Extreme Properties of Oscillations of an Elliptical Float

Abstract

The extreme amplitude and frequency properties of oscillations of a thin (symmetric with respect to both axes) elongated flat body of elliptical form are studied in the neighborhood of an interface of stably stratified ideal liquids. The numerical and analytical solving procedures were developed for a self-consistent boundary value problem on an asymptotically longtime interval, which leads to their significant radiation decay and evolution in oscillation frequency. Similar characteristics found earlier by the authors for floats of other forms are compared, and the significant quantitative and qualitative differences are established.