Analysis of resonant sloshing in tapered conical tanks

Abstract

Nonlinear resonant sloshing of an ideal incompressible liquid in a rigid
truncated conical tank due to a horizontal harmonic excitation is studied.
The excitation frequency is close to the lowest natural liquid frequency.
Using a asymptotic modal system with Moiseev-Narimanov detuning [9],
the steady-stare resonance sloshing is analysed. An asymptotic periodic
solution describing the so-called planar and swirling waves is derived. Util-
ising the method of slowly varying amplitudes makes it possible to study
the solution stability. Hydrodynamic loads are estimated. The results are
compared with experimental data.