ARMAX modal parameter identification in the presence of unmeasured excitation-I: Theoretical background

Mechanical Systems and Signal Processing

Volumn 21, Issue 4, 2007, Pages 1601-1615

  Moore, S M ^a   Lai, J C S ^a   Shankar, K ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

ARMAX; ARX; Modal analysis; Unmeasured excitation

Indexed keywords

ALGORITHMS; ITERATIVE METHODS; MATHEMATICAL MODELS; MODAL ANALYSIS; PARAMETER ESTIMATION; POLYNOMIAL APPROXIMATION; REGRESSION ANALYSIS; VIBRATION MEASUREMENT;

AUTOREGRESSIVE MOVING AVERAGE WITH EXOGENOUS EXCITATION (ARMAX) MODEL; PERIODIC EXCITATIONS; POLYNOMIAL MATRICES; UNMEASURED EXCITATION;

TIME DOMAIN ANALYSIS;

EID: 33846805696     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2006.07.003     Document Type: Article

References (31)

1. Hermans L., and Van der Auweraer H. Modal testing and analysis of structures under operational conditions: industrial applications. Mechanical Systems and Signal Processing 13 (1999) 193-216
2. R. Brincker, N. Møller, (Eds.), Proceedings of the First International Operational Modal Analysis Conference, Copenhagen, Denmark, 2005.
3. Peeters B., and De Roeck G. Stochastic system identification for operational modal analysis: a review. Journal of Dynamic Systems, Measurement, and Control 123 (2001) 659-667
4. Mohanty P., and Rixen D.J. Modified ERA method for operational modal analysis in the presence of harmonic excitations. Mechanical Systems and Signal Processing 20 (2006) 114-130
5. Mohanty P., and Rixen D.J. Operational modal analysis in the presence of harmonic excitation. Journal of Sound and Vibration 270 (2004) 93-109
6. Mohanty P., and Rixen D.J. A modified Ibrahim time domain algorithm for operational modal analysis including harmonic excitation. Journal of Sound and Vibration 275 (2004) 375-390
7. Mohanty P., and Rixen D.J. Modified SSTD method to account for harmonic excitations during operational modal analysis. Mechanism and Machine Theory 39 (2004) 1247-1255
8. R.B. Randall, Y. Gao, J. Swevers, Updating modal models from response measurements, in: Proceedings of the ISMA23, Leuven, Belgium, 1998, pp. 1153-1160.
9. Parloo E., et al. Sensitivity-based operational mode shape normalisation. Mechanical Systems and Signal Processing 16 (2002) 757-767
10. Bernal D. Modal scaling from known mass perturbations. Journal of Engineering Mechanics 130 (2004) 1083-1088
11. S.M. Moore, J.C.S. Lai, K. Shankar, ARMAX modal parameter identification in the presence of unmeasured excitation-II: Numerical and experimental verification, Mechanical Systems and Signal Processing, (2006) doi:10.1016/j.ymssp.2006.07.004.
12. He J., and Fu Z.-F. Modal Analysis (2001), Butterworth-Heineman, Oxford
13. Ljung L. System Identification Theory For The User. second ed. (1999), Prentice-Hall, Englewood Cliffs, NJ
14. Mrad R.B., and Fassois S.D. Recursive identification of vibrating structures from noise-corrupted observations, part 1: identification approaches. ASME Journal of Vibration and Acoustics 113 (1991) 354-361
15. Söderström T., and Stoica P. System Identification (1989), Prentice-Hall International, UK
16. Fassois S.D., and Lee J.E. On the problem of stochastic experimental modal analysis based on multiple-excitation multiple-response data, part II: the modal analysis approach. Journal of Sound and Vibration 161 (1993) 57-87
17. Fassois S.D. MIMO LMS-ARMAX identification of vibrating structures-part I: the method. Mechanical Systems and Signal Processing 15 (2001) 723-735
18. Park B.-H., and Kim K.-J. Vector ARMAX modeling approach in multi-input modal analysis. Mechanical Systems and Signal Processing 3 (1989) 373-387
19. Papakos V., and Fassois S.D. Multichannel identification of aircraft skeleton structures under unobservable excitation: a vector AR/ARMA framework. Mechanical Systems and Signal Processing 17 (2003) 1271-1290
20. E.W. Weisstein, et al., "Orthogonal Transformation." Mathworld-A Wolfram Web Resource, 〈http://mathworld.wolfram.com/OrthogonalTransformation.html〉, 1999.
21. Lee J.E., and Fassois S.D. On the problem of stochastic experimental modal analysis based on multiple-excitation multiple-response data, part 1: dispersion analysis of continuous-time structural systems. Journal of Sound and Vibration 161 (1993) 33-56
22. Cooper J.E. The use of backwards models for structural parameter identification. Mechanical Systems and Signal Processing 6 (1992) 217-228
23. Kumaresan R. On the zeros of the linear prediction-error filter for deterministic signals. IEEE Transactions on Acoustics, Speech, and Signal Processing 31 (1983) 217-220
24. Kumaresan R., and Tufts D.W. Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise. IEEE Transactions on Acoustics, Speech, and Signal Processing 30 (1982) 833-840
25. Batill S.M., and Hollkamp J.J. Parameter identification of discrete-time series models for structural response prediction. AIAA Journal 27 (1989) 1636-1643
26. Hollkamp J.J., and Batill S.M. Automated parameter identification and order reduction for discrete time series models. AIAA Journal 29 (1991) 96-103
27. Hung C.F., and Ko W.J. Identification of modal parameters from measured output data using vector backward autoregressive model. Journal of Sound and Vibration 256 (2002) 249-270
28. Oppenheim A.V., and Schafer R.W. Discrete-Time Signal Processing (1989), Prentice-Hall, Englewood Cliffs, NJ
29. Matlab v6.5 Function Reference, The Mathworks, Natick, MA.
30. Kailath T. Linear Systems (1980), Prentice-Hall, Englewood Cliffs, NJ
31. Fassois S.D., Eman K.F., and Wu S.M. Sensitivity analysis of the discrete-to-continuous dynamic system transformation. ASME Journal of Dynamic Systems, Measurement and Control 112 (1990) 1-9