【摘要】 应用Ｐｆｅｉｆｅｒ关于全充液腔内液体旋度平均化思想研究全充液弦索系统，使液体旋度仅与时间有关。根据动量定理、动量矩定理和Ｈｅｌｍｈｏｌｔｚ方程建立了系统动力学方程。对于系统的铅垂稳态运动，采用线性化理论和适当的变量代换导出了系统稳态运动的特征值方程，从而获得了研究系统稳态运动的稳定性判据。并指出多数情况下还要借助数值方法来讨论有关特征方程的特征值问题。更多还原

【Abstract】 In this paper, the stability of steady state motion of tethered system of a rigid body fully filled with liquid is studied. The homogeneous vortex theory about fluid is applied to this complex system by using Pfeiffer’s method and the vorticity of the liquid is only related to time. According to theorems of momentum and moment of momentum and helmholtz’s equation, motion quations of the tethered system are obtained. With the help of the linearization theory and variable exchanges, the characteristic equation is derived about the steady state motion of the system. The stability condition of the steady state motion is got from the roots of the characteristic equation. In most cases, the roots behavior of the characteristic equations is needed to be discussed further by using numerical method.更多还原