Experimental identification of nonlinearities under free and forced vibration using the Hilbert transform

JVC/Journal of Vibration and Control

Volumn 15, Issue 10, 2009, Pages 1563-1579

  Feldman, Michael ^a   Bucher, Izhak ^a   Rotberg, Joseph ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Hilbert transform; Nonlinear dynamic system identification

Indexed keywords

ACCURATE ESTIMATION; ANALYTICAL METHOD; ESTIMATED PARAMETER; EXPERIMENTAL IDENTIFICATION; FREE AND FORCED VIBRATIONS; FRICTION PARAMETERS; HILBERT TRANSFORM; LABORATORY DEVICES; MECHANICAL SYSTEMS; NON-LINEARITY; NONLINEAR DYNAMIC SYSTEM IDENTIFICATION; NONLINEAR SPRINGS; NUMERICAL RESULTS; OPERATING CONDITION; SIMULATED DATA; SYSTEM UNDER TEST; UNIQUE FEATURES; VIBRATION AMPLITUDE; VIBRATION MODEL;

DYNAMIC PROGRAMMING; DYNAMICAL SYSTEMS; FRICTION; NUMERICAL METHODS; PARAMETER ESTIMATION; SIGNAL PROCESSING; VIBRATION ANALYSIS;

MATHEMATICAL TRANSFORMATIONS;

EID: 70349448273     PISSN: 10775463     EISSN: 17412986     Source Type: Journal    
DOI: 10.1177/1077546308097270     Document Type: Article

References (11)

1. Ereta, P. and Meskellb, C., 2008, " A practical approach to parameter identification for a lightly damped, weakly nonlinear system ", Journal of Sound and Vibration 310, 829-844.
2. Feldman, M., 1994, " Non-linear system vibration analysis using Hilbert transform - II. Forced vibration analysis method ĝ€?FORCEVIB? ", Mechanical Systems and Signal Processing 8 (3). 309-318.
3. Feldman, M., 1997, " Non-linear free vibration identification via the Hilbert transform ", Journal of Sound and Vibration 208 (3). 475-489.
4. Feldman, M. and Braun, S., 1993, " Analysis of typical non-linear vibration systems by using the Hilbert transform ", in Proceedings of the 11th International IMAC, Modal Analysis Conference, Kissimmee, FL, February 1-4, pp. 688-794.
5. Huang, N. and Shen, S. (eds), 2005, " Hilbert-Huang Transform and Its Applications ", in Interdisciplinary Mathematical Sciences, Vol. 5, World Scientific, Singapore.
6. Kerschen, G., Vakakis, A.F., Lee, Y.S., McFarland, D.M., and Bergman, L.A., 2008, " Toward a fundamental understanding of the Hilbert-Huang transform in nonlinear structural dynamics ", Journal of Vibration and Control 14 (1-2). 77-105.
7. Kerschen, G., Worden, K., Vakakis, A.F., and Golinval, J.-C., 2006, " Past, present and future of nonlinear system identification in structural dynamics ", Mechanical Systems and Signal Processing 20 (3). 505-592.
8. Pai, P.F., 2007, " Nonlinear vibration characterization by signal decomposition ", Journal of Sound and Vibration 307, 527-544.
9. Poon, C.W. and Chang, C.C., 2007, " Identification of nonlinear elastic structures using empirical mode decomposition and nonlinear normal modes ", Smart Structures and Systems 3 (4). 423-437.
10. Tjahjowidodo, T., Al-Bender, F., and Van Brussel, H., 2007, " Identification of backlash in mechanical systems experimental dynamic identification of backlash using skeleton methods ", Mechanical Systems and Signal Processing 21, 959-972.
11. Worden, K. and Tomlinson, G.R., 2001, Nonlinearity in Structural Dynamics: Detection, Identification and Modeling, CRC Press, Boca Raton, FL.