Dewar瓶内液体晃动的近似计算方法  

Approximate Calculation of Liquid Slosh in Dewar

作　　者：包光伟[1] 

机构地区：[1]上海交通大学工程力学系,上海200030

出　　处：《力学季刊》2002年第3期311-314,共4页Chinese Quarterly of Mechanics

基　　金：中船总公司国防基础研究基金(项目号:99J41.4.4)

摘　　要：本文研究Dewar瓶内液体的晃动特征问题,将液体晃动的微分方程边值问题转换为具有积分形式的泛函极值问题,在此基础上建立了旋转对称容器液体晃动特征问题的有限元数值计算方法和通用程序,并计算了Dewar瓶、球腔、圆柱腔液体的晃动固有频率,结果显示了Dewar瓶综合了球腔和圆柱腔液体晃动的特征,它将液体晃动频率控制在一窄带范围之内。利用该程序,本文又计算了Dewar瓶液体晃动的单摆模型。为了便于工程应用,本文提出了一种对Dewar瓶建立等效圆柱容器液体晃动模型的方法,给出了模型的参数变换公式,从而可以通过对圆柱容器液体晃动的解析计算得到Dewar瓶的液体晃动结果。利用数值计算结果,本文验算了近似计算方法的有效性和近似程度。The characteristic problem of liquid slosh in Dewar was investigated in the present paper. Firstly, the boundary value problem of differential equation of liquid slosh was transformed into the extreme-value problem of a functional in integral form. Based on the extreme-value principle, the finite element method was established and the corresponding program code was made. The eigen-frequencies of the Dewar, the spherical and the cylindrical container were obtained numerically and it was found that the eigen-frequency of liquid in Dewar varies in a narrow frequency band. Using this algorithm, the pendulum model of liquid slosh in Dewar was given. In order to facilitate engineering application, an equivalent cylindrical container of the Dewar was established and thus one can get the solution in analytical formulation. At last, comparing with the numerical solution, the availability and the degree of approximation of the equivalent model method was verified.

关 键 词：Dewar瓶 液体晃动 近似计算方法 泛函极值 航天器 

分 类 号：V414.1[航空宇航科学与技术—航空宇航推进理论与工程]