Math. Model. Nat. Phenom.
Volume 12, Number 1, 2017Hamiltonian Systems
|Page(s)||62 - 93|
|Published online||03 February 2017|
Correlation Between Three-dimensional Sine Sweep Dynamics Vibration Testing and Resonantly Interacting Internal Gravity Wave Field
Department of Mathematics and Physics, University of Wisconsin-Parkside Kenosha, WI 53144, USA
2 Department of Mechanical Engineering, New Mexico Institute of Mining and Technology Socorro, NM 87801, USA
3 Dynamics Vibration Testing LLC, Springfield, IL 62711, USA
* Corresponding author. E-mail: Ibragimo@uwp.edu
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.
Mathematics Subject Classification: 74H45 / 74H50 / 76U05 / 35Q35 / 76B55
Key words: dynamics vibration testing / internal gravity waves / resonant interactions / Garrett-Munk energy spectrum / dissipation rates
© EDP Sciences, 2017
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.