heidelberg.
2. Bendsøe, M.P. and Kikuchi, N. (1988), "Generating optimal topologies in structural design using a homogenization method", Comp. Meth. Appl. Eng. Mech., Vol. 71, pp. 197-224.
3. Cook, R.D., Malkus, D.S. and Plesha, M.E. (1989), Concepts and Applications of Finite Element Analysis, 3rd edition, John Wiley & Sons, New York, NY.
4. Eschenauer, H., Koski, J. and Osyczka, A. (1990), Multicriteria Design Optimization, Springer-Verlag, Berlin.
5. Falzon, B.C., Steven, G.P. and Xie, Y.M. (1996), "Shape optimization of interior cutouts in composite panels", Structural Optimization, Vol. 11, pp. 43-9.
6. Garcia, M. and Steven, G.P. (1997a), "Fixed grid finite elements in elasticity problems", submitted to Engineering Computations.
7. Garcia, M. and Steven, G.P. (1997b), "Displacement error for fixed FEA in elasticity problems", submitted to Finite Elements in Analysis and Design.
8. Goldberg, D.E. (1989), Genetic Algorithms in Search, Optimisation and Machine Learning, Addison-Wesley.
9. Haftka, R.T. and Gurdal, Z. (1992), Elements of Structural Optimization, 3rd edition, Kluwer Academic Publishers, Dordrecht.
10. Hemp, W.S. (1973), Optimum Structures, Clarendon Press, Oxford.
11. Hinton, E. and Sienz, J. (1995), "Fully stressed topological design of structures using an evolutionary procedure", Engineering Computations, Vol. 12, pp. 229-44.
12. Hughes, T.J.R. (1987), The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ.
13. Jettour, P. and Frey, F. (1986), "A four node Marguerre element for non-linear shell analysis", Engineering Computations, Vol. 3 No. 4.
14. Li, Q., Steven, G.P. and Xie, Y.M. (1997), "Topology design of structures subjected to thermal loading by evolutionary optmization procedure", Proc. of DETC '97, 1997 ASME Design Engineering Technical Conf. Paper DETC97DAC3974, Sacramento.
15. Mattheck, C. and Burkhardt, S. (1990), "A new method of structural shape optimisation based on biological growth", Int. J. Fatigue, Vol. 12 No. 3, pp. 185-90.
16. Maute, K. and Ramm, E. (1995), "General shape optimisation - an integrated model for topology and shape optimisation", in Rosvany, G.I.N. and Olhoff, N. (Eds), Proc 1st World Congress on Structural and Multidiscipline Optimisation, Pergammon, Oxford and New York.
17. Michell, A.G.M. (1904), "The limits of economy of material in frame-structures", Phil. Mag. Vol. 8, pp. 589-97.
18. Murte, K.G. (1995), Operations Research: Deterministic Optimization Models, Prentice-Hall, Englewood Cliffs, NJ.
19. Papadrakakis, M., Tsompanakis, Y., Hinton, E. and Sienz, J. (1996), "Advanced solution methods in topology optimization and shape sensitivity analysis", Engineering Computations, Vol. 13, pp. 57-90.
20. Querin, O. (1997a), "ESO: stress based formulation and implementation", PhD thesis, Aeronautical Engineering, University of Sydney.
21. Querin, O., Steven, G.P. and Xie, Y.M. (1997b), "Evolutionary structural optimisation by an additive algorithm", submitted to Finite Elements in Analysis and Design.
22. Querin, O., Steven, G.P. and Xie, Y.M. (1997c), "Development of a performance indicator for structural topology optimization", forthcoming in Structural Optimization.
23. Rozvany, G.I.N. (1989), Structural Design via Optimality Criteria, Kluwer Academic Publishers, Dordrecht.
24. Steven, G.P., Querin, O. and Xie, Y.M. (1997), "Structural perfection: real or imaginary (or just the place to FEA)", Proc. NAFEMS World Congress '97, Stuttgart, pp. 37-48.
25. Vanderplaats, G.N. (1984), Numerical Optimization Techniques for Engineering Design: with Application, McGraw-Hill, New York, NY.
26. Xie, Y.M. and Steven, G.P. (1993), "A simple evolutionary procedure for structural optimisation", Computers and Structures, Vol. 49, pp. 885-96.
27. Xie, Y.M. and Steven, G.P. (1997), Evolutionary Structural Optimisation, Springer, Heidelburg.
28. Zienkiewicz, O.C. and Taylor, R.L. (1989), The Finite Element Method, 4th edition, Vol. 1: Basic Formulation and Linear Problems, McGraw-Hill, New York.
29. Zienkiewicz, O.C. and Taylor, R.L. (1991), The Finite Element Method, 4th edition, Vol. 2: Solid and Fluid Mechanics, Dynamics and Nonlinearity, McGraw-Hill, New York.