一类带附加装置的特殊刚体的稳定性分析

Stability of a Special Rigid Body with Additional Devices

研究一类带有附加装置的特殊刚体的稳定性,通过寻找合适的Poisson结构及Hamilton函数,将刚体的运动方程转化为广义Hamilton系统.运用能量Casimir函数法分析得知,这类刚体的运动在一定条件下是稳定的.

In this paper, we study the stability of a special kind of rigid body with additional devices. The rigid bodyrs motion equations is transform into a generalized Hamilton system by means of a suitabl Poisson structure and Hamiltonian function. Through these analysis, we found that the motion of such rigid body with additional devices, under certain con- ditions, is stable.