Nonlinear vibration localisation in a symmetric system of two coupled beams

Filipe Fontanela; Alessandra Vizzaccaro; Jeanne Auvray; Björn Niedergesäß; Aurélien Grolet; Loïc Salles; Norbert Hoffmann

doi:10.1007/s11071-020-05760-x

Nonlinear vibration localisation in a symmetric system of two coupled beams

Filipe Fontanela, Alessandra Vizzaccaro^*, Jeanne Auvray, Björn Niedergesäß, Aurélien Grolet, Loïc Salles, Norbert Hoffmann

^*Corresponding author for this work

Department of Engineering Mathematics

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

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Abstract

We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bifurcations to localised solutions. An experimental investigation employing two weakly coupled beams touching against stoppers for large vibration amplitudes confirms the nonlinear localisation.

Original language	English
Pages (from-to)	3417-3428
Number of pages	12
Journal	Nonlinear Dynamics
Volume	103
Issue number	4
DOIs	https://doi.org/10.1007/s11071-020-05760-x https://doi.org/10.1007/s11071-020-05760-x
Publication status	Published - 24 Sept 2020

Keywords

Clearance nonlinearity
Symmetry breaking bifurcation
Vibration localisation

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2009.08759v1

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title = "Nonlinear vibration localisation in a symmetric system of two coupled beams",

abstract = "We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bifurcations to localised solutions. An experimental investigation employing two weakly coupled beams touching against stoppers for large vibration amplitudes confirms the nonlinear localisation.",

keywords = "Clearance nonlinearity, Symmetry breaking bifurcation, Vibration localisation",

author = "Filipe Fontanela and Alessandra Vizzaccaro and Jeanne Auvray and Bj{\"o}rn Niederges{\"a}{\ss} and Aur{\'e}lien Grolet and Lo{\"i}c Salles and Norbert Hoffmann",

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AU - Fontanela, Filipe

AU - Vizzaccaro, Alessandra

AU - Auvray, Jeanne

AU - Niedergesäß, Björn

AU - Grolet, Aurélien

AU - Salles, Loïc

AU - Hoffmann, Norbert

PY - 2020/9/24

Y1 - 2020/9/24

N2 - We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bifurcations to localised solutions. An experimental investigation employing two weakly coupled beams touching against stoppers for large vibration amplitudes confirms the nonlinear localisation.

AB - We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bifurcations to localised solutions. An experimental investigation employing two weakly coupled beams touching against stoppers for large vibration amplitudes confirms the nonlinear localisation.

KW - Clearance nonlinearity

KW - Symmetry breaking bifurcation

KW - Vibration localisation

UR - http://www.scopus.com/inward/record.url?scp=85091514990&partnerID=8YFLogxK

U2 - 10.1007/s11071-020-05760-x

DO - 10.1007/s11071-020-05760-x

M3 - Article (Academic Journal)

SN - 0924-090X

VL - 103

SP - 3417

EP - 3428

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

Nonlinear vibration localisation in a symmetric system of two coupled beams

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Keywords

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