摘要
研究充液航天器在液体晃动、航天器平动和摆动相互耦合情况下的自旋稳定性问题．采用Ｇａｌｅｒｋｉｎ方法建立液体受迫振动的离散的动力学方程，并对液体自由振动的特征问题建立了有限元数值计算方法．由系统的动量方程、动量矩方程和液体受迫振动方程建立起刚－液耦合系统的姿态动力学方程，并由Ｋｅｌｖｉｎ定理，给出了充液航天器的自旋稳定性判据．最后以圆柱腔为例，分析了充液航天器自旋稳定性的结果．
The spinning stability of a spacecraft partially filled with inviscid, incompressible liquid is investigated. The coupled effect of liquid sloshing, translation and nutation of the spacecraft is considered. Numerical treatment of the characteristic problem of the free vibration of liquid in a spinning container is established, which depends on the establishment of the extreme value principle of a functional derived from the boundary value problem. The forced motion of liquid due to translation and nutation of the spacecraft is expressed in Ritz form and by employing Galerkin's method the closed form set of the attitude dynamic equation of the system is obtained. A simple stability criterion is given in this paper. As an example, the cylindrical container is taken into consideration and the criterion result is analyzed.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
1998年第12期64-68,共5页
Journal of Shanghai Jiaotong University
