Effective Rotational Inertia of Liquid in Circular Cylindrical Ring Tank around Horizontal Axis
The effective moment of inertia parameters of liquid in spacecraft storage tanks around the horizontal and vertical axes are important foundations for simulation analysis of flight control systems.This article presents the calculation method of effective moment of inertia of liquid in spacecraft circular cylindrical flat bottomed storage tanks.Under the condition that excitation frequency tends to infinity,the expressions of acting point of liquid horizontal sloshing resultant force and effective rotational inertia around the center of mass are given.This derivation is based on the analytical expressions of liquid sloshing force and moment under excitation of translation and transverse rotation around the center of mass of free-surface flat-bottomed circular cylindrical tank.Using the parallel-axis theorem,the consistency of derived results with the liquid inertia center and the effective rotational inertia around the inertia center is verified.In this paper,the influence of tank depth and inner/outer diameter ratio on liquid rotational inertia is analyzed,and theoretical analysis results of liquid sloshing characteristics are supplemented and improved.
liquid sloshingcircular cylindrical tankcenter of inertiarotational inertia