带弹性附件充液矩形贮箱俯仰运动动态响应

首先建立了俯仰运动矩形贮箱刚-液-弹耦合系统在外力矩作用下的耦合动力学模型，给出满足边界条件的速度势函数和液面波高的级数表达式，采用伽辽金法离散，将动力学模型转化为常微分方程组，得到刚-液-弹耦合系统的固有频率，给出简单的近似表达式，分析了转动中心距静液面不同位置时刚-液-弹耦合系统各阶固有频率的变化规律，系统转动中心距静液面较近时，耦合后液体反对称模态和刚体的固有频率对比耦合前减小，较远时则增大，最后进行数值验证，比较分析了液体和弹性体对刚体姿态的影响．

Dynamic Response of a Liquid-Filled Rectangular Tank With Elastic Appendages Under Pitching Excitation

Nonlinear dynamics of liquid-filled rectangular tank with elastic appendages are studied. Based on the assumption of the ideal fluid, the coupling dynamics equations of rigid tank, elastic appendages and liquid fuel were derived using H-O principle.In the case of pitch excitation,the modified potential function and wave height function were introduced to describe the moving boundary of fluid.Then Galerkin's method was used to discrete the dynamic equations into ordinary differential equations. The natural frequencies of the coupling system were formulated in liquid depth, the length of the tank, and etc. The formulae are confirmed by numerical simulation,which also show the effect of liquid and elastic appendages on the attitude angular of rigid.