Liquid-Rigid Coupling Dynamics of Liquid Filled Axis-Symmetric Container Under Microgravity Environment

Studies liquid-rigid coupling dynamics of contained fluid in axis-symmetric container under microgravity environment.Low-gravity sloshing in a convex axisymmetrical container subjected to lateral excitation is formulated by variational principle and is solved analytically by modal analysis method.Variational principle is transformed into a frequency equation in the form of a standard eigenvalue problem by the Galerkin method,in which admissible functions for the velocity potential and the liquid surface displacement are determined analytically in terms of Gaussian hypergeometric series.Numerical calculations of the dynamic equations are carried out,and the changing time histories of the degrees of freedom of the coupling system are obtained.