Abstract
A phenomenological model describing the time-frequency dependence of the power spectrum of thin plates vibrating in a wave turbulence regime, is introduced. The model equation contains as basic solutions the Rayleigh-Jeans equipartition of energy, as well as the Kolmogorov-Zakharov spectrum of wave turbulence. In the Wave Turbulence Theory framework, the model is used to investigate the self-similar, non-stationary solutions of forced and free turbulent vibrations. Frequency-dependent damping laws can easily be accounted for. Their effects on the characteristics of the stationary spectra of turbulence are then investigated. Thanks to this analysis, self-similar universal solutions are given, relating the power spectrum to both the injected power and the damping law.
| Original language | English |
|---|---|
| Pages (from-to) | 34-42 |
| Number of pages | 9 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 316 |
| DOIs | |
| Publication status | Published - 15 Feb 2016 |
Keywords
- Damping
- Kolmogorov-Zakharov spectrum
- Non-stationary
- Phenomenological model
- Wave turbulence
Fingerprint
Dive into the research topics of 'Phenomenological model for predicting stationary and non-stationary spectra of wave turbulence in vibrating plates'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver