On assessing the posterior mode shape uncertainty in ambient modal identification

Probabilistic Engineering Mechanics

Volumn 26, Issue 3, 2011, Pages 427-434

  Au, Siu Kui ^a   Zhang, Feng Liang ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Bayesian method; Modal assurance criterion; Modal test; Mode shape

Indexed keywords

AMBIENT VIBRATION TEST; BAYESIAN METHODS; EUCLIDEAN NORM; GLOBAL MEASURES; LOG-LIKELIHOOD FUNCTIONS; MEASURED DATA; MODAL ASSURANCE CRITERION; MODAL IDENTIFICATION; MODAL PARAMETERS; MODAL PROPERTIES; MODAL TEST; MODE SHAPE; MODE SHAPES; POSTERIOR DISTRIBUTIONS; POSTERIOR UNCERTAINTIES; SIGNAL TO NOISE; SUPER-TALL BUILDINGS; WORKING STATE;

BAYESIAN NETWORKS; BRIDGES; COVARIANCE MATRIX; MODAL ANALYSIS; SIGNAL TO NOISE RATIO; STATISTICAL TESTS; TALL BUILDINGS;

UNCERTAINTY ANALYSIS;

EID: 79952081055     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.probengmech.2010.11.009     Document Type: Article

References (15)

1. G.H. James, T.G. Carne, and J.P. Lauffer The natural excitation technique (NExT) for modal parameter extraction from operating structures Journal of Analytical and Experimental Modal Analysis 10 2 1995 260 277
2. B. Peeters, and G. De Roeck Stochastic system identification for operational modal analysis: a review Journal of Dynamical Systems, Measurement, and Control 123 2001 659 667 (Pubitemid 33715996)
3. R. Brincker, L. Zhang, and P. Anderson Modal identification of output-only systems using frequency domain decomposition Smart Materials and Structures 10 3 2001 441 455
4. J.M.W. Brownjohn Ambient vibration studies for system identification of tall buildings Earthquake Engineering and Structural Dynamics 32 2003 71 95 (Pubitemid 36022273)
5. R.T. Cox The algebra of probable inference 1961 Johns Hopkins Baltimore
6. E.T. Jaynes Probability theory: the logic of science 2003 Cambridge University Press UK
7. J.L. Beck, and L.S. Katafygiotis Updating models and their uncertainties. I: Bayesian statistical framework Journal of Engineering Mechanics 124 4 1998 455 461 (Pubitemid 128571487)
8. K.V. Yuen, J.L. Beck, and L.S. Katafygiotis Unified probabilistic approach for model updating and damage detection Journal of Applied Mechanics, ASME 73 4 2006 555 564 (Pubitemid 44531268)
9. K.V. Yuen, and L.S. Katafygiotis Bayesian time-domain approach for modal updating using ambient data Probabilistic Engineering Mechanics 16 2001 219 231 (Pubitemid 32535353)
10. K.V. Yuen, and L.S. Katafygiotis Bayesian fast fourier transform approach for modal updating using ambient data Advances in Structural Engineering 6 2 2003 81 95
11. K.V. Yuen, L.S. Katafygiotis, and J.L. Beck Spectral density estimation of stochastic vector processes Probabilistic Engineering Mechanics 17 3 2002 265 272 (Pubitemid 34772602)
12. C. Papadimitriou, J.L. Beck, and L.S. Katafygiotis Updating robust reliability using structural test data Probabilistic Engineering Mechanics 16 2 2001 103 113 (Pubitemid 32874354)
13. X. Shi, Y. Wu, and Y. Liu A note on asymptotic approximations of inverse moments of nonnegative random variables Statistics and Probability Letters 80 2010 1260 1264
14. Au SK. Fast Bayesian FFT method for ambient modal identification with separated modes. Journal of Engineering Mechanics, ASCE 2011 [in print], doi:10.1061/(ASCE)EM.1943-7889.0000213.
15. S.K. Au Assembling mode shapes by least squares Mechanical Systems and Signal Processing 25 1 2011 163 179