Considering high harmonics for identification of non-linear systems by Hilbert transform

Mechanical Systems and Signal Processing

Volumn 21, Issue 2, 2007, Pages 943-958

  Feldman, Michael ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Envelope; High harmonics; Hilbert transform; Identification; Instantaneous frequency; Non linear system

Indexed keywords

DAMPING; HARMONIC ANALYSIS; NATURAL FREQUENCIES; NUMERICAL METHODS; OSCILLATIONS; VIBRATIONS (MECHANICAL);

DYNAMIC PARAMETERS; DYNAMIC STRUCTURES; HILBERT TRANSFORMS; STATIC FORCE CHARACTERISTICS;

NONLINEAR SYSTEMS;

EID: 33750498851     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2006.01.004     Document Type: Article

References (8)

1. Feldman M.S. Investigation of the natural vibrations of machine elements using the Hilbert transform, Soviet Machine Science, vol. 2 (1985), Allerton Press Inc. pp. 44-47
2. P. Davies, J.K. Hammond, The use of envelope and instantaneous phase methods for the response of oscillatory nonlinear systems to transients, in: Proceedings of the Fifth IMAC, vol. II, 1987, pp. 1460-1466.
3. Feldman M. Non-linear system vibration analysis using Hilbert transform-I. Free vibration analysis method "FREEVIB. Mechanical Systems and Signal Processing 8 2 (1994) 119-127
4. Feldman M. Non-linear system vibration analysis using Hilbert transform-II. Forced vibration analysis method "FORCEVIB. Mechanical Systems and Signal Processing 8 3 (1994) 309-318
5. Huang N.E., Shen Z., and Long S.R. New view of nonlinear water waves: the Hilbert spectrum. Annual Review of Fluid Mechanics 31 (1999) 417-457
6. Feldman M. Time-varying vibration decomposition and analysis based on the Hilbert transform. Journal of Sound and Vibration 295 3-5 (2006) 518-530
7. Feldman M. Non-linear free vibration identification via the Hilbert transform. Journal of Sound and Vibration 208 3 (1997) 475-489
8. Vakman D. Signals, Oscillations, and Waves, Artech House (1998), Boston, London