Publisher DOI: 10.1007/978-3-319-74280-9_18
Title: Solitons in cyclic and symmetric structures
Language: English
Authors: Fontanela, Filipe 
Grolet, Aurelien 
Salles, Loic 
Hoffmann, Norbert  
Issue Date: 2019
Source: Conference Proceedings of the Society for Experimental Mechanics Series (1): 175-178 (2019)
Journal or Series Name: Conference Proceedings of the Society for Experimental Mechanics Series 
Conference: 36th IMAC, A Conference and Exposition on Structural Dynamics 
Abstract (english): © The Society for Experimental Mechanics, Inc. 2019. This research focuses on localised states arising from modulationally unstable plane waves in non-conservative cyclic and symmetric structures. The main application is on vibrations of bladed-disks of aircraft engines experiencing nonlinear effects, such as large displacements, friction dissipation, and/or complex fluid-structure interactions. The investigation is based on a minimal model composed of a chain of linearly damped Duffing oscillators under external travelling wave excitation. The computed results are based on two strategies: (1) a Non-Linear Schrödinger Equation (NLSE) approximation; and (2) the periodic and quasi-periodic Harmonic Balance Methods (HBM). In both cases, the results show that unstable plane waves may self-modulate, leading to stable and unstable single and multiple solitons configurations.
URI: http://hdl.handle.net/11420/2101
ISBN: 9783319742793
ISSN: 2191-5644
Institute: Strukturdynamik M-14 
Type: InProceedings (Aufsatz / Paper einer Konferenz etc.)
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