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对自旋充液航天器地面气浮台试验的动力学特性进行了分析和计算。以刚体系统的动量矩定理和流体运动的基本方程为基础,考虑液体晃动、涡旋、重力、离心力及Coriolis力等因素的影响,并运用Pfeiffer推广的关于流体均匀涡旋运动的理论,导出了液体晃动的边值问题和流固耦合旋转系统运动的联立微分方程组。运用边界元方法求解了重力场中部分充液偏置贮箱内液体晃动的三维边值问题,并将系统运动的联立微分方程组交换后化为广义特征值问题来求解。从而求得液体晃动的能量耗散率和系统的章动时间常数。
The dynamic characteristics of the FTIR test on the FTIR were analyzed and calculated. Based on the momentum moment theorem of rigid body system and the basic equations of fluid motion, the influence of liquid sloshing, vortex, gravity, centrifugal force and Coriolis force is considered and Pfeiffer’s generalized theory of uniform vortex motion is deduced Boundary Value Problems for Liquid Slipping and Simultaneous Systems of Simultaneous Differential Equations in Fluid-structure-coupled Rotating Systems. The boundary element method is used to solve the three-dimensional boundary value problem of liquid sloshing in partially filled liquid reservoirs in gravity field. Then, the system of simultaneous differential equations is transformed into the generalized eigenvalue problem. Thus, the energy dissipation rate of liquid sloshing and the nutation time constant of the system are obtained.