Structural damage detection and assessment by adaptive Markov chain Monte Carlo simulation

Structural Control and Health Monitoring

Volumn 11, Issue 4, 2004, Pages 327-347

  Yuen, Ka Veng ^a   Beck, James L ^b   Au, Siu Kui ^c  

^a UNIVERSITY OF MACAU   (Macao)

^b California Institute of Technology   (United States)

^c NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Bayesian updating; Damage assessment; Damage detection; Failure probability; Markov chain Monte Carlo simulation; Structural reliability

Indexed keywords

ALGORITHMS; INFORMATION ANALYSIS; MARKOV PROCESSES; MONTE CARLO METHODS; PARAMETER ESTIMATION; PROBABILITY; RELIABILITY; STIFFNESS; STRUCTURAL ANALYSIS;

BAYESIAN UPDATING; DAMAGE ASSESSMENT; DAMAGE DETECTION; FAILURE PROBABILITY; MARKOV CHAIN MONTE CARLO SIMULATION; STRUCTURAL RELIABILITY;

COMPUTER AIDED ENGINEERING;

EID: 13244299155     PISSN: 15452255     EISSN: None     Source Type: Journal    
DOI: 10.1002/stc.47     Document Type: Article

References (36)

1. Natke HG, Yao JTP (eds). Proceedings of the Workshop on Structural Safety Evaluation Based on System Identification Approaches. Vieweg and Sons: Wiesbaden, 1988.
2. Agbabian MS, Masri SF (eds). Proceedings of the International Workshop on Nondestructive Evaluation for Performance of Civil Structures. Department of Civil Engineering, University of Southern California, Los Angeles, CA, 1988.
3. Chang FK (ed.). Proceedings of the 3rd International Workshop on Structural Health Monitoring. Stanford University, 2001.
4. Mazurek DF, DeWolf JT. Experimental study of bridge monitoring technique. Journal of Structural Engineering 1990; 116(9):2532-2549.
5. Hearn G, Testa RB. Model analysis for damage detection in structures. Journal of Structural Engineering 1991; 117(10):3042-3063.
6. Lam HF, Ko JM, Wong CW. Localization of damaged structural connections based on experimental modal and sensitivity analysis. Journal of Sound and Vibration 1998; 210(1):91-115.
7. Kim HM, Bartkowicz TJ. Damage detection and health monitoring of large space structures. Journal of Sound and Vibration 1993: 27(6):12-17.
8. Kim HM, Bartkowicz TJ, Smith SW, Zimmerman D. Health monitoring of large structures. Journal of Sound and Vibration 1995; 29(4): 18-21.
9. Topole KG. Stubbs N. Non-destructive damage evaluation in complex structures from a minimum of modal parameters. International Journal of Analytical and Experimental Modal Analysis 1995; 10(2):95-103.
10. Farhat C, Hemez FM. Updating finite element dynamics models using element-by-element sensitivity methodology. AIAA Journal 1993; 31(9):1702-1711.
11. Hemez FM, Farhat C. Structural damage detection via a finite element model updating methodology. International Journal of Analytical and Experimental Modal Analysis 1995; 10(3): 152-166.
12. Pandey AK, Biswas M. Damage detection in structures using changes in flexibility. Journal of Sound and Vibration 1994; 169:3-17.
13. Pandey AK, Biswas M. Experimental verification of flexibility difference method for locating damage in structures. Journal of Sound and Vibration 1995; 184:311-328.
14. Beck JL, Katafygiotis LS. Updating models and their uncertainties. I: Bayesian statistical framework. ASCE Journal of Engineering Mechanics 1998: 124(4):455-461.
15. Katafygiotis LS, Papadimitriou C, Lam HF. A probabilistic approach to structural model updating. Soil Dynamics and Earthquake Engineering 1998; 17(7-8):495-507.
16. Vanik MW, Beck JL, Au SK. Bayesian probabilistic approach to structural health monitoring. ASCE Journal of Engineering Mechanics 2000; 126(7):738-745.
17. Beck JL, Au SK, Vanik MW. Monitoring structural health using a probabilistic measure. Computer-Aided Civil and Infrastructure Engineering 2001; 16:1-11.
18. Yuen K-V, Au SK, Beck JL. Two-stage structural health monitoring methodology and results for phase I benchmark studies. ASCE Journal of Engineering Mechanics 2004: 130(1):16-33.
19. Doebling SW, Farrar CR, Prime MB, Shevitz DW. Damage identification and health monitoring of structural and mechanical systems from change in their vibrations characteristics: A literature review. Technical Report LA-13070-MS. Los Alamos National Laboratory, 1996.
20. Beck JL, Yuen K-V. Model selection using response measurements: Bayesian probabilistic approach. ASCE Journal of Engineering Mechanics 2004; 130(2): 192-203.
21. Papadimitriou C, Beck JL, Katafygiotis LS. Updating robust reliability using structural test data. Probabilistic Engineering Mechanics 2001; 16(2):103-113.
22. Katafygiotis LS, Beck JL. Updating models and their uncertainties. II: Model identifiability. ASCE Journal of Engineering Mechanics 1998; 124(4):463-467.
23. Papadimitriou C, Beck JL, Katafygiotis LS. Asymptotic expansions for eliability and moments of uncertain systems. ASCE Journal of Engineering Mechanics 1997; 123(12):1219-1229.
24. Au SK, Papadimitriou C, Beck JL. Reliability of uncertain dynamical systems with multiple design points. Structural Safety 1999; 21:113-133.
25. Beck JL, Au SK. Bayesian updating of structural models and reliability using Markov chain Monte Carlo simulation. ASCE Journal of Engineering Mechanics 2002; 128(4):380-391.
26. Hammersley JM, Handscomb DC. Monte-Carlo Methods. Methuen: London, 1964.
27. Fishman GS. Monte Carlo: Concepts, Algorithms, and Applications. Springer Series in Operations Research. Springer: New York, 1996.
28. Johnson EA, Lam HF, Katafygiotis LS, Beck JL. The Phase 1 IASC-ASCE structural health monitoring benchmark problem using simulated data. ASCE Journal of Engineering Mechanics 2004; 130(1):3-15.
29. Metropolis N, Rosenbluth AW. Rosenbluth MN, Teller AH. Equations of state calculations by fast computing machines. Journal of Chemical Physics 1953; 21(6): 1087-1092.
30. Hastings WK. Monte Carlo sampling methods using Markov chains and their applications. Biometrika 1970; 57: 97-109.
31. Au SK, Beck JL. A new adaptive importance sampling scheme. Structural Safety 1999; 21:135-158.
32. Au SK, Beck JL. Estimation of small failure probabilities in high dimensions by subset simulation. Probabilistic Engineering Mechanics 2001; 16(4):263-277.
33. Silverman BW. Density Estimators. Chapman & Hall: New York, 1986.
34. Doob JL. Stochastic Processes. Wiley: New York, 1953.
35. Veneziano D, Grigoriu M, Cornell CA. Vector-process models from system reliability. ASCE Journal of Engineering Mechanics 1977; 103(EM3): 441-460.
36. Soong TT, Grigoriu M. Random Vibration of Mechanical and Structural Systems. Prentice Hall: New Jersey, 1993.