This article is cited in 20 papers

Research Papers

On the problem of time-harmonic water waves in the presence of a freely-floating structure

N. Kuznetsov

Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russian Federation

Abstract: The two-dimensional problem of time-harmonic water waves in the presence of a freely-floating structure (it consists of a finite number of infinitely long surface-piercing cylinders connected above the water surface) is considered. The coupled spectral boundary value problem modeling the small-amplitude motion of this mechanical system involves the spectral parameter, the frequency of oscillations, which appears in the boundary conditions as well as in the equations governing the structure's motion. It is proved that any value of the frequency turns out to be an eigenvalue of the problem for a particular structure obtained with the help of the so-called inverse procedure.

Keywords: coupled spectral problem, time-harmonic water waves, freely-floating structure, trapped mode.

Received: 05.04.2010

Language: English

 English version: St. Petersburg Mathematical Journal, 2011, 22:6, 985–995

Bibliographic databases:

• 
• 
• 
•