Fast Bayesian FFT Method for Ambient Modal Identification with Separated Modes

Journal of Engineering Mechanics

Volumn 137, Issue 3, 2011, Pages 214-226

  Au, Siu Kui ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Bayesian analysis; Field tests; Modal analysis; Spectral analysis

Indexed keywords

ASYMPTOTIC BEHAVIORS; BAYESIAN; BAYESIAN ANALYSIS; BAYESIAN THEORY; EFFICIENT METHOD; FAST COMPUTATION; FIELD TEST; FREQUENCY DOMAINS; HIGH SIGNAL-TO-NOISE RATIO; ILL-CONDITIONED MATRIX; MATHEMATICAL STRUCTURE; MEASURED CHANNEL; MEASUREMENT CHANNELS; MODAL IDENTIFICATION; MODAL PARAMETERS; MODAL PROPERTIES; NUMERICAL OPTIMIZATIONS; OBJECTIVE FUNCTIONS; REALISTIC APPLICATIONS; SIGNAL TO NOISE; SPECTRAL ANALYSIS;

ALGORITHMS; BAYESIAN NETWORKS; COMPUTATIONAL EFFICIENCY; COVARIANCE MATRIX; FADING (RADIO); FAST FOURIER TRANSFORMS; METADATA; SIGNAL TO NOISE RATIO; SPECTRUM ANALYSIS; STATISTICAL TESTS;

MODAL ANALYSIS;

BAYESIAN ANALYSIS; FOURIER TRANSFORM; OPTIMIZATION; SIGNAL-TO-NOISE RATIO; SPECTRAL ANALYSIS;

EID: 79952348080     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)EM.1943-7889.0000213     Document Type: Article

References (23)

1. Aoki M. State space modeling of time series 1987, Springer, Berlin.
2. Au S.K. Zhang F.L. On assessing posterior mode shape uncertainty in ambient modal identification. Probab. Eng. Mech. 2011, PEMEEX, 0266-8920, doi:10.1016/j.probengmech.2010.11.009., and in press.
3. Beck J.L. Katafygiotis L.S. Updating models and their uncertainties. I: Bayesian statistical framework. J. Eng. Mech. 1998, 124(4):455-461. JENMDT, 0733-9399, 10.1061/(ASCE)0733-9399(1998)124:4(455), and.
4. Brincker R. Zhang L. Anderson P. Modal identification of output-only systems using frequency domain decomposition. Smart Mater. Struct. 2001, 10(3):441-455. SMSTER, 0964-1726, 10.1088/0964-1726/10/3/303, and.
5. Brownjohn J.M.W. Ambient vibration studies for system identification of tall buildings. Earthquake Eng. Struct. Dyn. 2003, 32:71-95. IJEEBG, 1096-9845, 10.1002/eqe.215.
6. Campbell S. Kwok K.C. S. Hitchcock P.A. Tse K.T. Leung H.Y. Field measurements of natural periods of vibration and structural damping of wind-excited tall residential buildings. J. Wind Eng. Ind. Aerodyn. 2007, 10(5):401-420. JWEAD6, 0167-6105, and.
7. Cox R.T. The algebra of probable inference 1961, Johns Hopkins, Baltimore.
8. Dallard P. Fitzpatrick A.J. Le Bourva S. Ridsdill R.M. Willford M. The London Millennium footbridge. J. Struct. Eng. 2001, 79(22):17-33. JSENDH, 0970-0137, and.
9. Ewins D. Modal testing 2000, 2nd Ed., Research Studies Press, Baldock.
10. Hudson D.E. Dynamic tests of full-scale structures. J. Eng. Mech. Div., 1977, 103(6):1141-1157. JMCEA3, 0044-7951.
11. James G.H. Carne T.G. Lauffer J.P. The natural excitation technique (NExT) for modal parameter extraction from operating structures. Int. J. Anal. Exp. Modal Anal. 1995, 10(2):260-277. IJAAEL, 0886-9367, and.
12. Jaynes E.T. Probability theory: The logic of science 2003, Cambridge University Press, UK.
13. Juan J.N. Applied system identification 1994, Prentice-Hall, Upper Saddle River, NJ.
14. Kohler M.D. Davis P.M. Safak E. Earthquake and ambient vibration monitoring of the steel-frame UCLA Factor Building. Earthquake Spectra 2005, 21(3):715-736. EASPEF, 8755-2930, 10.1193/1.1946707, and.
15. Kohler M.D. Heaton T.H. Bradford S.C. Propagating waves in the steel, moment-frame factor building recorded during earthquakes. Bull. Seismol. Soc. Am. 2007, 97(4):1334-1345. 10.1785/0120060148, and.
16. Papadimitriou C. Beck J.L. Katafygiotis L.S. Updating robust reliability using structural test data. Probab. Eng. Mech. 2001, 16(2):103-113. PEMEEX, 0266-8920, 10.1016/S0266-8920(00)00012-6, and.
17. Pappa R.S. Elliott K.B. Schenk A. Consistent-mode indicator for the eigensystem realization algorithm. J. Guid. Control. Dyn. 1993, 16(5):852-858. JGCDDT, 0162-3192, 10.2514/3.21092, and.
18. Peeters B. De Roeck G. Stochastic system identification for operational modal analysis: A review. J. Dyn. Syst., Meas., Control 2001, 123:659-667. JDSMAA, 0022-0434, 10.1115/1.1410370, and.
19. Reynders E. Pintelon R. De Roeck G. Uncertainty bounds on modal parameters obtained from stochastic subspace identification. Mech. Syst. Signal Process. 2007, 22:948-969. 0888-3270, and.
20. Skolnik D. Lei Y. Yu E. Wallace J.W. Identification, model updating, and response prediction of an instrumented 15-story steel-frame building. Earthquake Spectra 2006, 22(3):781-802. EASPEF, 8755-2930, 10.1193/1.2219487, and.
21. Yuen K.V. Structural modal updating using ambient dynamic data. 1999, M. Phil. thesis, Dept. of Civil Engineering, Hong Kong Univ. of Science and Technology, Hong Kong.
22. Yuen K.V. Katafygiotis L.S. Beck J.L. Spectral density estimation of stochastic vector processes. Probab. Eng. Mech. 2002, 17(3):265-272. PEMEEX, 0266-8920, 10.1016/S0266-8920(02)00011-5, and.
23. Yuen K.V. Katafygiotis L.S. Bayesian fast Fourier transform approach for modal updating using ambient data. Adv. Struct. Eng. 2003, 6(2):81-95. 10.1260/136943303769013183, 1369-4332, and.