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Communication Dans Un Congrès Année : 2019

Solitons in Cyclic and Symmetric Structures

Filipe Fontanela
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Loïc Salles

Résumé

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 non-linear 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.
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Dates et versions

hal-02424294 , version 1 (27-12-2019)

Identifiants

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Filipe Fontanela, Aurélien Grolet, Loïc Salles, Norbert Hoffmann. Solitons in Cyclic and Symmetric Structures. 6th IMAC, A Conference and Exposition on Structural Dynamics 2018, 2018, Orlando, United States. pp.175-178, ⟨10.1007/978-3-319-74280-9_18⟩. ⟨hal-02424294⟩
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