Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation

Ludovic Renson; David Barton; Simon Neild

doi:10.1007/978-3-319-29739-2_3

Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation

Ludovic Renson, David Barton, Simon Neild

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

Abstract

Control-based continuation is a recently-developed approach for testing nonlinear dynamic systems in a controlled manner and exploring their dynamic features as system parameters are varied. In this paper, control-based continuation is used to track directly in the experiment the steady-state periodic solutions of a single-degree-of-freedom oscillator presenting a softening-hardening restoring force. The oscillator forced response is investigated and fully characterized in forcing amplitude and frequency. The oscillator’s backbone curve is then extracted directly in the experiment by following a phase quadrature condition between the oscillator response and the base excitation.

Original language	English
Title of host publication	Nonlinear Dynamics, Volume 1
Subtitle of host publication	Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016
Publisher	Springer
Pages	19-27
Number of pages	9
Volume	1
ISBN (Electronic)	9783319297392
ISBN (Print)	9783319297385
DOIs	https://doi.org/10.1007/978-3-319-29739-2_3
Publication status	Published - 2016

Publication series

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

Keywords

Experimental nonlinear dynamics
Forced response
Backbone curves
Softening-hardening
Control-based continuation

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Systematic experimental exploration of nonlinear structures with control-based continuation
Barton, D. A. W.
1/09/13 → 1/09/15
Project: Research

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Renson, L., Barton, D., & Neild, S. (2016). Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation. In Nonlinear Dynamics, Volume 1: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016 (Vol. 1, pp. 19-27). (Conference Proceedings of the Society for Experimental Mechanics Series). Springer. https://doi.org/10.1007/978-3-319-29739-2_3

Renson, Ludovic ; Barton, David ; Neild, Simon. / Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation. Nonlinear Dynamics, Volume 1: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016. Vol. 1 Springer, 2016. pp. 19-27 (Conference Proceedings of the Society for Experimental Mechanics Series).

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title = "Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation",

abstract = "Control-based continuation is a recently-developed approach for testing nonlinear dynamic systems in a controlled manner and exploring their dynamic features as system parameters are varied. In this paper, control-based continuation is used to track directly in the experiment the steady-state periodic solutions of a single-degree-of-freedom oscillator presenting a softening-hardening restoring force. The oscillator forced response is investigated and fully characterized in forcing amplitude and frequency. The oscillator{\textquoteright}s backbone curve is then extracted directly in the experiment by following a phase quadrature condition between the oscillator response and the base excitation.",

keywords = "Experimental nonlinear dynamics, Forced response, Backbone curves, Softening-hardening, Control-based continuation",

author = "Ludovic Renson and David Barton and Simon Neild",

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isbn = "9783319297385",

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Renson, L, Barton, D & Neild, S 2016, Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation. in Nonlinear Dynamics, Volume 1: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016. vol. 1, Conference Proceedings of the Society for Experimental Mechanics Series, Springer, pp. 19-27. https://doi.org/10.1007/978-3-319-29739-2_3

Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation. / Renson, Ludovic; Barton, David ; Neild, Simon.

Nonlinear Dynamics, Volume 1: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016. Vol. 1 Springer, 2016. p. 19-27 (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 - Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation

AU - Renson, Ludovic

AU - Barton, David

AU - Neild, Simon

PY - 2016

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N2 - Control-based continuation is a recently-developed approach for testing nonlinear dynamic systems in a controlled manner and exploring their dynamic features as system parameters are varied. In this paper, control-based continuation is used to track directly in the experiment the steady-state periodic solutions of a single-degree-of-freedom oscillator presenting a softening-hardening restoring force. The oscillator forced response is investigated and fully characterized in forcing amplitude and frequency. The oscillator’s backbone curve is then extracted directly in the experiment by following a phase quadrature condition between the oscillator response and the base excitation.

AB - Control-based continuation is a recently-developed approach for testing nonlinear dynamic systems in a controlled manner and exploring their dynamic features as system parameters are varied. In this paper, control-based continuation is used to track directly in the experiment the steady-state periodic solutions of a single-degree-of-freedom oscillator presenting a softening-hardening restoring force. The oscillator forced response is investigated and fully characterized in forcing amplitude and frequency. The oscillator’s backbone curve is then extracted directly in the experiment by following a phase quadrature condition between the oscillator response and the base excitation.

KW - Experimental nonlinear dynamics

KW - Forced response

KW - Backbone curves

KW - Softening-hardening

KW - Control-based continuation

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DO - 10.1007/978-3-319-29739-2_3

M3 - Conference Contribution (Conference Proceeding)

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T3 - Conference Proceedings of the Society for Experimental Mechanics Series

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Renson L, Barton D , Neild S. Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation. In Nonlinear Dynamics, Volume 1: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016. Vol. 1. Springer. 2016. p. 19-27. (Conference Proceedings of the Society for Experimental Mechanics Series). https://doi.org/10.1007/978-3-319-29739-2_3

Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation

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Keywords

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Systematic experimental exploration of nonlinear structures with control-based continuation

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