Abstract
The random decrement (RD) technique can be used to analyze the response signal from a system that has amplitude dependent modal parameters. The implementation of RD for this purpose is usually done by simply applying the technique at multiple amplitudes in the measured response signal. Modal parameters are then estimated based on RD signatures using well known time domain modal parameter estimation methods. This analysis procedure originates from the invention of the RD technique, and is described by several studies in the literature. However, the RD technique is developed for linear systems, and caution must be exercised when applying it to nonlinear systems. In this study, several aspects of applying of the RD technique on signals exhibiting nonlinear behavior are addressed. The principle of superposition does not apply for a nonlinear system. This means the averaging process in RD can yield corrupted results. The benefit of a sufficiently high sampling rate is described.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Brincker, R., Ventura, C.: Introduction to Operational Modal Analysis. Wiley, United Kingdom (2015)
Cole, H.A.: On-the-line analysis of random vibrations. In: AIAA/ASME 9th Structural Dynamics Materials Conference, Palm Springs (1968)
Vandiver, J.K., Dunwoody, A.B., Campbell, R.B., Cook, M.F.: A mathematical basis for the random decrement vibration signature analysis technique. J. Mech. Des. 104(2), 307–313 (1982)
Ibrahim, S.R.: Random decrement technique for modal identification of structures. J. Spacecr. Rockets 14(11), 696–700 (1977)
Brincker, R., Krenk, S., Kirkegaard, P.H., Rytter, A.: Identication of dynamical properties from correlation function estimates, Bygningsstatiske Meddelelser 63(1), 1–38 (1992)
Asmussen, J.C.: Modal analysis based on the random decrement technique: application to civil engineering structures. Ph.D. thesis, University of Aalborg (1997)
Vesterholm, K.K., Brincker, R., Brandt, A.: Linearization of modal parameters in Duffing oscillator using the random decrement technique. In: Proceedings of the International Conference on Noise and Vibration Engineering (ISMA) (2018)
Tamura, Y., Suganuma, S.-Y.: Evaluation of amplitude-dependent damping and natural frequency of buildings during strong winds. J. Wind Eng. Ind. Aerodyn. 59(2), 115–130 (1996)
Acknowledgements
The authors acknowledge the funding received from Centre for Oil and Gas – DTU/Danish Hydrocarbon Research and Technology Centre (DHRTC).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Society for Experimental Mechanics, Inc
About this paper
Cite this paper
Vesterholm, K.K., Brincker, R., Brandt, A. (2021). Some Aspects of Using the Random Decrement Technique for Nonlinear Systems. In: Kerschen, G., Brake, M.R., Renson, L. (eds) Nonlinear Structures & Systems, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-47626-7_6
Download citation
DOI: https://doi.org/10.1007/978-3-030-47626-7_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-47625-0
Online ISBN: 978-3-030-47626-7
eBook Packages: EngineeringEngineering (R0)