The Narimanov–Moiseev modal equations for sloshing in an annular tank

Abstract

A complete weakly-nonlinear modal system of the Narimanov–Moiseev
type is derived for sloshing in an upright annular tank by using the deri-
vation scheme proposed by the author for a spherical tank. The modal
system couples the two dominant generalised coordinates responsible for
the lowest natural sloshing modes and an infinite set of the second- and
third-order generalised coordinates.