Bayesian operational modal analysis: Theory, computation, practice

Computers and Structures

Volumn 126, Issue 1, 2013, Pages 3-14

  Au, Siu Kui ^a   Zhang, Feng Liang ^a   Ni, Yan Chun ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Bayesian method; FFT; Operational modal analysis; System identification

Indexed keywords

BAYESIAN NETWORKS; FAST FOURIER TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; IDENTIFICATION (CONTROL SYSTEMS); MODAL ANALYSIS;

AMBIENT MODAL IDENTIFICATIONS; AMBIENT VIBRATION TEST; BAYESIAN APPROACHES; BAYESIAN METHODS; FIELD APPLICATION; FREQUENCY DOMAIN APPROACHES; MODEL ASSUMPTIONS; OPERATIONAL MODAL ANALYSIS;

COMPUTATION THEORY;

EID: 84885184121     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2012.12.015     Document Type: Article

References (43)

1. Alvin KF, Robertson AN, Reich GW, Park KC. Structural system identification: from reality to models. Comput Struct 2003;81(12):1149-76.
2. Goller B, Broggi M, Calvi A, Schueller GI. A stochastic model updating technique for complex aerospace structures. Finite Elem Anal Des 2011;47:739-52.
3. Ren WX, Peng XL. Baseline finite element modeling of a large span cablestayed bridge through field ambient vibration tests. Comput Struct 2005;83(8- 9):536-50.
4. Yang T, Fang SH, Lin CS. Joint stiffness identification using FRF measurements. Comput Struct 2003;81(28-29):2549-56.
5. Yuen KV, Beck JL, Katafygiotis LS. Efficient model updating and health monitoring methodology using incomplete modal data without mode matching. Struct Control Health Monit 2006;13:91-107. (Pubitemid 43266656)
6. Teughels A, Maeck J, De Roeck G. Damage assessment by FE model updating using damage functions. Comput Struct 2002;80(25):1869-79.
7. Zhu HP, Li L, He XQ. Damage detection method for shear buildings using the changes in the first mode shape slopes. Comput Struct 2011;89(9-10):733-43.
8. Lam HF, Yin T. Statistical detection of multiple cracks on thin plates utilizing dynamic response. Eng Struct 2010;32:3145-52.
9. Yuen KV, Au SK, Beck JL. Two-stage structural health monitoring approach for phase i benchmark studies. J Eng Mech ASCE 2004;130(1):16-33. (Pubitemid 38135600)
10. Ivanovic SS, Trifunac MD, Todorovska MI. Ambient vibration tests of structures - A review ISET. J Earthquake Technol 2000;37(4):165.
11. Brownjohn JMW, Magalhaes F, Caetano E, Cunha A. Ambient vibration retesting and operational modal analysis of the Humber Bridge. Eng Struct 2003;32(8):2003-18.
12. Smith R, Merello R, Willford M. Intrinsic and supplementary damping in tall buildings. Proc Inst Civ Eng - Struct Build 2010;163(2):111-8.
13. Au SK, Zhang FL. Ambient modal identification of a primary-secondary structure using fast Bayesian FFT method. Mech Syst Signal Process 2012;28:280-96.
14. Au SK, Zhang FL, To P. Field observations on modal properties of two tall buildings under strong wind. J Wind Eng Ind Aerodyn 2012;101:12-23.
15. Au SK, Ni YC, Zhang FL, Lam HF. Full-scale dynamic testing and modal identification of a coupled floor slab system. Eng Struct 2012;37:167-78.
16. James GH, Carne TG, Lauffer JP. The natural excitation technique (NExT) for modal parameter extraction from operating structures. J Anal Exp Modal Anal 1995;10(2):260-77.
17. Peeters B, De Roeck G. Stochastic system identification for operational modal analysis: a review. J Dyn Syst Meas Control 2001;123:659-67. (Pubitemid 33715996)
18. Brincker R, Zhang L, Anderson P. Modal identification of output-only systems using frequency domain decomposition. Smart Mater Struct 2001;10(3):441-55.
19. Magalhaes F, Cunha A. Explaining operational modal analysis with data from an arch bridge. Mech Syst Signal Process 2011;25:1431-50.
20. Cox RT. The algebra of probable inference. Baltimore: Johns Hopkins Press; 1961.
21. Jaynes ET. Probability theory: The logic of science. England: Cambridge University Press; 2003.
22. Beck JL. Bayesian system identification based on probability logic. Struct Control Health Monit 2010;17(7):825-47.
23. Yuen KV. Bayesian methods for structural dynamics and civil engineering. John Wiley & Sons; 2010.
24. Lutes DL, Sarkani S. Stochastic analysis of structural and mechanical vibrations. New Jersey: Prentice Hall; 1997.
25. Koruk H, Sanliturk KY. Damping uncertainty due to noise and exponential windowing. J Sound Vib 2011;330(23):5690-706.
26. Fladung W, Rost R. Application and correction of the exponential window for frequency response functions. Mech Syst Signal Process 1997;11(1):23-36. (Pubitemid 127401943)
27. Jokinen H, Ollila J, Aumala O. On windowing effects in estimating averaged periodograms of noisy signals. Measurement 2000;28:197-207.
28. Yuen KV, Katafygiotis LS. Bayesian time-domain approach for modal updating using ambient data. Probab Eng Mech 2001;16(3):219-31. (Pubitemid 32535353)
29. Yuen KV, Kuok SC. Bayesian methods for updating dynamic models. Appl Mech Rev 2011;64(1):010802-1-010802-18.
30. Yuen KV, Katafygiotis LS. Bayesian Fast Fourier Transform approach for modal updating using ambient data. Adv Struct Eng 2003;6(2):81-95.
31. Au SK. Fast Bayesian FFT method for ambient modal identification with separated modes. J Eng Mech ASCE 2011;137(3):214-26.
32. Zhang FL, Au SK. 'Erratum for "Fast Bayesian FFT method for ambient modal identification with separated modes" by S. K. Au.' Journal of Engineering Mechanics, ASCE; in press. http://dx.doi.org/10.1061/(ASCE)EM.1943- 7889.0000501.
33. Au SK. Fast Bayesian ambient modal identification in the frequency domain. Part I: posterior most probable value. Mech Syst Signal Process 2012;26:60-75.
34. Au SK. Fast Bayesian ambient modal identification in the frequency domain. Part II: posterior uncertainty. Mech Syst Signal Process 2012;26:76-90.
35. Schoukens J, Pintelon R. Identification of linear systems: a practical guideline for accurate modelling. London: Pergamon Press; 1991.
36. Yuen KV, Katafygiotis LS, Beck JL. Spectral density estimation of stochastic vector processes. Probab Eng Mech 2002;17(3):265-72. (Pubitemid 34772602)
37. Box GEP, Jenkins GM, Reinsel GC. Time series analysis: forecasting and control. Prentice Hall; 1994.
38. Torvik PJ. On estimating system damping from frequency response bandwidths. J Sound Vib 2011;330:6088-97.
39. Au SK, Zhang FL. On assessing posterior mode shape uncertainty in ambient modal identification. Probab Eng Mech 2011;26(3):427-34.
40. Au SK. Assembling mode shapes by least squares. Mech Syst Signal Process 2011;25(1):163-79.
41. Zhang FL. Bayesian ambient modal identification with multiple setups. PhD thesis. Department of Civil and Architectural Engineering, City University of Hong Kong; 2011.
42. Au SK, Zhang FL. Fast Bayesian ambient modal identification incorporating multiple setups. J Eng Mech ASCE 2012;138(7):800-15.
43. Au SK. Connecting Bayesian and frequentist quantification of parameter uncertainty in system identification. Mech Syst Signal Process 2012;29:328-42.