Identification of nonlinear normal modes of engineering structures under broadband forcing

Jean Philippe Noël; L. Renson; C. Grappasonni; G. Kerschen

doi:10.1016/j.ymssp.2015.04.016

Identification of nonlinear normal modes of engineering structures under broadband forcing

Jean Philippe Noël^*, L. Renson, C. Grappasonni, G. Kerschen

^*Corresponding author for this work

Department of Engineering Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

25 Citations (Scopus)

306 Downloads (Pure)

Abstract

The objective of the present paper is to develop a two-step methodology integrating system identification and numerical continuation for the experimental extraction of nonlinear normal modes (NNMs) under broadband forcing. The first step processes acquired input and output data to derive an experimental state-space model of the structure. The second step converts this state-space model into a model in modal space from which NNMs are computed using shooting and pseudo-arclength continuation. The method is demonstrated using noisy synthetic data simulated on a cantilever beam with a hardening-softening nonlinearity at its free end.

Original language	English
Pages (from-to)	95-110
Number of pages	16
Journal	Mechanical Systems and Signal Processing
Volume	74
Early online date	8 May 2015
DOIs	https://doi.org/10.1016/j.ymssp.2015.04.016
Publication status	Published - 1 Jun 2016

Keywords

Broadband excitation
Experimental data
Nonlinear normal modes
Nonlinear system identification
Numerical continuation

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10.1016/j.ymssp.2015.04.016

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Accepted author manuscript, 2.79 MB

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title = "Identification of nonlinear normal modes of engineering structures under broadband forcing",

abstract = "The objective of the present paper is to develop a two-step methodology integrating system identification and numerical continuation for the experimental extraction of nonlinear normal modes (NNMs) under broadband forcing. The first step processes acquired input and output data to derive an experimental state-space model of the structure. The second step converts this state-space model into a model in modal space from which NNMs are computed using shooting and pseudo-arclength continuation. The method is demonstrated using noisy synthetic data simulated on a cantilever beam with a hardening-softening nonlinearity at its free end.",

keywords = "Broadband excitation, Experimental data, Nonlinear normal modes, Nonlinear system identification, Numerical continuation",

author = "No{\"e}l, {Jean Philippe} and L. Renson and C. Grappasonni and G. Kerschen",

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T1 - Identification of nonlinear normal modes of engineering structures under broadband forcing

AU - Noël, Jean Philippe

AU - Renson, L.

AU - Grappasonni, C.

AU - Kerschen, G.

PY - 2016/6/1

Y1 - 2016/6/1

N2 - The objective of the present paper is to develop a two-step methodology integrating system identification and numerical continuation for the experimental extraction of nonlinear normal modes (NNMs) under broadband forcing. The first step processes acquired input and output data to derive an experimental state-space model of the structure. The second step converts this state-space model into a model in modal space from which NNMs are computed using shooting and pseudo-arclength continuation. The method is demonstrated using noisy synthetic data simulated on a cantilever beam with a hardening-softening nonlinearity at its free end.

AB - The objective of the present paper is to develop a two-step methodology integrating system identification and numerical continuation for the experimental extraction of nonlinear normal modes (NNMs) under broadband forcing. The first step processes acquired input and output data to derive an experimental state-space model of the structure. The second step converts this state-space model into a model in modal space from which NNMs are computed using shooting and pseudo-arclength continuation. The method is demonstrated using noisy synthetic data simulated on a cantilever beam with a hardening-softening nonlinearity at its free end.

KW - Broadband excitation

KW - Experimental data

KW - Nonlinear normal modes

KW - Nonlinear system identification

KW - Numerical continuation

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DO - 10.1016/j.ymssp.2015.04.016

M3 - Article (Academic Journal)

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VL - 74

SP - 95

EP - 110

JO - Mechanical Systems and Signal Processing

JF - Mechanical Systems and Signal Processing

SN - 0888-3270

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