Hamiltonian Dynamics for Spacecraft Stability Coupled with Partially Filled Liquid Container
In this research article a canonical Hamiltonian model for liquid sloshing has been presentedfor an elliptical tank inside the spacecraft. Hamiltonian system is an important case of dynamical system.Mostly, it has been used to stabilize the potential shaping of a mechanical system. The movement of the freesurface of liquid inside the container produces sloshing. Uncontrolled sloshing could be a reason of spacecraftattitude disturbance if there is resonance between the motion of tank and the liquid frequency inside tank.Frequency, amplitude, law of tank’s motion, tank’s geometry, liquid depth and the properties of liquid are theparameters of liquid sloshing. An equivalent model of sloshing, mass attached with spring, for liquid has beenused. Using the Lypunov for Camisir functions, stability of this model has been studied analytically forspacecraft dynamics. Conditions for stability and instability have been derived for a steady principal axisrotation of the rigid body.
Hamiltonian dynamics Coupled dynamical system Lyapunov stability Casimir functions Sloshing of fluid Equivalent mechanical model
Salman Ahmad BaoZeng Yue
Department of Mechanics, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 1
国内会议
哈尔滨
英文
1-7
2011-08-22（万方平台首次上网日期，不代表论文的发表时间）