Perspective: Measurements and Analyses of Nonlinear Wave Interactions With Higher-Order Spectral Moments

Author:

Hajj M. R.1,Miksad R. W.2,Powers E. J.3

Affiliation:

1. Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0219

2. School of Engineering and Applied Science, University of Virginia, Charlottesville, VA 22903

3. Department of Electrical and Computer Engineering, University of Texas at Austin, Austin, TX 78712

Abstract

In fluid flows, fluid-structure interactions and other fluids-related problem, nonlinear dynamics play an important role in determining the development, response or output. Understanding these dynamics is essential for development of analytical models and prediction and control purposes. Higher-order statistical analysis has been shown to be an effective tool that can be applied to identify nonlinear couplings and measure energy transfer rates. These techniques have been applied by our group and others to investigate transition of shear flows, energy cascading in turbulence, oceanographic and geophysical flows, and fluid-structure interactions. The results of these investigations revealed important nonlinear characteristics regarding these problems. In this paper, we review these techniques and explain their usefulness in identification and quantification of nonlinear dynamics.

Publisher

ASME International

Subject

Mechanical Engineering

Reference37 articles.

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2. Choi D. , MiksadR., W. and PowersE. J., 1985 “Application of Digital Cross-Bispectral Analysis Techniques to Model the Nonlinear Response of a Moored Vessel System in Random Seas,” J. Sound and Vibration, Vol. 99, pp. 309–326.

3. Corke, T. C., 1987, “Measurements of resonant phase locking in unstable axisymmetric jets and boundary layers,” Nonlinear Wave Interactions in Fluids R. W. Miksad, T. R. Akylas and T. Herbert, eds., Winter Annual Meeting of ASME/AMD, Vol. 87, pp. 37–65.

4. Dalzell, J. F., 1975, “The Applicability of the Functional Input-Output Model to Ship Resistence in Waves,” Report SIT-DL-75-1794, Stevens Institute of Technology.

5. Dalzell, J. F., 1976, “The Application of the Functional Polynomial Mode to the Ship Added Resistance Problem,” Proc. 11th Symposium on Naval Hydrodynamics.

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