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

The objective of this paper is to propose a new method for analysis and identification of non-linear vibration structures by considering the primary and high harmonics of the solution. The method is based on two other Hilbert transform methods: • the methods for extracting the instantaneous and aver...

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Bibliographic Details
Published in:Mechanical systems and signal processing 2007-02, Vol.21 (2), p.943-958
Main Author: Feldman, Michael
Format: Article
Language:English
Subjects:
Envelope
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
High harmonics
Hilbert transform
Identification
Instantaneous frequency
Measurement and testing methods
Non-linear system
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:The objective of this paper is to propose a new method for analysis and identification of non-linear vibration structures by considering the primary and high harmonics of the solution. The method is based on two other Hilbert transform methods: • the methods for extracting the instantaneous and average dynamic structure characteristics, • the Hilbert Vibration Decomposition method that splits non-stationary wideband oscillating signal into separate components. The study focuses on combined non-linearities and on identification of precise dynamic parameters (natural frequencies, damping, static force characteristics) for free and forced vibration.
ISSN:0888-3270
1096-1216
DOI:10.1016/j.ymssp.2006.01.004