Numerical computation of nonlinear normal modes in mechanical engineering

L. Renson; G. Kerschen; Bruno Cochelin

doi:10.1016/j.jsv.2015.09.033

Numerical computation of nonlinear normal modes in mechanical engineering

L. Renson^*, G. Kerschen, Bruno Cochelin

^*Corresponding author for this work

Department of Engineering Mathematics

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Abstract

This paper reviews the recent advances in computational methods for nonlinear normal modes (NNMs). Different algorithms for the computation of undamped and damped NNMs are presented, and their respective advantages and limitations are discussed. The methods are illustrated using various applications ranging from low-dimensional weakly nonlinear systems to strongly nonlinear industrial structures.

Original language	English
Pages (from-to)	177-206
Number of pages	30
Journal	Journal of Sound and Vibration
Volume	364
Early online date	8 Dec 2015
DOIs	https://doi.org/10.1016/j.jsv.2015.09.033
Publication status	Published - 3 Mar 2016

Keywords

nonlinear normal modes
numerical methods
periodic orbits
invariant manifolds
numerical continuation

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ReviewNNM_Renson_et_al
This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Elsevier at http://dx.doi.org/10.1016/j.jsv.2015.09.033. Please refer to any applicable terms of use of the publisher.
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title = "Numerical computation of nonlinear normal modes in mechanical engineering",

abstract = "This paper reviews the recent advances in computational methods for nonlinear normal modes (NNMs). Different algorithms for the computation of undamped and damped NNMs are presented, and their respective advantages and limitations are discussed. The methods are illustrated using various applications ranging from low-dimensional weakly nonlinear systems to strongly nonlinear industrial structures.",

keywords = "nonlinear normal modes, numerical methods, periodic orbits, invariant manifolds, numerical continuation",

author = "L. Renson and G. Kerschen and Bruno Cochelin",

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T1 - Numerical computation of nonlinear normal modes in mechanical engineering

AU - Renson, L.

AU - Kerschen, G.

AU - Cochelin, Bruno

PY - 2016/3/3

Y1 - 2016/3/3

N2 - This paper reviews the recent advances in computational methods for nonlinear normal modes (NNMs). Different algorithms for the computation of undamped and damped NNMs are presented, and their respective advantages and limitations are discussed. The methods are illustrated using various applications ranging from low-dimensional weakly nonlinear systems to strongly nonlinear industrial structures.

AB - This paper reviews the recent advances in computational methods for nonlinear normal modes (NNMs). Different algorithms for the computation of undamped and damped NNMs are presented, and their respective advantages and limitations are discussed. The methods are illustrated using various applications ranging from low-dimensional weakly nonlinear systems to strongly nonlinear industrial structures.

KW - nonlinear normal modes

KW - numerical methods

KW - periodic orbits

KW - invariant manifolds

KW - numerical continuation

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DO - 10.1016/j.jsv.2015.09.033

M3 - Article (Academic Journal)

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SN - 0022-460X

VL - 364

SP - 177

EP - 206

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

ER -

Numerical computation of nonlinear normal modes in mechanical engineering

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Keywords

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