Structural optimization using evolution strategies and neural networks

Computer Methods in Applied Mechanics and Engineering

Volumn 156, Issue 1-4, 1998, Pages 309-333

  Papadrakakis, Manolis ^a   Lagaros, Nikos D ^a   Tsompanakis, Yiannis ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001858027     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00215-6     Document Type: Article

References (35)

1. M. Papadrakakis, Y. Tsompanakis and N.D. Lagaros, Structural shape optimization using evolution strategies, Report ISASR 96-4 (1996).
2. M. Papadrakakis, Y. Tsompanakis, E. Hinton and J. Sienz, Advanced solution methods in topology optimization and shape sensitivity analysis, J. Engrg. Comput. 13(5) (1996) 57-90.
3. L.J. Fogel, A.J. Owens and M.J. Walsh, Artificial Intelligence through Simulated Evolution (Wiley, New York, 1966).
4. D.E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning (Addison-Wesley Publishing Co., Inc., Reading, MA, 1989).
5. J. Holland, Adaptation in Natural and Artificial Systems (University of Michigan Press, Ann Arbor, 1975).
6. I. Rechenberg, Evolution Strategy: Optimization of Technical Systems According to the Principles of Biological Evolution (Frommann-Holzboog, Stuttgart, 1973).
7. H.P. Schwefel, Numerical Optimization for Computer Models (Wiley & Sons, Chichester, UK, 1981).
8. P. Hajela and L. Berke, Neurobiological computational models in structural analysis and design, Comput. Struct. 41 (1991) 657-667.
9. L. Berke, S.N. Patnaik and P.L.N. Murthy, Optimum design of aerospace structural components using neural networks, Comput. Struct. 48 (1993) 1001-1010.
10. A. Berrais, Neural networks in structural engineering: State of the art, in: B.H.V. Topping, ed., Advances in Computational Structures Technology (CIVIL-COMP Press, Edinburgh, 1996) 93-101.
11. Z. Waszczyszyn, Some recent and current problems of neurocomputing in civil and structural engineering, in: B.H.V. Topping, ed., Advances in Computational Structures Technology (CIVIL-COMP Press, Edinburgh, 1996) 43-58.
12. D.E. Rummelhart and J.L. McClelland, Parallel Distributed Processing, Vol. 1: Foundations (The MIT Press, Cambridge, 1986).
13. E. Hinton and J. Sienz, Aspects of adaptive finite element analysis and structural optimization, in: B.H.V. Topping and M. Papadrakakis, eds., Advances in Structural Optimization (CIVIL-COMP Press, Edinburgh, 1994) 1-26.
14. E. Ramm, K.-U. Bletzinger, R. Reitinger and K. Maute, The challenge of structural optimization, in: B.H.V. Topping and M. Papadrakakis, eds., Advances in Structural Optimization (CIVIL-COMP Press, Edinburgh, 1994) 27-52.
15. V. Thevendran, N.C. Das Gupta and G.H. Tan, Minimum weight design of multi-bay multi-storey steel frames, Comput. Struct. 43(3) (1992) 495-503.
16. G.M. Barsan, Optimal design of planar frames based on structural performance criteria, Comput. Struct. 3(2) (1994) 1395-1400.
17. AISC-Manual of Steel Construction, 9th edition, American Institute of Steel Constructions, Chicago, IL, 1989.
18. M. Schoenauer, Shape representation for evolutionary optimization and identification in structural mechanics, in: G. Winter, J. Periaux, M. Galan and P. Cuesta, eds., Genetic Algorithms in Engineering and Computer Science (J. Wiley, 1995) 443-464.
19. F. Hoffmeister and T. Back, Genetic algorithms and evolution strategies - similarities and differences, in: H.P. Schwefel and R. Manner, eds., Parallel Problems Solving from Nature (Springer-Verlag, Berlin, Germany, 1991) 455-469.
20. G. Thierauf and J. Cai, A two level parallel evolution strategy for solving mixed-discrete structural optimization problems. The 21st ASME Design Automation Conference, Boston, MA, September, 1995, 17-221.
21. G. Thierauf and J. Cai, Structural optimization based on evolution strategy, in: M. Papadrakakis and G. Bugeda, eds., Advanced Computational Methods in Structural Mechanics (CIMNE, Barcelona, 1996) 266-280.
22. M. Papadrakakis, N.D. Lagaros, G. Thierauf and J. Cai, Advanced solution methods in structural optimization based on evolution strategies, Engrg. Comput. (to be published).
23. A.D. Belegundu and J.S. Arora, A study of mathematical programming methods for structural optimization, Part I: Theory, Part II: Numerical results, Int. J. Numer. Methods Engrg. 21 (1985) 1583-1623.
24. P.B. Thanedar, J.S. Arora, C.H. Tseng, O.K. Lim and G.J. Park, Performance of some SQP methods on structural optimization problems, Int. J. Numer. Methods Engrg. 23 (1986) 2187-2203.
25. L.S. Lasdon, A.D. Warren, A. Jain and R. Ratner, Design and testing of a generalized reduced gradient code for nonlinear programming, ACM Trans. Math. Softw. 4(1) (1978) 34-50.
26. K. Svanberg, The method of moving asymptotes, a new method for structural optimization, Int. J. Numer. Methods Engrg. 23 (1987) 359-373.
27. Y.H. Pao, Adaptive Pattern Recognition and Neural Networks (Addison-Wesley Publishing Co, 1989).
28. R.C. Shieh, Massively parallel structural design using stochastic optimization and mixed neural net/finite element analysis methods, Comput. Syst. Engrg. 5(4-6) (1994) 455-467.
29. Z.P. Swewczyk and P. Hajela, Neurocomputing strategies in structural design-decomposition based optimization, Struct. Optim. 8 (1994) 242-250.
30. M. Papadrakakis, V. Papadopoulos and N.D. Lagaros, Structural reliability analysis of elastic-plastic structures using neural networks and Monte Carlo simulation, Comput. Methods Appl. Mech. Engrg. 136 (1996) 145-163.
31. W.S. Sarle, Neural network implementation in SAS software, SAS Institute Inc, 1994.
32. Y. Hirose, K. Yamashita and S. Hijiya, Back-propagation algorithm which varies the number of hidden units, Neural Networks 4 (1991) 61-66.
33. M.J. Embrechts, Metaneural-Version 4.1, Rensselear Polytechnique Institute, 1994.
34. E. Hinton and J. Sienz, Studies with a robust and reliable structural shape optimization tool, in: B.H.V. Topping, ed., Developments in Computational Techniques for Structural Engineering (CIVIL-COMP Press, Edinburgh, 1995) 343-358.
35. NAG, Software manual, NAG Ltd, Oxford, UK, 1988.