[en] 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.
Disciplines :
Mechanical engineering
Author, co-author :
Fontanela, Filipe; Imperial College London, London, United Kingdom
Grolet, Aurelien; Arts et Métiers ParisTech, Lille, France
Salles, Loïc ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M) ; Imperial College London, London, United Kingdom
Hoffmann, Norbert; Imperial College London, London, United Kingdom ; Hamburg University of Technology, Hamburg, Germany
Language :
English
Title :
Solitons in cyclic and symmetric structures
Publication date :
2019
Event name :
36th IMAC, A Conference and Exposition on Structural Dynamics 2018
Event place :
Orlando, Usa
Event date :
12-02-2018 => 15-02-2018
Audience :
International
Main work title :
Nonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018
Main work alternative title :
[en] Society for Experimental Mechanics Series
Editor :
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
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