Application of control-based continuation to a nonlinear system with harmonically coupled modes

L. Renson; D. A.W. Barton; S. A. Neild

doi:10.1007/978-3-319-74280-9_33

Application of control-based continuation to a nonlinear system with harmonically coupled modes

L. Renson^*, D. A.W. Barton, S. A. Neild

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

The objective of this study is to demonstrate the applicability of control-based continuation to systems with multiple degrees of freedom. Experimental demonstration is performed on a nonlinear structure comprising harmonically coupled modes. The design of the feedback controller used to stabilise unstable periodic solutions is discussed. The response of the system is then traced out for constant forcing frequencies and amplitudes. System identification is performed to analyse the stability of the underlying, uncontrolled system and detect the presence of limit-point and Neimark-Sacker bifurcations.

Original language	English
Title of host publication	Nonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018
Subtitle of host publication	FEBRUARY 12–15, 2018, ORLANDO, FL, USA
Editors	Gaetan Kerschen
Publisher	Springer New York LLC
Chapter	33
Pages	315-316
Number of pages	2
Volume	1
ISBN (Print)	9783319742793
DOIs	https://doi.org/10.1007/978-3-319-74280-9_33
Publication status	Published - 7 Jun 2018
Event	36th IMAC, A Conference and Exposition on Structural Dynamics, 2018 - Orlando, United States Duration: 12 Feb 2018 → 15 Feb 2018

Publication series

Name	Conference Proceedings of the Society for Experimental Mechanics Series
Publisher	Springer Link

Conference

Conference	36th IMAC, A Conference and Exposition on Structural Dynamics, 2018
Country/Territory	United States
City	Orlando
Period	12/02/18 → 15/02/18

Keywords

Closed-loop identification
Control-based continuation
Experimental bifurcation analysis
Harmonic coupling
Multiple degrees of freedom

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10.1007/978-3-319-74280-9_33

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Renson, L., Barton, D. A. W., & Neild, S. A. (2018). Application of control-based continuation to a nonlinear system with harmonically coupled modes. In G. Kerschen (Ed.), Nonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018: FEBRUARY 12–15, 2018, ORLANDO, FL, USA (Vol. 1, pp. 315-316). (Conference Proceedings of the Society for Experimental Mechanics Series). Springer New York LLC. https://doi.org/10.1007/978-3-319-74280-9_33

Renson, L. ; Barton, D. A.W. ; Neild, S. A. / Application of control-based continuation to a nonlinear system with harmonically coupled modes. Nonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018: FEBRUARY 12–15, 2018, ORLANDO, FL, USA. editor / Gaetan Kerschen. Vol. 1 Springer New York LLC, 2018. pp. 315-316 (Conference Proceedings of the Society for Experimental Mechanics Series).

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title = "Application of control-based continuation to a nonlinear system with harmonically coupled modes",

abstract = "The objective of this study is to demonstrate the applicability of control-based continuation to systems with multiple degrees of freedom. Experimental demonstration is performed on a nonlinear structure comprising harmonically coupled modes. The design of the feedback controller used to stabilise unstable periodic solutions is discussed. The response of the system is then traced out for constant forcing frequencies and amplitudes. System identification is performed to analyse the stability of the underlying, uncontrolled system and detect the presence of limit-point and Neimark-Sacker bifurcations.",

keywords = "Closed-loop identification, Control-based continuation, Experimental bifurcation analysis, Harmonic coupling, Multiple degrees of freedom",

author = "L. Renson and Barton, {D. A.W.} and Neild, {S. A.}",

year = "2018",

month = jun,

day = "7",

doi = "10.1007/978-3-319-74280-9_33",

language = "English",

isbn = "9783319742793",

volume = "1",

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

publisher = "Springer New York LLC",

pages = "315--316",

editor = "Gaetan Kerschen",

booktitle = "Nonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018",

note = "36th IMAC, A Conference and Exposition on Structural Dynamics, 2018 ; Conference date: 12-02-2018 Through 15-02-2018",

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Renson, L, Barton, DAW & Neild, SA 2018, Application of control-based continuation to a nonlinear system with harmonically coupled modes. in G Kerschen (ed.), Nonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018: FEBRUARY 12–15, 2018, ORLANDO, FL, USA. vol. 1, Conference Proceedings of the Society for Experimental Mechanics Series, Springer New York LLC, pp. 315-316, 36th IMAC, A Conference and Exposition on Structural Dynamics, 2018, Orlando, United States, 12/02/18. https://doi.org/10.1007/978-3-319-74280-9_33

Application of control-based continuation to a nonlinear system with harmonically coupled modes. / Renson, L.; Barton, D. A.W.; Neild, S. A.

Nonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018: FEBRUARY 12–15, 2018, ORLANDO, FL, USA. ed. / Gaetan Kerschen. Vol. 1 Springer New York LLC, 2018. p. 315-316 (Conference Proceedings of the Society for Experimental Mechanics Series).

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

TY - GEN

T1 - Application of control-based continuation to a nonlinear system with harmonically coupled modes

AU - Renson, L.

AU - Barton, D. A.W.

AU - Neild, S. A.

PY - 2018/6/7

Y1 - 2018/6/7

N2 - The objective of this study is to demonstrate the applicability of control-based continuation to systems with multiple degrees of freedom. Experimental demonstration is performed on a nonlinear structure comprising harmonically coupled modes. The design of the feedback controller used to stabilise unstable periodic solutions is discussed. The response of the system is then traced out for constant forcing frequencies and amplitudes. System identification is performed to analyse the stability of the underlying, uncontrolled system and detect the presence of limit-point and Neimark-Sacker bifurcations.

AB - The objective of this study is to demonstrate the applicability of control-based continuation to systems with multiple degrees of freedom. Experimental demonstration is performed on a nonlinear structure comprising harmonically coupled modes. The design of the feedback controller used to stabilise unstable periodic solutions is discussed. The response of the system is then traced out for constant forcing frequencies and amplitudes. System identification is performed to analyse the stability of the underlying, uncontrolled system and detect the presence of limit-point and Neimark-Sacker bifurcations.

KW - Closed-loop identification

KW - Control-based continuation

KW - Experimental bifurcation analysis

KW - Harmonic coupling

KW - Multiple degrees of freedom

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U2 - 10.1007/978-3-319-74280-9_33

DO - 10.1007/978-3-319-74280-9_33

M3 - Conference Contribution (Conference Proceeding)

AN - SCOPUS:85061116264

SN - 9783319742793

VL - 1

T3 - Conference Proceedings of the Society for Experimental Mechanics Series

SP - 315

EP - 316

BT - Nonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018

A2 - Kerschen, Gaetan

PB - Springer New York LLC

T2 - 36th IMAC, A Conference and Exposition on Structural Dynamics, 2018

Y2 - 12 February 2018 through 15 February 2018

ER -

Renson L, Barton DAW , Neild SA. Application of control-based continuation to a nonlinear system with harmonically coupled modes. In Kerschen G, editor, Nonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018: FEBRUARY 12–15, 2018, ORLANDO, FL, USA. Vol. 1. Springer New York LLC. 2018. p. 315-316. (Conference Proceedings of the Society for Experimental Mechanics Series). doi: 10.1007/978-3-319-74280-9_33

Application of control-based continuation to a nonlinear system with harmonically coupled modes

Abstract

Publication series

Conference

Keywords

Access to Document

Handle.net

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Next-generation test methods for nonlinear structures (new)

Cite this

Application of control-based continuation to a nonlinear system with harmonically coupled modes

Abstract

Publication series

Conference

Keywords

Access to Document

Handle.net

Other files and links

Fingerprint

Projects

Next-generation test methods for nonlinear structures (new)

Cite this