Robust identification of backbone curves using control-based continuation

Ludovic Renson; Alicia Gonzalez-Buelga; David A W Barton; Simon A Neild

doi:10.1016/j.jsv.2015.12.035

Robust identification of backbone curves using control-based continuation

Ludovic Renson, Alicia Gonzalez-Buelga, David A W Barton, Simon A Neild

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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 adapted to follow the locus where system response and excitation are in quadrature, extracting the backbone curve of the underlying conservative system. The method is applied to a single-degree-of-freedom oscillator under base excitation, and the results are compared with the standard resonant-decay method.

Original language	English
Pages (from-to)	145-158
Number of pages	14
Journal	Journal of Sound and Vibration
Volume	367
Early online date	8 Jan 2016
DOIs	https://doi.org/10.1016/j.jsv.2015.12.035
Publication status	Published - 14 Apr 2016

Keywords

Nonlinear normal modes
Backbone curve
Phase quadrature
Experimental continuation
Control-based continuation

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10.1016/j.jsv.2015.12.035

Full-text PDF (accepted author manuscript)
This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Elsevier at http://www.sciencedirect.com/science/article/pii/S0022460X15010226. Please refer to any applicable terms of use of the publisher.
Accepted author manuscript, 1.11 MBLicence: CC BY-NC-ND

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TNS: Fellowship - Ludovic Renson
Barton, D. A. W. (Principal Investigator)
1/05/16 → 30/04/18
Project: Research
Systematic experimental exploration of nonlinear structures with control-based continuation
Barton, D. A. W. (Principal Investigator)
1/09/13 → 1/09/15
Project: Research
Dynamic design tools for understanding and exploiting nonlinearity in structures
Neild, S. A. (Principal Investigator)
1/02/13 → 31/07/18
Project: Research

Robust identification of backbone curves using control-based continuation
["David Barton", (Creator), Gonzalez-Buelga, A. (Contributor), Neild, S. (Contributor) & Barton, D. (Contributor), University of Bristol, 5 Jan 2016
DOI: 10.5523/bris.15xkehnayh6st11gbc9dmeqg6v, http://data.bris.ac.uk/data/dataset/15xkehnayh6st11gbc9dmeqg6v
Dataset

Professor David A W Barton
- David.Bartonbristol.acuk
- School of Engineering Mathematics and Technology - Professor of Computational and Experimental Mathematics
Person: Academic , Member

Cite this

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title = "Robust identification of backbone curves 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 adapted to follow the locus where system response and excitation are in quadrature, extracting the backbone curve of the underlying conservative system. The method is applied to a single-degree-of-freedom oscillator under base excitation, and the results are compared with the standard resonant-decay method.",

keywords = "Nonlinear normal modes, Backbone curve, Phase quadrature, Experimental continuation, Control-based continuation",

author = "Ludovic Renson and Alicia Gonzalez-Buelga and Barton, {David A W} and Neild, {Simon A}",

year = "2016",

month = apr,

day = "14",

doi = "10.1016/j.jsv.2015.12.035",

language = "English",

volume = "367",

pages = "145--158",

journal = "Journal of Sound and Vibration",

issn = "0022-460X",

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TY - JOUR

T1 - Robust identification of backbone curves using control-based continuation

AU - Renson, Ludovic

AU - Gonzalez-Buelga, Alicia

AU - Barton, David A W

AU - Neild, Simon A

PY - 2016/4/14

Y1 - 2016/4/14

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 adapted to follow the locus where system response and excitation are in quadrature, extracting the backbone curve of the underlying conservative system. The method is applied to a single-degree-of-freedom oscillator under base excitation, and the results are compared with the standard resonant-decay method.

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 adapted to follow the locus where system response and excitation are in quadrature, extracting the backbone curve of the underlying conservative system. The method is applied to a single-degree-of-freedom oscillator under base excitation, and the results are compared with the standard resonant-decay method.

KW - Nonlinear normal modes

KW - Backbone curve

KW - Phase quadrature

KW - Experimental continuation

KW - Control-based continuation

U2 - 10.1016/j.jsv.2015.12.035

DO - 10.1016/j.jsv.2015.12.035

M3 - Article (Academic Journal)

SN - 0022-460X

VL - 367

SP - 145

EP - 158

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

ER -

Robust identification of backbone curves using control-based continuation

Abstract

Keywords

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Projects

TNS: Fellowship - Ludovic Renson

Systematic experimental exploration of nonlinear structures with control-based continuation

Dynamic design tools for understanding and exploiting nonlinearity in structures

Datasets

Robust identification of backbone curves using control-based continuation

Profiles

Professor David A W Barton

Cite this