微重力环境下轴对称贮腔类液刚耦合动力学

Liquid-Rigid Coupling Dynamics of Liquid Filled Axis-Symmetric Container Under Microgravity Environment

采用球坐标系描述球腔中的液体动力学特性,并建立一种轴对称贮腔类液刚耦合系统动力学模型.采用模态展开方法分析了微重环境下球形贮箱中的液体晃动问题,给出了球形贮箱内液体晃动速度势函数和波高函数的高斯超几何级数解析表达式.采用伽辽金变分原理推导了系统动力学模型,并进行了特征频率分析.对耦合充液系统进行了数值仿真计算,并得到系统自由度随时间的变化历程.

Studies liquid-rigid coupling dynamics of contained fluid in axis-symmetric container under microgravity environment. Low-gravity sloshing in a convex axisymmetrical container subjected to lateral excitation is formulated by variational principle and is solved analytically by modal analysis method. Variational principle is transformed into a frequency equation in the form of a standard eigenvalue problem by the Galerkin method, in which admissible functions for the velocity potential and the liquid surface displacement are determined analytically in terms of Gaussian hypergeometric series. Numerical calculations of the dynamic equations are carried out, and the changing time histories of the degrees of freedom of the coupling system are obtained.