Anharmonic oscillations of a conical buoy

TL;DR

This paper investigates the oscillation behavior of a conical buoy in an ideal fluid, revealing a specific mass ratio where anharmonicity peaks and showing that above this ratio, the normalized period remains constant.

Contribution

It introduces a novel analysis of anharmonic oscillations of a conical buoy, identifying a critical mass ratio affecting oscillation characteristics.

Findings

Maximum anharmonicity at a specific mass ratio (3/4).

Normalized period remains constant above the crossover value.

New insights into buoy oscillation dynamics in ideal fluids.

Abstract

A study of the foating of a circular cone shaped buoy in an ideal fluid has revealed some new interesting results. Using reduced variables it is shown, that at a crossover value (3/4) of the ratio of the specific masses of the fluid and of the buoy, the anharmonicity of the oscillation is the highest and that, unexpectedly, above this crossover value the normalized period is constant.