Correlation Between Three-dimensional Sine Sweep Dynamics Vibration Testing and Resonantly Interacting Internal Gravity Wave Field

The main goal is to report a similarity in qualitative dynamics of (1) wave amplitudes within resonantly interactive internal gravity waves in the deep ocean and the sine sweep of three-dimensional vibration table and (2) the Garrett-Munk energy distribution of the corresponding resonantly interacti...

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Bibliographic Details
Published in:Mathematical modelling of natural phenomena 2017, Vol.12 (1), p.62-93
Main Authors: Ibragimov, R.N., Bakhtiyarov, S., Zweigart, P.
Format: Article
Language:English
Subjects:
35Q35
74H45
74H50
76B55
76U05
dissipation rates
Dynamic stability
Dynamics
dynamics vibration testing
Energy
Energy distribution
Garrett-Munk energy spectrum
Gravitational waves
Gravity
Gravity waves
internal gravity waves
Internal waves
Noise reduction
resonant interactions
Three dimensional models
Vibration
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Summary:The main goal is to report a similarity in qualitative dynamics of (1) wave amplitudes within resonantly interactive internal gravity waves in the deep ocean and the sine sweep of three-dimensional vibration table and (2) the Garrett-Munk energy distribution of the corresponding resonantly interactive oceanic wave field and the sine profile sweep. Namely, the most significant deviation from the equilibrium state is observed at high frequency domains only for the both energy distribution and the sine sweep. While three-dimensional vibration dynamics is not yet studied, the attempt to understand this dynamics is made by means of studying stability of the resonantly interactive wave field on the ocean. The particular question of interest is how to model the dissipation mechanism for three-dimensional vibration testing and, e.g. how to reduce the noise in the sine sweep test and how to control the resonance effects in the vibration process.
ISSN:1760-6101
0973-5348
1760-6101
DOI:10.1051/mmnp/201712105