轴对称充液贮箱有加速度时的等效建模

用空间等效摆模型描述航天器储箱内液体晃动。根据液体晃动建模型与边界条件，获得了液体在贮葙腔内作涡旋运动时的赫姆霍兹方程。研究有加速度的平衡状态及小幅运动时固定腔体中理想流体的横向运动，分别求出每个腔体在固定基座上的固有频率和振型函数。航天器具横行速度和姿态运动时考虑航天器运动对加速度势的影响，给出液体对主刚体的作用力和力矩。由此建立了轴对称贮箱等效力学模型。加入干扰的动力学响应分析验证了模型的正确性和实际影响效果。

Equivalent Modeling for Axisymmetric Tank of Spacecraft with Accelerate

The space equivalent pendulum model was used to describe the liquid sloshing in the tank of spacecraft in this paper. According to the conditions of modeling and boundary conditions for liquid sloshing, the Helmholtz equation for liquid＇s scroll campaign in the tank base was acquired. The horizontal movement of the ideal liquid in the fixed cavity was analyzed when the liquid was in the balance state and slight movement. The natural frequency and vibration mode function of each cavity in the fixed base were calculated. While the impact to the acceleration potential was under consideration when spacecraft had horizontal speed and doing attitude moment, the force and torque of liquid to the rigid were given out. Axisymmetric tank equivalent mechanical model was built. The results of the dynamic response analysis with interference showed that the correctness of the model and the actual effects were certified.