带球形底的圆柱容器中液体小幅晃动的实验研究和有限元分析  

EXPERIMENT AND FEM ANALYSIS OF LIQUID SLOSHING WITH SMALL AMPLITUDE IN A CIRCULAR CYLINDRICAL TANK WITH A SPHERICAL BOTTOM

作　　者：夏恒新[1] 王为[2] 宝音贺西[2] 李俊峰[2] 

机构地区：[1]南京理工大学机械学院,南京210000 [2]清华大学航天航空学院,北京100084

出　　处：《动力学与控制学报》2009年第1期66-70,共5页Journal of Dynamics and Control

摘　　要：晃动阻尼比的计算一直是航天器控制系统建模中很难把握的问题,本文进行了带球形底的圆柱容器中液体小幅晃动模态的固有频率和阻尼的实验研究,并将其与作者提出的有限元计算得到的结果进行了对比分析.频率的计算值与实验值吻合得很好,按洁净液面情况算得的阻尼值比实验值偏小.如果将液面污染耗散带来的阻尼乘以一定的因子引入阻尼的计算,则可得到与实验结果接近的阻尼计算值.这种形状容器在卫星上常用,本文结果对工程具有很好的指导意义.Getting the accurate damping rates has long been an intractable problem for spacecraft control system modeling. In the present paper,the fundamental eigenfrequencies and damping rates of liquid sloshing with small amplitude in a circular cylindrical tank with a spherical bottom were studied in the experimental way. And the resuits were compared with the numerical values of FEM obtained by the authors in the previous research. The numerical values of frequencies are close to the experimental results, and the numerical values of damping rates in the ease of clean surface are smaller than the experimental value. If the damping of contaminated free surface is introduced to the FEM computation by a factor, then the numerical values of damping rates can approximate to the experimental results. This kind of fuel tank is popular in some satellite series, so the results of the paper could be referenced for a practical engineering task.

关 键 词：晃动 实验 频率 阻尼 有限元 

分 类 号：O351[理学—流体力学]