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  4. Dissipative solitons in forced cyclic and symmetric structures
 
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Dissipative solitons in forced cyclic and symmetric structures

Publikationstyp
Journal Article
Date Issued
2019-02-15
Sprache
English
Author(s)
Fontanela, Filipe  
Grolet, AurĂ©lien  
Salles, Loic  
Chabchoub, Amin  
Champneys, Alan  
Patsias, Sophoclis  
Hoffmann, Norbert  orcid-logo
Institut
Produktentwicklung und Konstruktionstechnik M-17  
TORE-URI
http://hdl.handle.net/11420/2400
Journal
Mechanical Systems and Signal Processing  
Volume
117
Start Page
280
End Page
292
Citation
Mechanical Systems and Signal Processing (117): 280-292 (2018-04-04)
Publisher DOI
10.1016/j.ymssp.2018.08.011
Scopus ID
2-s2.0-85051397675
ArXiv ID
1804.01321v1
The emergence of localised vibrations in cyclic and symmetric rotating structures, such as bladed disks of aircraft engines, has challenged engineers in the past few decades. In the linear regime, localised states may arise due to a lack of symmetry, as for example induced by inhomogeneities. However, when structures deviate from the linear behaviour, e.g. due to material nonlinearities, geometric nonlinearities like large deformations, or other nonlinear elements like joints or friction interfaces, localised states may arise even in perfectly symmetric structures. In this paper, a system consisting of coupled Duffing oscillators with linear viscous damping is subjected to external travelling wave forcing. The system may be considered a minimal model for bladed disks in turbomachinery operating in the nonlinear regime, where such excitation may arise due to imbalance or aerodynamic excitation. We demonstrate that near the resonance, in this non-conservative regime, localised vibration states bifurcate from the travelling waves. Complex bifurcation diagrams result, comprising stable and unstable dissipative solitons. The localised solutions can also be continued numerically to a conservative limit, where solitons bifurcate from the backbone curves of the travelling waves at finite amplitudes.
Subjects
Nonlinear Sciences - Pattern Formation and Solitons
Nonlinear Sciences - Pattern Formation and Solitons
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