A phenomenological model for predicting the effect of damping on wave turbulence spectra in vibrating plates

Abstract : Thin plates vibrating at large amplitudes may exhibit a strongly nonlinear regime that has to be studied within the framework of wave turbulence. Experimental studies have revealed the importance of the damping on the spectra of wave turbulence , which precludes for a direct comparison with the theoretical results, that assumes a Hamiltonian dynamics. A phenomenological model is here introduced so as to predict the effect of the damping on the turbulence spectra. Self-similar solutions are found and the cutoff frequency is expressed as function of the damping rate and the injected power.
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Communication dans un congrès
6th International Conference on Nonlinear Vibrations, Localization and Energy Transfer, Aug 2016, Liège, Belgium. 2016, 〈http://www.nnm2016liege.com/〉
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  • HAL Id : hal-01354764, version 1

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T Humbert, C Josserand, Cyril Touzé, Olivier Cadot. A phenomenological model for predicting the effect of damping on wave turbulence spectra in vibrating plates. 6th International Conference on Nonlinear Vibrations, Localization and Energy Transfer, Aug 2016, Liège, Belgium. 2016, 〈http://www.nnm2016liege.com/〉. 〈hal-01354764〉

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