Some Aspects of Using the Random Decrement Technique for Nonlinear Systems

Karsten K. Vesterholm; Rune Brincker; Anders Brandt

doi:10.1007/978-3-030-47626-7_6

Some Aspects of Using the Random Decrement Technique for Nonlinear Systems

Karsten K. Vesterholm^*, Rune Brincker, Anders Brandt

^*Corresponding author for this work

University of Southern Denmark

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

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.

Original language	English
Title of host publication	Nonlinear Structures & Systems : Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020
Editors	G. Kerschen, M. R. Brake, L. Renson
Volume	1
Place of Publication	Cham
Publisher	Springer
Publication date	2021
Pages	39-41
ISBN (Print)	978-3-030-47625-0
ISBN (Electronic)	978-3-030-47626-7
DOIs	https://doi.org/10.1007/978-3-030-47626-7_6
Publication status	Published - 2021
Event	38th IMAC: A Conference and Exposition on Structural Dynamics - Hourson, United States Duration: 10 Feb 2020 → 13 Feb 2020

Conference

Conference	38th IMAC
Country/Territory	United States
City	Hourson
Period	10/02/2020 → 13/02/2020

Series	Conference Proceedings of the Society for Experimental Mechanics Series
Volume	1
ISSN	2191-5644

Keywords

Random decrement
Nonlinear system
Random vibrations
Signal processing
System identification

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10.1007/978-3-030-47626-7_6

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Vesterholm, K. K., Brincker, R., & Brandt, A. (2021). Some Aspects of Using the Random Decrement Technique for Nonlinear Systems. In G. Kerschen, M. R. Brake, & L. Renson (Eds.), Nonlinear Structures & Systems: Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020 (Vol. 1, pp. 39-41). Springer. https://doi.org/10.1007/978-3-030-47626-7_6

Vesterholm, Karsten K. ; Brincker, Rune ; Brandt, Anders. / Some Aspects of Using the Random Decrement Technique for Nonlinear Systems. Nonlinear Structures & Systems: Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020. editor / G. Kerschen ; M. R. Brake ; L. Renson . Vol. 1 Cham : Springer, 2021. pp. 39-41 (Conference Proceedings of the Society for Experimental Mechanics Series, Vol. 1).

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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.",

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Vesterholm, KK, Brincker, R & Brandt, A 2021, Some Aspects of Using the Random Decrement Technique for Nonlinear Systems. in G Kerschen, MR Brake & L Renson (eds), Nonlinear Structures & Systems: Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020. vol. 1, Springer, Cham, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 1, pp. 39-41, 38th IMAC, Hourson, Texas, United States, 10/02/2020. https://doi.org/10.1007/978-3-030-47626-7_6

Some Aspects of Using the Random Decrement Technique for Nonlinear Systems. / Vesterholm, Karsten K.; Brincker, Rune; Brandt, Anders.
Nonlinear Structures & Systems: Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020. ed. / G. Kerschen; M. R. Brake; L. Renson . Vol. 1 Cham: Springer, 2021. p. 39-41 (Conference Proceedings of the Society for Experimental Mechanics Series, Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

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Vesterholm KK, Brincker R, Brandt A. Some Aspects of Using the Random Decrement Technique for Nonlinear Systems. In Kerschen G, Brake MR, Renson L, editors, Nonlinear Structures & Systems: Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020. Vol. 1. Cham: Springer. 2021. p. 39-41. (Conference Proceedings of the Society for Experimental Mechanics Series, Vol. 1). doi: 10.1007/978-3-030-47626-7_6

Some Aspects of Using the Random Decrement Technique for Nonlinear Systems

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