Reliability estimation for time-dependent problems using a niching genetic algorithm

2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007

Volumn 6 PART B, Issue , 2008, Pages 1119-1133

  Li, Jing ^a   Mourelatos, Zissimos P ^a  

^a Oakland University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

(E ,3E) PROCESS; CANTILEVER PLATES; CORRELATION ANALYSIS; DESIGN AUTOMATION CONFERENCE (DAC); FINITE ELEMENT (FE) MODELING; GLOBAL LOCAL; GRADIENT BASED OPTIMIZER; INTERNATIONAL DESIGNS; LIMIT STATES; LOOP OPTIMIZATIONS; META-MODELS; MULTIPLE SOLUTIONS; OSCILLATING PRESSURE; OUTER LOOP; PARAMETERIZED; POINT LOADS; PROBABILITY OF FAILURE (POF); RELIABILITY ANALYSIS METHOD; RELIABILITY ESTIMATION; SYSTEM FAILURE PROBABILITY; SYSTEM RESPONSES; TECHNICAL CONFERENCES; TIME DEPENDENT PROBLEMS; TIME DEPENDENT SYSTEMS; VIBRATION PROBLEMS; VIBRATION RESPONSES;

AEROSPACE APPLICATIONS; ALGORITHMS; ARCHITECTURAL DESIGN; AUTOMATION; BISMUTH; BOOLEAN FUNCTIONS; COMPUTER AIDED DESIGN; COMPUTER NETWORKS; COMPUTERS; DIESEL ENGINES; ENGINEERING; ESTIMATION; EVOLUTIONARY ALGORITHMS; FINITE ELEMENT METHOD; GENETIC ALGORITHMS; INDUSTRIAL ENGINEERING; INTEGER PROGRAMMING; KETONES; LATTICE VIBRATIONS; LOADS (FORCES); MATHEMATICAL MODELS; MECHANIZATION; MOBILE TELECOMMUNICATION SYSTEMS; PROBABILITY; RANDOM PROCESSES; RELIABILITY; RELIABILITY ANALYSIS; RISK ASSESSMENT; ROBOTICS; SAFETY ENGINEERING; SCHEDULING ALGORITHMS; SYSTEMS ENGINEERING; TECHNOLOGY; UNCERTAINTY ANALYSIS; VIBRATIONS (MECHANICAL); VIBRATORS;

QUALITY ASSURANCE;

EID: 44949162038     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2007-34865     Document Type: Conference Paper

References (51)

1. Andrieu-Renaud, C., Sudret, B. and Lemaire, M., (2004), "The PHI2 Method: A Way to Compute Time-Variant Reliability," Reliability Engineering and System Safety, 84, 75-86.
2. Breitung, K., (1984), "Asymptotic Approximations for Multinormal Integrals, "Journal of Engineering Mechanics, 110(3), 357-366.
3. Brits, R., Engelbrecht, A. P., and van den Bergh, F. (2002), "A Niching Particle Swarm Optimizer," Proceedings of the 4th Asia-Pacific Conference on Simulated Evolution and Learning (SEAL 2002), 692-696.
4. Bucher, C. G., (1988), "Adaptive Sampling - An Iterative Fast Monte Carlo Procedure," Structural Safety, 5, 119-126.
5. Cai, G.Q., and Elishakoff, I., (1994), "Refined Second-Order Reliability Analysis," Structural Safety, 2, 267-276.
6. Castanier, M.P., Tan, Y.-C. and Pierre, C., (2001), "Characteristic Constraint Modes for Component Mode Synthesis," AIAA Journal, 39(6), 1182-1187.
7. Cavicchio, D. J., (1970), "Adaptive Search Using Simulated Evolution," PhD thesis, University of Michigan.
8. Cazuguel, M., Renaud, C. and Cognard, J.Y., (2006), "Time-variant Reliability of Nonlinear Structures: Application to a Representative Part of a Plate Floor," Quality and Reliability Engineering International, 22, 101-118.
9. Cornell, C. A., (1967), "Bounds on the Reliability of Structural Systems," Journal of Structural Division, 93 ST1, 171-200.
10. Craig, R.R. and Bampton, M.C.C., (1968), "Coupling of Substructures for Dynamic Analyses," AIAA Journal, 6(7), 1313-1319.
11. Chen, S., Nikolaidis, E. and Cudney, H. H., (1999), "Comparison of Probabilistic and Fuzzy Set Methods for Designing under Uncertainty", Proceedings, AIAA/ASME/ASCE/AHS/ASCE Structures, Structural Dynamics, and Materials Conference and Exhibit, 2860-2874.
12. De Jong, K.A., (1975), "An Analysis of the Behavior of a Class of Genetic Adaptive Systems," Technical report, University Microfilms No. 76-9381, Doctoral dissertation, University of Michigan.
13. Der Kiureghian, A. and Dakessian, T., (1998), "Multiple Design Points in First and Second-Order Reliability", Structural Safety, 20(1), 37-49.
14. Der Kiureghian, A., Lin, L. Z. and Hwang, S. J., (1987), "Second-Order Reliability Approximation", Journal of Engineering Mechanics, ASCE, 113(8), 1208-25.
15. Ditlevsen, O., (1979), "Narrow Reliability Bounds for Structural Systems," Journal of Structural Mechanics, 7 (4), 453-472.
16. Ditlevsen, O. and Bjerager, P., (1987), "Plastic Reliability Analysis by Directional Simulation", DCAMM Report, 353, Technical University of Denmark, Lyngby, Denmark.
17. Ditlevsen, O. and Madsen, H.O., (1996), Structural Reliability Methods, John Wiley & Sons, New York.
18. Du, X. and Chen, W., (2001), "A Most Probable Point Based Method for Uncertainty Analysis," Journal of Design and Manufacturing Automation, 4(1), pp. 47-66.
19. Engelung, S., Rackwitz, R. and Lange, C., (1995), "Approximations of First Passage Times for Differentiable Processes Based on Higher Order Threshold Crossings," Probabilistic Engineering Mechanics, 10(1), 53-60.
20. Fu, G. and Moses, F., (1993), "Multimodal Simulation Method for System Reliability Analysis", Journal of Engineering Mechanics, 119(6), 1173-1179.
21. nd International Conference on Genetic Algorithms on Genetic Algorithms and Their Application, 41-49.
22. Gollwitzer, S. and Rackwitz, R., (1988), "An Efficient Numerical Solution to the Multinormal Integral," Probabilistic Engineering Mechanics, 3(2), 98-101.
23. Hagen, O. and Tvedt, L., (1991), "Vector Process Out-Crossing as parallel System Sensitivity Measure," ASCE Journal of Engineering Mechanics, 121 ( 10), 2201-2210.
24. Hasofer, A.M. and Lind, N.C., (1974), "Exact and Invariant Second-Moment Code Format," Journal of Engineering Mechanics Division, ASCE, 100(1), 111-121.
25. Horn, J., (1997), "The Nature of Niching: Genetic Algorithms and the Evolution of Optimal Cooperative Populations," Doctoral Dissertation, University of Illinois at Urbana-Champaign.
26. Houck, C.R., Joines, J.A., Kay, M.G., (1998), Genetic Algorithm Optimization Tooblox (GAOT) for MATLAB 5. Available: http://www.ie.ncsu.edu/ mirage/GAToolBox/gaot/.
27. Karamchandani, A., Bjerager, P. and Cornell, C.A., (1989), "Adaptive Importance Sampling," 5th International Conference on Structural Safety and Reliability, (Eds. Ang, A. H.-S., Shinozuka, M. and Schueller, G. I.), ASCE, 855-862, New York.
28. Lee, S-Y, (2006), "Efficient Probabilistic Vibration Analysis of Complex Structures Using Substructuring and Reliability Techniques," Ph.D dissertation, Department of Mechanical Engineering, University of Michigan.
29. Mahadevan, S., and Shi, P., (2001), "Multiple Linearization Method for Nonlinear Reliability Analysis", Journal of Engineering Mechanics, ASCE, 127(11), 1165-1173.
30. Melchers, R.E., (1989), "Importance Sampling in Structural Systems," Structural Safety, 6, 3-10.
31. Melchers, R. E., (2001), Structural Reliability Analysis and Prediction, John Wiley & Sons.
32. Miller, B.L., and Shaw, M.J., (1996), "Genetic Algorithms with Dynamic Niche Sharing for Multimodal Function Optimization," Proceedings of the 1996 IEEE International Conference on Evolutionary Computation (ICEC'96). IEEE; New York. NY, USA.
33. Rackwitz, R., (1998), "Computational Techniques in Stationary and Non-Stationary Load Combination - A Review and Some Extensions," Journal of Structural Engineering, 25(1), 1-20.
34. Rackwitz, R. and Fiessler, B., (1978), "Structural Reliability under Combined Random Load Sequences," Computer and Structures, 9(5), 484-494.
35. Sareni, B., and Krahenbuhl, L., (1998), "Fitness Sharing and Niching Methods Revisited," IEEE Transactions on Evolutionary Computation, 2(3), 97-106.
36. Schall, G., Faber, M.H. and Rackwitz, R., (1991), "The Ergodicity Assumption for Sea States in the Reliability Estimation of Offshore Structures," Journal of Offshore Mechanics and Arctic Engineering, 113, 241-246.
37. Schueller, G.I., (1997), "A State-of-the-art Report on Computational Stochastic Mechanics," Probabilistic Engineering Mechanics, 12(4), 197-321.
38. Schueller, G I., Pradlwarter, H. J. and Bucher, C. G., (1991), "Efficient Computational Procedures for Reliability Estimate of MDOF-Systems", International Journal of Nonlinear Mechanics, 26 (6), 961-974.
39. Schueller, G. I. and Stix, R., (1987), "A Critical Appraisal of Methods to Determine Failure Probabilities," Structural Safety, 4 (4), 193-209.
40. Shan, S. and Wang, G., (2006), "Failure Surface Frontier for Reliability Assessment of Expensive Performance Functions," ASME Journal of Mechanical Design, 128, 1227-1232.
41. Singh, G. and Deb, K., (2006), "Comparison of multi-modal optimization algorithms based on evolutionary algorithms," Proceedings of the 8th annual conference on Genetic and evolutionary computation, Seattle, Washington, USA.
42. Shinozuka, M., (1964), "Probability of Failure under Random Loading," ASCE Journal of Engineering Mechanics, 90, 147-171.
43. Shir, O.M. (2004), "Niching in Evolution Strategies," M.S. Thesis, Leiden University.
44. Sudret, B. and Der Kiureghian, A., (2000), "Stochastic Finite Element Methods and Reliability. A State-of-the-art Report," Report UCB/SEMM-2000/08, University of California, Berkeley.
45. Tvedt, L., (1990), "Distribution of Quadratic Forms in Normal Space-Application to Structural Reliability," Journal of Engineering Mechanics, 116(6): 1183-1197.
46. Wirsching, PH., Paez, T.L., and Ortiz, H., (1995), "Random Vibrations: Theory and Practice", John Wiley & Sons, Inc., New York.
47. Wu, Y.-T., (1994), "Computational Methods for Efficient Structural Reliability and Reliability Sensitivity Analysis," AIAA Journal, 32(8), 1717-1723.
48. Wu, Y.-T., (1998), "Methods for Efficient Probabilistic Analysis of System with Large Numbers of Random Variables, " 7Th AIAA/USAF/NASA/ ISSMO Symposium on Multidisciplinary Analysis Optimization, September 15-18, 1998, St. Louis, MO, Paper No. AIAA 98-4908.
49. Zaharie, D., (2004), "A Multipopulation Differential Evolution Algorithm for Multimodal Optimization," in Matousek, R., Osmera, P. (eds.), Proc. of Mendel 2004, 10th International Conference on Soft Computing, Brno.
50. Zhao, Y. and Ono, T., (1999), "A General Procedure for First/Second-Order Reliability Method (FORM/SORM)," Structural Safety, 21(2), 95-112.
51. Zou, T., Mourelatos, Z.P., Hahadevan, S., and Tu., J., (2003), "An Indicator Response Surface-Based Monte Carlo Method for Efficient Component and System Reliability Analysis," Proceedings of DETC'03 ASME 2003 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, Illinois USA, September 2-6.