Time-variant reliability-based structural optimization using SORM

Optimization

Volumn 47, Issue 3-4, 2000, Pages 349-368

  Kuschel, Norbert ^a   Rackwitz, Rüdiger ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

One level optimization; Outcrossing rates; Random processes; Reliability oriented structural optimization; Time invariant and time variant structural reliability

Indexed keywords

EID: 0004269679     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. Belyaev, Y. K. (1968). On the Number of Exits across the Boundary of a Region by a Vector Stochastic Process, Theoretical Probability Application, 13, 320-324.
2. Bolotin, V. V. (1981). Wahrscheinlichkeitsmethoden zur Berechnung von Konstruktionen, VEB Verlag für Bauwesen, Berlin.
3. Breitung, K. (1984). Asymptotic Approximations for Multinormal Integrals, Journal of the Engineering Mechanics Div., 110(3), 357-366.
4. Breitung, K. (1988). Asymptotic Approximations for the Outcrossing Rates of Stationary Vector Processes, Stochastic Processes and their Applications, 29, 195-207.
5. Breitung, K. (1993). Asymptotic Approximations for the Crossing Rates of Poisson Square Waves, Proc. Extreme Value Theory and App., Nist Sprc. Publ. 866, 3, 75-88.
6. Breitung, K. and Rackwitz, R. (1982). Nonlinear Combination of Load Processes, Journal of Structural Mechanics, 10(2), 145-166.
7. Cramer, H. and Leadbetter, M. R. (1967). Stationary and Related Processes, Wiley & Sons, New/York.
8. Der Kiureghian, A. and Liu, P. L. (1986). Structural Reliability under Incomplete Probability Information, Journal of Engineering Mechanics, ASCE, 112(1), 85-104.
9. Der Kiureghian, A. and Polak, E. (1998). Reliability-Based Optimal Structural Design: A Decoupled Approach, Reliability and Optimization of Structural Systems, Proceedings of the 8th IFIP W67.5 Conference, The University of Michigan, Aun Arbor, pp. 197-205.
10. Engelund, S., Rackwitz, R. and Lange, C. (1995). Approximations of First Passage Times for Differentiable Processes Based on Higher Order Threshold Crossings, Prob. Eng. Mech., 10(1), 53-60.
11. Gasser, M. and Schueller, G. I. (1997). Reliability-Based Optimization of Structural Systems, Mathematical Methodes of Operations Research, 46(3), 287-308.
12. Hasofer, A. M. (1974). Short Communications Design for Infrequent Overloads, Earthquake Engineering and Structural Dynamics, 2, 287-389.
13. Hasofer, A. M. and Lind NC, N. C. (1974). An Exact and Invariant First Order Reliability Format, Journal of Engineering Mechanics Division, ASCE, 100(EM1), 111-121.
14. Hohenbichler, M. and Rackwitz, R. (1981). Non-Normal Dependent Vectors in Structural Safety, Journal of Engineering Mechanics, ASCE, 107(6), 1227-1249.
15. Kuschel, N. and Rackwitz, R. (1997). Two Basic Problems in Reliability-Based Structural Optimization, Mathematical Methodes of Operations Research, 46(3), 309-333.
16. Kuschel, N. and Rackwitz, R. (1998). Design for Optimal Reliability, Proceedings of ICOSSAR '97, Structural Safety and Reliability (Eds. Shiraishi, S., Shinozuka, M. and Wen, Y. K.), A. A. Balkema, Rotterdam, pp. 1077-1085.
17. Kuschel, N. and Rackwitz, R. (1998). Structural Optimization under Time-Variant Reliability Constraints, Reliability and Optimization of Structural Systems, Proceedings of the 8th IFIPWG 7.5 Conference, The University of Michigan, Aun Arbor, pp. 27-38.
18. Pedersen, C. and Thoft-Christensen, P. (1995). Interactive Structural Optimization with Quasi-Newton-Algorithms, Reliability and Optimization of Structural Systems, Proceedings of the 6th IFIP WG 7.5 Conference, Chapman & Hall, London, pp. 225-232.
19. Polak, E., Kirjner-Neto, C. and Der Kiureghian, A. (1997). Structural Optimization With Reliability Constraints, Reliability and Optimization of Structural Systems, Proceedings of the 7th IFIP WG 7.5 Conference, Pergamon, New York, pp. 289-296.
20. Rackwitz, R. and Fiessler, B. (1978). Structural Reliability under Combined Random Load Sequences, Comp. & Struct., 9, 484-494.
21. Rice, S. O. (1944 and 1945). Mathematical Analysis of Random Noise, Bell System Technical Journal, 32, 282 and
22. Rice, S. O. (1944 and 1945). Bell System Technical Journal, 25, 46.
23. Rosenblueth, E. and Mendoza, E. (1971). Reliability optimization in Isostatic Structures, Journal of the Engineering Mechanics Division, ASCE, 97(EM6), 1625-1642.
24. Rosenblueth, E. (1976). Optimum Design for Infrequent Disturbances, Journal of the Structural Division, ASCE, 102(ST9), 1807-1825.
25. Schall, G., Faber, M. and Rackwitz, R. (1991). The Ergodicity Assumption for Sea States in the Reliability Assessment of Offshore Structures, Journal of Offshore Mechanics and Arctic Engineering, ASME, 112(3), 241-246.
26. Schittkowski, K. (1985). User's Guide for Nonlinear Programming Code, Handbook to optimization program package NLPQL, University of Stuttgart (Germany) - Institute for informatics.
27. Shinozuka, M. (1964). Probability of Failure under Random Loading, Journal of Engineering Mechanics Div., ASCE, 90(EM5), 147-170.
28. Shinozuka, M. (1981). Stochastic Characterization of Loads and Load Combinations, Proceedings of 3rd ICOSSAR '81, Structural Safety and Reliability (Eds. Moan, T. and Shinozuka, M.), Elsevier, Amsterdam, pp. 57-76.
29. Veneziano, D., Grigoriu, M. and Cornell, C. A. (1977). Vector-Process Models for System Reliability, Journal of Engineering Mechanics Div., ASCE, 103(EM3), 441-460.
30. Winterstein, S. R. and Bjerager, P. (1987). The Use of Higher Moments in Reliability Estimation, Proceedings ICASP 5, International Conference on Applica-tions of Statistics and Probability in Soil and Structural Engineering, 2, 1027-1036.