Efficient strategies for reliability-based optimization involving non-linear, dynamical structures

Computers and Structures

Volumn 89, Issue 19-20, 2011, Pages 1797-1811

  Valdebenito, M A ^a   Schueller G I ^a  

^a UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

Advanced simulation techniques; Decoupling; Line search; Reliability sensitivity estimation; Reliability based optimization; Weighted approximation

Indexed keywords

ADVANCED SIMULATION; DECOUPLING; LINE SEARCHES; RELIABILITY BASED OPTIMIZATION; RELIABILITY SENSITIVITY ESTIMATION; WEIGHTED APPROXIMATION;

DYNAMIC LOADS; OPTIMIZATION;

RELIABILITY;

EID: 80052266446     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2010.10.014     Document Type: Conference Paper

References (50)

1. J. Arora Optimization of structural and mechanical systems 2007 World Scientific
2. S.K. Au Reliability-based design sensitivity by efficient simulation Comput Struct 83 14 2005 1048 1061 (Pubitemid 40423306)
3. S.K. Au, and J.L. Beck Estimation of small failure probabilities in high dimensions by subset simulation Probab Eng Mech 16 4 2001 263 277 (Pubitemid 33018562)
4. S.K. Au, J. Ching, and J.L. Beck Application of subset simulation methods to reliability benchmark problems Struct Safe 29 3 2007 183 193 (Pubitemid 46336640)
5. J.L. Beck, and S.K. Au Reliability of dynamic systems using stochastic simulation C. Soize, G.I. Schuëller, Structural dynamics EURODYN 2005 - Proceedings of the 6th international conference on structural dynamics vol. 1 2005 Millpress Rotterdam, Paris, France 23 30
6. J.F. Bonnans, J.C. Gilbert, C. Lemaréchal, and C.A. Sagastizábal Numerical optimization 2003 Springer-Verlag
7. Chen X, Hasselman TK, Neill DJ. Reliability-based design optimization for practical applications. In: Proceedings of the 38th AIAA structures, structural dynamics, and materials conference, Florida, April 7-10, 1997.
8. J. Ching, and Y.H. Hsieh Approximate reliability-based optimization using a three-step approach based on subset simulation J Eng Mech 133 4 2007 481 493 (Pubitemid 46454879)
9. J. Ching, and Y.H. Hsieh Local estimation of failure probability function and its confidence interval with maximum entropy principle Probab Eng Mech 22 1 2007 39 49 (Pubitemid 44635991)
10. Corotis RB, editor. Special issue on the eighth international conference on structural safety and reliability (ICOSSAR'01). Structural Safety 2002;24(2-4):81-432.
11. O. Ditlevsen, and H.O. Madsen Structural reliability methods 1996 John Wiley and Sons
12. J. Dolbow, and T. Belytschko An introduction to programming the meshless element free Galerkin method Arch Comput Methods Eng 5 3 1998 207 241
13. I. Enevoldsen, and J.D. Sørensen Reliability-based optimization in structural engineering Struct Safe 15 3 1994 169 196
14. A.M. Freudenthal Safety and the probability of structural failure ASCE Trans 121 1956 337 1397
15. M. Gasser, and G.I. Schuëller Reliability-based optimization of structural systems Math Methods Oper Res 46 3 1997 287 307 (Pubitemid 127601490)
16. J.K. Guest, J.H. Prévost, and T. Belytschko Achieving minimum length scale in topology optimization using nodal design variables and projection functions Int J Numer Methods Eng 61 2004 238 254 (Pubitemid 39174684)
17. R.T. Haftka, and Z. Gürdal Elements of structural optimization third ed. 1992 Kluwer
18. J.E. Hurtado An examination of methods for approximating implicit limit state functions from the viewpoint of statistical learning theory Struct Safe 26 3 2004 271 293 (Pubitemid 38301093)
19. J.E. Hurtado Filtered importance sampling with support vector margin: a powerful method for structural reliability analysis Struct Safe 29 1 2007 2 15 (Pubitemid 44464124)
20. J.H. Jacobs, L.F.P. Etman, F. van Keulen, and J.E. Rooda Framework for sequential approximate optimization Struct Multidiscip Optimiz 27 5 2004 384 400
21. H.A. Jensen On the structural synthesis of uncertain systems subjected to environmental loads Struct Multidiscip Optimiz 20 1 2000 37 48
22. H.A. Jensen Structural optimization of linear dynamical systems under stochastic excitation: a moving reliability database approach Comput Methods Appl Mech Eng 194 12-16 2005 1757 1778 (Pubitemid 40262951)
23. H.A. Jensen, and M.A. Catalan On the effects of non-linear elements in the reliability-based optimal design of stochastic dynamical systems Int J Non-Linear Mech 42 5 2007 802 816 (Pubitemid 47016485)
24. H.A. Jensen, M.A. Valdebenito, and G.I. Schuëller An efficient reliability-based optimization scheme for uncertain linear systems subject to general Gaussian excitation Comput Methods Appl Mech Eng 194 1 2008 72 87
25. J. Kanda, and B. Ellingwood Formulation of load factors based on optimum reliability Struct Safe 9 3 1991 197 210
26. B.-S. Kang, G.-J. Park, and J.S. Arora A review of optimization of structures subjected to transient loads Struct Multidiscip Optimiz 31 2 2006 81 95 (Pubitemid 43130320)
27. L.S. Katafygiotis, and S.H. Cheung Application of spherical subset simulation method and auxiliary domain method on a benchmark reliability study Struct Safe 29 3 2007 194 207 (Pubitemid 46336641)
28. L.S. Katafygiotis, and K.M. Zuev Geometric insight into the challenges of solving high-dimensional reliability problems Probab Eng Mech 23 2-3 2008 208 218
29. P.S. Koutsourelakis Design of complex systems in the presence of large uncertainties: a statistical approach Comput Methods Appl Mech Eng 197 49-50 2008 4092 4103
30. H. Kupfer, and A.M. Freudenthal Structural optimization and risk control H. Kupfer, M. Shinozuka, G.I. Schuëller, Proceedings of the 2nd international conference on structural safety and reliability (ICOSSAR'77) 1977 Werner-Verlag Düsseldorf, Munich, Germany 627 639
31. N.C. Lind Approximate analysis and economics of structures ASCE J Struct Div 102 1976 1177 1196 ST6
32. K. Marti, and G. Stoeckl Stochastic linear programming methods in limit load analysis and optimal plastic design under stochastic uncertainty ZAMM 84 10-11 2004 666 677 (Pubitemid 39567687)
33. R.E. Melchers, and M. Ahammed A fast approximate method for parameter sensitivity estimation in Monte Carlo structural reliability Comput Struct 82 1 2004 55 61
34. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, and A.H. Teller Equation of state calculations by fast computing machines J Chem Phys 21 6 1953 1087 1092
35. N. Metropolis, and S. Ulam The Monte Carlo method J Am Statist Assoc 44 247 1949 335 341
36. M. Papadrakakis, and N.D. Lagaros Reliability-based structural optimization using neural networks and Monte Carlo simulation Comput Methods Appl Mech Eng 191 32 2002 3491 3507 (Pubitemid 34811229)
37. M. Papadrakakis, N.D. Lagaros, and V. Plevris Design optimization of steel structures considering uncertainties Eng Struct 27 9 2005 1408 1418 (Pubitemid 40841283)
38. H.J. Pradlwarter, and G.I. Schuëller Equivalent linearization - a suitable tool for analyzing MDOF-systems Probab Eng Mech 8 2 1993 115 126 (Pubitemid 23673509)
39. J.O. Royset, and E. Polak Reliability-based optimal design using sample average approximations Probab Eng Mech 19 4 2004 331 343
40. C.A. Schenk, H.J. Pradlwarter, and G.I. Schuëller On the dynamic stochastic response of FE-models Probab Eng Mech 19 2004 161 170
41. C.A. Schenk, and G.I. Schuëller Uncertainty assessment of large finite element systems 2005 Springer-Verlag Berlin/Heidelberg/New York
42. G.I. Schuëller Computational stochastic dynamics - some lessons learned M. Papadrakakis, D.C. Charmpis, N.D. Lagaros, Y. Tsompanakis, Computational structural dynamics and earthquake engineering Structures and infrastructures series vol. 2 2009 Taylor & Francis 3 20
43. G.I. Schuëller, H.J. Pradlwarter, and P.S. Koutsourelakis A critical appraisal of reliability estimation procedures for high dimensions Probab Eng Mech 19 4 2004 463 474
44. I.M. Sobol' A primer for the Monte-Carlo method 1994 CRC Press BocaRaton, FL
45. J.C. Spall Introduction to stochastic search and optimization Estimation, simulation and control 2003 Wiley
46. A.A. Taflanidis, and J.L. Beck Stochastic subset optimization for optimal reliability problems Probab Eng Mech 23 2-3 2008 324 338
47. S. Ulam On the Monte Carlo method Symposium on large-scale digital calculating machines 1949 1951 Harvard University Press Cambridge, Massachusetts 207 212
48. M.A. Valdebenito, and G.I. Schuëller Efficient strategies for solving reliability-based optimization problems B.H.V. Topping, M. Papadrakakis, 9th international conference on computational structures technology (CST2008; CD-ROM) 2008 Civil-Comp Press Athens, Greece, EU
49. Y.T. Wu Computational methods for efficient structural reliability and reliability sensitivity analysis AIAA J 32 7 1994 1717 1723
50. B.D. Youn, K.K. Choi, and Y.H. Park Hybrid analysis method for reliability-based design optimization J Mech Des 125 2 2003 221 232