Simplifying Transformations for Nonlinear Systems: Part II, Statistical Analysis of Harmonic Cancellation

N Dervilis; Keith Worden; David J Wagg; Simon A Neild

doi:10.1007/978-3-319-15221-9_29

Simplifying Transformations for Nonlinear Systems: Part II, Statistical Analysis of Harmonic Cancellation

N Dervilis, Keith Worden, David J Wagg, Simon A Neild

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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Abstract

The first paper in this short sequence described the idea of a simplifying transformation and applied the concept to a numerical optimisation-based variant of normal form analysis. The idea of the numerical normal form transformation was simply to eliminate or reduce the contribution of a pre-defined set of harmonics in the system response. It was shown that reducing the defined harmonics could lead to amplification of other components of the response. The idea of the current paper is to conduct a Monte Carlo worst-case analysis to investigate how badly unconstrained harmonics might be amplified by the optimisation.

Original language	English
Title of host publication	Nonlinear Dynamics, Volume 1
Subtitle of host publication	Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015
Editors	Gaëtan Kerschen
Publisher	Springer
Pages	321-326
Number of pages	6
ISBN (Electronic)	9783319152219
ISBN (Print)	9783319152202
DOIs	https://doi.org/10.1007/978-3-319-15221-9_29
Publication status	Published - 14 Aug 2015
Event	33rd IMAC Conference and Exposition on Structural Dynamics, 2015 - Orlando, FL, United States Duration: 2 Feb 2015 → 5 Feb 2015

Publication series

Name	Conference Proceedings of the Society for Experimental Mechanics Series
Publisher	Springer
ISSN (Print)	2191-5644

Conference

Conference	33rd IMAC Conference and Exposition on Structural Dynamics, 2015
Country/Territory	United States
City	Orlando, FL
Period	2/02/15 → 5/02/15

Keywords

Nonlinearity
Differential evolution
Optimisation
Simplifying transformation
Superharmonics

Access to Document

10.1007/978-3-319-15221-9_29

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Dervilis, N., Worden, K., Wagg, D. J., & Neild, S. A. (2015). Simplifying Transformations for Nonlinear Systems: Part II, Statistical Analysis of Harmonic Cancellation. In G. Kerschen (Ed.), Nonlinear Dynamics, Volume 1: Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015 (pp. 321-326). (Conference Proceedings of the Society for Experimental Mechanics Series). Springer. https://doi.org/10.1007/978-3-319-15221-9_29

Dervilis, N ; Worden, Keith ; Wagg, David J et al. / Simplifying Transformations for Nonlinear Systems : Part II, Statistical Analysis of Harmonic Cancellation. Nonlinear Dynamics, Volume 1: Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015. editor / Gaëtan Kerschen. Springer, 2015. pp. 321-326 (Conference Proceedings of the Society for Experimental Mechanics Series).

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title = "Simplifying Transformations for Nonlinear Systems: Part II, Statistical Analysis of Harmonic Cancellation",

abstract = "The first paper in this short sequence described the idea of a simplifying transformation and applied the concept to a numerical optimisation-based variant of normal form analysis. The idea of the numerical normal form transformation was simply to eliminate or reduce the contribution of a pre-defined set of harmonics in the system response. It was shown that reducing the defined harmonics could lead to amplification of other components of the response. The idea of the current paper is to conduct a Monte Carlo worst-case analysis to investigate how badly unconstrained harmonics might be amplified by the optimisation.",

keywords = "Nonlinearity, Differential evolution, Optimisation, Simplifying transformation, Superharmonics",

author = "N Dervilis and Keith Worden and Wagg, {David J} and Neild, {Simon A}",

year = "2015",

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doi = "10.1007/978-3-319-15221-9_29",

language = "English",

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series = "Conference Proceedings of the Society for Experimental Mechanics Series",

publisher = "Springer",

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editor = "Ga{\"e}tan Kerschen",

booktitle = "Nonlinear Dynamics, Volume 1",

note = "33rd IMAC Conference and Exposition on Structural Dynamics, 2015 ; Conference date: 02-02-2015 Through 05-02-2015",

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Dervilis, N, Worden, K, Wagg, DJ & Neild, SA 2015, Simplifying Transformations for Nonlinear Systems: Part II, Statistical Analysis of Harmonic Cancellation. in G Kerschen (ed.), Nonlinear Dynamics, Volume 1: Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015. Conference Proceedings of the Society for Experimental Mechanics Series, Springer, pp. 321-326, 33rd IMAC Conference and Exposition on Structural Dynamics, 2015, Orlando, FL, United States, 2/02/15. https://doi.org/10.1007/978-3-319-15221-9_29

Simplifying Transformations for Nonlinear Systems: Part II, Statistical Analysis of Harmonic Cancellation. / Dervilis, N; Worden, Keith; Wagg, David J et al.
Nonlinear Dynamics, Volume 1: Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015. ed. / Gaëtan Kerschen. Springer, 2015. p. 321-326 (Conference Proceedings of the Society for Experimental Mechanics Series).

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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T1 - Simplifying Transformations for Nonlinear Systems

T2 - 33rd IMAC Conference and Exposition on Structural Dynamics, 2015

AU - Dervilis, N

AU - Worden, Keith

AU - Wagg, David J

AU - Neild, Simon A

PY - 2015/8/14

Y1 - 2015/8/14

N2 - The first paper in this short sequence described the idea of a simplifying transformation and applied the concept to a numerical optimisation-based variant of normal form analysis. The idea of the numerical normal form transformation was simply to eliminate or reduce the contribution of a pre-defined set of harmonics in the system response. It was shown that reducing the defined harmonics could lead to amplification of other components of the response. The idea of the current paper is to conduct a Monte Carlo worst-case analysis to investigate how badly unconstrained harmonics might be amplified by the optimisation.

AB - The first paper in this short sequence described the idea of a simplifying transformation and applied the concept to a numerical optimisation-based variant of normal form analysis. The idea of the numerical normal form transformation was simply to eliminate or reduce the contribution of a pre-defined set of harmonics in the system response. It was shown that reducing the defined harmonics could lead to amplification of other components of the response. The idea of the current paper is to conduct a Monte Carlo worst-case analysis to investigate how badly unconstrained harmonics might be amplified by the optimisation.

KW - Nonlinearity

KW - Differential evolution

KW - Optimisation

KW - Simplifying transformation

KW - Superharmonics

U2 - 10.1007/978-3-319-15221-9_29

DO - 10.1007/978-3-319-15221-9_29

M3 - Conference Contribution (Conference Proceeding)

SN - 9783319152202

T3 - Conference Proceedings of the Society for Experimental Mechanics Series

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BT - Nonlinear Dynamics, Volume 1

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Y2 - 2 February 2015 through 5 February 2015

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Dervilis N, Worden K, Wagg DJ, Neild SA. Simplifying Transformations for Nonlinear Systems: Part II, Statistical Analysis of Harmonic Cancellation. In Kerschen G, editor, Nonlinear Dynamics, Volume 1: Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015. Springer. 2015. p. 321-326. (Conference Proceedings of the Society for Experimental Mechanics Series). doi: 10.1007/978-3-319-15221-9_29

Simplifying Transformations for Nonlinear Systems: Part II, Statistical Analysis of Harmonic Cancellation

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