ARMA models for modal analysis: Effect of model orders and sampling frequency

Mechanical Systems and Signal Processing

Volumn 13, Issue 6, 1999, Pages 925-941

  Smail, M ^a   Thomas, M ^a   Lakis, A ^b  

^a ÉCOLE DE TECHNOLOGIE SUPÉRIEURE   (Canada)

^b ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FREQUENCY DOMAIN ANALYSIS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; MODAL ANALYSIS; NATURAL FREQUENCIES;

AUTO-REGRESSIVE MOVING AVERAGE (ARMA) METHODS; COVARIANCE MATRIX METHOD;

VIBRATIONS (MECHANICAL);

EID: 0033345135     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1006/mssp.1999.1235     Document Type: Article

References (20)

1. THOMAS M., MASSOUD M., BELIVEAU J. G., LAUZIER C. Optimisation des caractéristiques dynamiques d'une structure. Proceedings of the Canadian Congress of Applied Mechanics CANCAM, Vancouver. 1976.
2. EWINS D. J. Research Studies Press. Modal Testing, Theory and Practice. 1986.
3. THOMAS M., ELMARAGHY R. Design of damped structures using modal analysis. Proceedings of the 2nd International Modal Analysis Conference. 1:1984;. p. 223-227.
4. GARREAU D., GEORGEL B. La méthode de Prony en analyse de vibrations. Traitement du Signal. 3:1986.
5. IBRAHIM S. R., MIKULCIK E. C. The experimental determination of vibration parameters from time responses. The shock and vibration bulletin. 43:1973;187-196.
6. KAY S. M. Modern Spectral Estimation: Theory and Application. 1988;Prentice-Hall, Englewood Cliffs.
7. PI Y. L., MICKLEBOROUGH N. C. Modal identification of vibrating structures using ARMA model. Journal of Engineering Mechanics. 115:1989.
8. M'SIRDI N. K. Modélisation paramètrique adaptative et application à l'analyse spectrale. Thèse de Doctorat d'état en sciences physiques, 1'I.N.P.G. de Grenoble. 1988.
9. LJUNG L., SÖDERSTRÖM T. Theory and Practice of Recursive Identification. 1983;The MIT Press, Cambridge.
10. BEN MRAD R., FASSOIS S. D. Recursive identification of vibrating structures, from noise-corrupted observations. Part 1: identification approaches. Journal of Vibration and Acoustics. 113:1991;354-361.
11. BEN MRAD R., FASSOIS S. D. Recursive identification of vibrating structures, from noise-corrupted observations. Part 2: performance evaluation via numerical and laboratory experiments. Journal of Vibration and Acoustics. 113:1991;362-368.
12. CLAESSON I., NORDHOLM S., ERIKSSON P. Noise canceling convergence rates for the LMS algorithm. Mechanical Systems and Signal Processing. 5:1991;375-388.
13. KUO B. C. Digital Control Systems, Engineering Series. 1992;Saunders College Publishing.
14. KUO B. C. Discrete-Data Control Systems, Electrical Engineering Series. 1970;Prentice-Hall, Englewood Cliffs.
15. GAUTIER P. E., GONTIER C., SMAIL M. Robustness of an A.R.M.A. identification method for modal analysis of mechanical systems in presence of noise. Journal of Sound and Vibration. 179:1995;227-242.
16. GONTIER C., SMAIL M., GAUTIER P. E. A time domain method for identification of dynamic parameters of structures. Mechanical Systems and Signal Processing. 7:1993.
17. SMAIL M., THOMAS M., LAKIS A. Assessment of optimal ARMA orders for modal analysis. Mechanical Systems and Signal Processing. 1224:1999;17.
18. GAGNÉ J. P., THOMAS M., BENSOUSSAN D. Contrôle actif des vibrations par filtre passe bas et retour d'états sur une structure flexible. Proceeding of the congrès Canadien en génie électrique et informatique, IEEE. 1:1995;. p. 181-186.
19. THOMAS M., HAMIDI L., NGUYEN H., MASSOUD M., PIAUD B. Détection de fissures de rotors par analyse modale expérimentale. Transactions of the Canadian Society of Mechanical Engineering. 19:1995;155-174.
20. SMAIL M., THOMAS M., LAKIS A. A. Utilisation de la modélisation ARMA pour la détection des fissures dans les rotors. Third International Conference on Industrial Automation (AIAI). 1999;. p. 4.