宇航学报

宇航学报 ›› 2014, Vol. 35 ›› Issue (4): 397-403.doi: 10.3873/j.issn.1000-1328.2014.04.004

• 飞行器设计与力学 • 上一篇    下一篇

低重环境下圆柱贮箱内液体晃动特性研究的一种解析法

吴文军，岳宝增   

  1. 1. 北京理工大学宇航学院，北京 100081； 2. 广西科技大学汽车与交通学院，柳州 545006
  • 收稿日期:2013-03-20 修回日期:2013-08-06 出版日期:2014-04-15 发布日期:2014-04-25
  • 基金资助:

    国家自然科学基金（10772030）

An Analytical Method for Studying the Sloshing Properties of Liquid in Cylindrical Tank under Low Gravity Environment

WU Wen jun,  YUE Bao zeng   

  1. 1.School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China；
     
    2.School of Automobile and Traffic Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China
  • Received:2013-03-20 Revised:2013-08-06 Online:2014-04-15 Published:2014-04-25

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摘要：

考虑低重环境下圆柱贮箱内由于表面张力影响而呈现弯曲自由液面的情况，利用Fourier Bessel级数对贮箱受横向激励时的自由液面处的边界条件进行展开，得到液体晃动系统的广义状态方程，给出了固有频率、晃动波高、晃动力和晃动力矩等晃动特性的计算公式。通过数值算例与文献结果对比，在验证文中方法正确性的同时，具体研究了各晃动特性随充液深度、外激励频率和Bond数等参数变化的规律。

关键词: 低重环境, 圆柱贮箱, 弯曲自由液面, Fourier Bessel级数, 广义状态方程

Abstract:

The curved free surface of liquid in cylindrical tank caused by surface intension under low gravity environment is considered. The generalized state equation of liquid sloshing system is obtained by using Fourier Bessel series for expanding the lateral sloshing boundary condition of free surface and the formulas of sloshing characteristics including wave height, sloshing frequencies, sloshing force and sloshing moment are deduced. The detail effects of sloshing parameters including liquid filling depth, exciting frequency and Bond number on the sloshing characteristics are presented, and the availability and reliability of the presented method are confirmed by numerous numerical experiments.
 

Key words: Low gravity environment, Cylindrical tank, Curved free surface, Fourier Bessel series, Generalized state equation

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