Abstract
The present work is concerned by modal identification of time-varying systems. For this purpose, a method based on instantaneous frequency identification and synchronous demodulation is used to extract modal components from recorded signals. The proposed method of iterated sifting process is based on the Hilbert Vibration Decomposition (HVD) technique which is used to extract the instantaneous dominant vibrating component at each iteration. A source separation preprocessing step is introduced to treat multiple degree-of-freedom systems in an optimal way. Sources are used as reference signals to get a single instantaneous frequency of each mode for the demodulation on all the channels. The algorithm is presented and is applied to numerical simulation of a randomly excited time-varying structure for illustration purpose. The investigated structure is made up of a beam on which a non-negligible mass is traveling. The variable location of the mass results in changes in modal parameters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Huang NE, Shen Z, Long SR, Wu MC, Shih HH, Zheng Q, Yen N-C, Tung CC, Liu HH (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc Roy Soc A Math Phys Eng Sci 454(1971):903–995
Feldman M (2011) Hilbert transform applications in mechanical vibration. Wiley, Chichester
Bedrosian E (1963) A product theorem for Hilbert transforms. Proc IEEE 51(5):868–869
Kerschen G, Golinval J (2002) Physical interpretation of the proper orthogonal modes using the singular value decomposition. J Sound Vib 249(5):849–865
Chelidze D, Zhou W (2006) Smooth orthogonal decomposition-based vibration mode identification. J Sound Vib 292(3–5):461–473
Poncelet F, Kerschen G, Golinval J-C, Verhelst D (2007) Output-only modal analysis using blind source separation techniques. Mech Syst Signal Proc 21(6):2335–2358
Alexandrov T, Bianconcini S, Dagum EB, Maass P, McElroy TS (2012) A review of some modern approaches to the problem of trend extraction. Econometric Reviews 31(6):593–624 http://ideas.repec.org/a/taf/emetrv/v31y2012i6p593-624.html
Feldbauer C, Höldrich R (2000) Realization of a Vold-Kalman tracking filter - a least squares problem. Proceedings of the COST G-6 Conference on Digital Audio Effects (DAFX-00) No. 8, pp. 8–11, Verona, Italy
SAMCEF Mecano http://www.lmsintl.com/?sitenavid=8435E5BB-C04D-49AB-B72A-9CB01D6FD9DB
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Bertha, M., Golinval, J.C. (2014). Identification of a Time-Varying Beam Using Hilbert Vibration Decomposition. In: Allemang, R. (eds) Topics in Modal Analysis II, Volume 8. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04774-4_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-04774-4_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-04773-7
Online ISBN: 978-3-319-04774-4
eBook Packages: EngineeringEngineering (R0)