Nonlinear vibration localisation in a symmetric system of two coupled beams
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Published version
Author(s)
Type
Journal Article
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.
Date Issued
2021-03-01
Date Acceptance
2020-06-10
Citation
Nonlinear Dynamics, 2021, 103, pp.3417-3428
ISSN
0924-090X
Publisher
Springer Science and Business Media LLC
Start Page
3417
End Page
3428
Journal / Book Title
Nonlinear Dynamics
Volume
103
Copyright Statement
© The Author(s) 2020. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use,
sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the
original author(s) and the source, provide a link to the Creative
Commons licence, and indicate if changes were made. The
images or other third party material in this article are included in
the article’s Creative Commons licence, unless indicated
otherwise in a credit line to the material. If material is not
included in the article’s Creative Commons licence and your
intended use is not permitted by statutory regulation or exceeds
the permitted use, you will need to obtain permission directly
from the copyright holder. To view a copy of this licence, visit
http://creativecommons.org/licenses/by/4.0/.
sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the
original author(s) and the source, provide a link to the Creative
Commons licence, and indicate if changes were made. The
images or other third party material in this article are included in
the article’s Creative Commons licence, unless indicated
otherwise in a credit line to the material. If material is not
included in the article’s Creative Commons licence and your
intended use is not permitted by statutory regulation or exceeds
the permitted use, you will need to obtain permission directly
from the copyright holder. To view a copy of this licence, visit
http://creativecommons.org/licenses/by/4.0/.
License URL
Sponsor
Rolls-Royce Plc
Innovate UK
Commission of the European Communities
Identifier
https://link.springer.com/article/10.1007%2Fs11071-020-05760-x
Grant Number
See Further Information
113088
721865
Subjects
Science & Technology
Technology
Engineering, Mechanical
Mechanics
Engineering
Vibration localisation
Symmetry breaking bifurcation
Clearance nonlinearity
PERIODIC STRUCTURE
MODE LOCALIZATION
nlin.PS
nlin.PS
01 Mathematical Sciences
09 Engineering
Acoustics
Publication Status
Published
Date Publish Online
2020-09-24