A gradient-free method for determining the design point in nonlinear stochastic dynamic analysis

Probabilistic Engineering Mechanics

Volumn 28, Issue , 2012, Pages 2-10

  Alibrandi, Umberto ^a   Der Kiureghian, Armen ^b  

^a UNIVERSITY OF MESSINA   (Italy)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Dynamics; Hysteresis; Linearization; Model correction; Reliability; Response surface; Stochastic process

Indexed keywords

DESIGN POINTS; HYSTERETIC SYSTEMS; LINEARIZATION METHODS; MODEL-CORRECTION-FACTOR METHODS; MULTI DEGREE-OF-FREEDOM; NONLINEAR STOCHASTIC DYNAMICS; RESPONSE SURFACE; RESPONSE SURFACE TECHNIQUES; STOCHASTIC PROCESS;

DAMPING; DEGREES OF FREEDOM (MECHANICS); DESIGN; DYNAMICS; HYSTERESIS; LINEARIZATION; RANDOM PROCESSES; RANDOM VARIABLES; RELIABILITY; STOCHASTIC SYSTEMS; SURFACE PROPERTIES;

DYNAMIC ANALYSIS;

EID: 84856520733     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.probengmech.2011.08.018     Document Type: Conference Paper

References (32)

1. S.K. Au, and J.L. Beck Estimation of failure probabilities in high dimensions by subset simulation Probabilistic Engineering Mechanics 16 4 2001 263 277 (Pubitemid 33018562)
2. J. Ching, S.K. Au, and J.L. Beck Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting (2005) Computer Methods in Applied Mechanics and Engineering 194 1216 2005 1557 1579 (Pubitemid 40262942)
3. Koo H, Der Kiureghian A. Importance sampling of first-excursion probability of nonlinear systems. In: Der Kiureghian et al., editors. Proceedings of the 9th international conference on applications of statistics and probability in civil engineering. 2003. 1. p. 32936.
4. C. Bucher Probability-based optimal design of friction-based seismic isolation devices Structural Safety 31 2009 500 507
5. H.J. Pradlwarter, G.I. Schueller, and C.A. Schenk A computational procedure to estimate the stochastic response of large non-linear FE models Computer Methods in Applied Mechanics and Engineering 192 78 2003 777 801 (Pubitemid 36225319)
6. A. Naess, and V. Moe Efficient path integration methods for nonlinear dynamic systems Probabilistic Engineering Mechanics 15 2 2000 221 231 (Pubitemid 30558273)
7. Li C-C, Der Kiureghian A. Mean out-crossing rate of nonlinear response to stochastic input. In: Lamaire M., et al., editor. Proceedings of the 5th international conference on applications of statistics and probability in civil engineering, vol. 1. 1995. p. 295302.
8. A. Der Kiureghian The geometry of random vibrations and solutions by FORM and SORM Probabilistic Engineering Mechanics 15 2000 81 90 (Pubitemid 30563001)
9. P. Franchin Reliability of uncertain inelastic structures under earthquake excitation Journal of Engineering Mechanics, ASCE 130 2004 180 191 (Pubitemid 38256728)
10. K. Fujimura, and A. Der Kiureghian Tail-equivalent linearization method for nonlinear random vibration Probabilistic Engineering Mechanics 22 2007 63 76 (Pubitemid 44635992)
11. A. Der Kiureghian, and K. Fujimura Nonlinear stochastic dynamic analysis for performance-based earthquake engineering Earthquake Engineering & Structural Dynamics 38 2009 719 738
12. T.S. Atalik, and S. Utku Stochastic linearization of multi-degree of freedom of nonlinear systems Earthquake Engineering and Structural Dynamics 4 1976 411 420
13. Y.K. Wen Method for random vibration of hysteretic systems Journal of Engineering Mechanics Division, ASCE 102 2 1976 249 263
14. P-L. Liu, and A. Der Kiureghian Optimization algorithms for structural reliability Structural Safety 9 3 1991 161 177
15. Y. Zhang, and A. Der Kiureghian Two improved algorithms for reliability analysis Proceedings of the 6th IFIP WG 7.5 working conference on reliability and optimization of structural systems Assisi, Italy R Rackwitz, G Augusti, A Borri, Reliability and Optimization of Structural Systems 1995 Chapman and Hall 297
16. Y. Zhang, and A. Der Kiureghian Dynamic response sensitivity of inelastic structures Computer Methods in Applied Mechanics and Engineering 108 1 1993 23 36
17. T. Haukaas, and A. Der Kiureghian Strategies for finding the design point in non-linear finite element reliability analysis Probabilistic Engineering Mechanics 21 2006 133 147
18. M. Barbato, and J.P. Conte Finite element structural response sensitivity and reliability analyses using smooth versus non-smooth material constitutive models International Journal of Reliability and Safety 21 2006 330 337
19. Mckenna F, Fenves GL, Scott MH. Open system for earthquake engineering simulation. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA. 2003, http://opensees.berkeley.edu.
20. H. Koo, A. Der Kiureghian, and K. Fujimura Design point excitation for non-linear random vibrations Probabilistic Engineering Mechanics 20 2005 136 147 (Pubitemid 41050703)
21. L. Faravelli Response-surface approach for reliability analysis Journal of Engineering Mechanics 115 1989 2763 2781 (Pubitemid 21685874)
22. C. Bucher, and U. Burgound A fast and efficient response surface approach for structural reliability problems Structural Safety 7 1990 57 66 (Pubitemid 20647315)
23. M.R. Rajashekhar, and B.R. Ellingwood A new look at the response surface approach for reliability analysis Structural Safety 12 1993 205 220
24. O. Ditlevsen, and T. Arnbjerg-Nielsen Model correction factor method in structural reliability Journal of Engineering Mechanics 120 1 1994 1 10
25. Ditlevsen O, Johannesen JM. System reliability analysis by model correction factor method. Sydney, Australia. In: ICASP8: 8th international conference on applications of statistics and probability. 1999, pp. 10118.
26. O. Ditlevsen, and H.O. Madsen Structural reliability methods 1999 Wiley
27. P. Franchin, O. Ditlevsen, and A. Der Kiureghian Model correction factor method for reliability problems involving integrals of non-Gaussian random fields Probabilistic Engineering Mechanics 17 2002 109 122 (Pubitemid 34222257)
28. J.A. Nelder, and R. Mead A simplex method for function minimization Computer Journal 7 1965 308 313
29. L.D. Lutes, and S. Sarkani Random vibrations: analysis of structural and mechanical systems 2004 Elsevier Burlington, MA
30. H.P. Gavin, and S.C. Yau High-order limit state functions in the response surface method for structural reliability analysis Structural Safety 30 2008 162 179 (Pubitemid 350154405)
31. U. Alibrandi, N. Impollonia, and G. Ricciardi Probabilistic eigenvalue buckling analysis solved through the ratio of polynomial response surface Computer Methods in Applied Mechanics and Engineering 199 912 2010 450 464
32. C. Bucher, and T. Most A comparison of approximate response functions in structural reliability analysis Probabilistic Engineering Mechanics 23 23 2008 154 163