Abstract
In a companion paper the existence of trapped waves over submerged cylinders has been analysed, and a necessary condition for their excitation was derived. In the present paper, this study is extended to obtain physically more important results. First we consider a more realistic geometry, namely a finite, although slender, cylinder. Second we derive the necessary and sufficient conditions for the excitation of trapped modes; and lastly, the induced resonant response is studied with the multiple-scales technique. It is shown then that the wave amplitude satisfies an equation similar to the resonant nonlinear oscillator.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference7 articles.
1. Newman J. N. 1978 Marine Hydrodynamics .M.I.T. Press.
2. Schlichting H. 1968 Boundary Layer Theory .McGraw Hill.
3. Aranha J. A. P. 1988 Existence and some properties of waves trapped by submerged cylinders.J. Fluid Mech. 192,421–433.
4. McIver, P. & Evans D. V. 1985 The trapping of surface waves above a submerged, horizontal cylinder.J. Fluid Mech. 151,243–255.
5. Aranha, J. A. P. & Pesce C. P. 1988 A variational method for the two-dimensional water wave radiation and diffraction problems (submitted).
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