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Article Dans Une Revue Acta Mechanica Année : 2022

Detection of different dynamics of two coupled oscillators including a time-dependent cubic nonlinearity

Résumé

Vibratory energy channelling between a linear and a nonlinear oscillators is studied at different time scales. The nonlinear system possesses a time-dependent periodic restoring forcing function. Detection of fast and slow system dynamics leads to revealing different dynamical characteristics namely slow invariant manifold, equilibrium and singular points. We show that the time-dependent nonlinearity produces phase-dependent slow invariant manifold, frequency responses and modi cations concerning stability borders of its slow invariant manifold and singularities zones. The backbone curves of the system and also isola are detected; the later should be taken into account carefully if the aim is system control.
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Dates et versions

hal-03472898 , version 1 (04-01-2022)

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Aurélie Labetoulle, Alireza Ture Savadkoohi, Emmanuel Gourdon. Detection of different dynamics of two coupled oscillators including a time-dependent cubic nonlinearity. Acta Mechanica, 2022, ⟨10.1007/s00707-021-03119-w⟩. ⟨hal-03472898⟩
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