Some Aspects of Using the Random Decrement Technique for Nonlinear Systems

Karsten Krautwald 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 Krautwald Vesterholm, Rune Brincker, Anders Brandt

Technical University of Denmark

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

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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.

Original language	English
Title of host publication	Nonlinear Structures and Systems, Volume 1 - Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020 : Conference Proceedings of the Society for Experimental Mechanics Series
Editors	Gaetan Kerschen, Matthew R.W. Brake, Ludovic Renson
Volume	1
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	International Modal Analysis Conference - Houston, United States Duration: 10. Feb 2020 → 13. Feb 2020 Conference number: XXXVII

Conference

Conference	International Modal Analysis Conference
Number	XXXVII
Country/Territory	United States
City	Houston
Period	10/02/2020 → 13/02/2020

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

Keywords

Nonlinear system
Random decrement
Random vibrations
Signal processing
System identification

Documents & Links

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

Open Access Version

1 Ph.D. thesis

Random Decrement Based Vibration Analysis of Nonlinear Systems
Vesterholm, K. K., 31. Mar 2021, Syddansk Universitet. Det Tekniske Fakultet. 252 p.
Research output: Thesis › Ph.D. thesis

Open Access
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Cite this

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

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

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title = "Some Aspects of Using the Random Decrement Technique for Nonlinear Systems",

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, MRW Brake & L Renson (eds), Nonlinear Structures and Systems, Volume 1 - Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020: Conference Proceedings of the Society for Experimental Mechanics Series. vol. 1, Springer, Conference Proceedings of the Society for Experimental Mechanics Series, pp. 39-41, International Modal Analysis Conference, Houston, 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 Krautwald; Brincker, Rune; Brandt, Anders.

Nonlinear Structures and Systems, Volume 1 - Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020: Conference Proceedings of the Society for Experimental Mechanics Series. ed. / Gaetan Kerschen; Matthew R.W. Brake; Ludovic Renson. Vol. 1 Springer, 2021. p. 39-41 (Conference Proceedings of the Society for Experimental Mechanics Series).

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

TY - GEN

T1 - Some Aspects of Using the Random Decrement Technique for Nonlinear Systems

AU - Vesterholm, Karsten Krautwald

AU - Brincker, Rune

AU - Brandt, Anders

N1 - Conference code: XXXVII

PY - 2021

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AB - 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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KW - System identification

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SN - 978-3-030-47625-0

VL - 1

T3 - Conference Proceedings of the Society for Experimental Mechanics Series

SP - 39

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BT - Nonlinear Structures and Systems, Volume 1 - Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020

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PB - Springer

T2 - International Modal Analysis Conference

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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 MRW, Renson L, editors, Nonlinear Structures and Systems, Volume 1 - Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020: Conference Proceedings of the Society for Experimental Mechanics Series. Vol. 1. Springer. 2021. p. 39-41. (Conference Proceedings of the Society for Experimental Mechanics Series). doi: 10.1007/978-3-030-47626-7_6

Some Aspects of Using the Random Decrement Technique for Nonlinear Systems

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Related Research Output

Random Decrement Based Vibration Analysis of Nonlinear Systems

Cite this