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

¹ 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

Abstract

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.