低重环境下俯仰运动圆柱贮箱内液体晃动

吴文军; 岳宝增

doi:10.6052/0459-1879-13-236

低重环境下俯仰运动圆柱贮箱内液体晃动

doi: 10.6052/0459-1879-13-236

吴文军^1,2,
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

基金项目: 国家自然科学基金资助项目（10772030）.

详细信息

作者简介:
吴文军，讲师，主要研究方向：复杂航天器的姿态稳定与控制.E-mail：wuwenjun25@163.com

中图分类号: V219
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- 文章访问数: 943
- HTML全文浏览量: 52
- PDF下载量: 1068
- 被引次数: 0
出版历程
- 收稿日期: 2013-07-16
- 修回日期: 2013-09-13
- 刊出日期: 2014-03-18

LOW-GRAVITY LIQUID SLOSHING IN CYLINDRICAL TANKS UNDER PITCHING EXCITATION

Wu Wenjun^1,2,
Yue Baozeng¹

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

Funds: The project was supported by the National Natural Science Foundation of China (10772030).

摘要

摘要: 考虑低重环境下由于表面张力的影响使得圆柱贮箱内液体呈现弯曲自由液面的情况，以俯仰激励下液体晃动的占优模态振型函数为晃动速度势的基函数，利用傅里叶-贝塞尔级数对贮箱受俯仰激励时的自由液面处的运动边界条件进行展开，得到能描述晃动系统本质的广义状态方程，并分别给出了固有频率、晃动波高、晃动力和晃动力矩等晃动特征的计算方法. 通过具体算例得到了俯仰激励下贮箱内液体晃动特征的动态响应，同时验证了文中方法的收敛性、可行性和正确性.
- 低重环境 /
- 圆柱贮箱 /
- 弯曲自由液面 /
- 俯仰激励 /
- 傅里叶-贝塞尔级数 /
- 广义状态方程
Abstract: The curved free surface of liquid in a cylindrical tank caused by surface tension under low-gravity environment is considered. The dominant modal vibration function of liquid sloshing under pitching excitation is selected as the basic function of velocity potential. The generalized state equation of liquid sloshing system is introduced by expanding the lateral sloshing boundary condition of the free surface to a Fourier-Bessel series, and the formulas of sloshing characteristics including wave height, sloshing frequencies, sloshing force and sloshing moment are also deduced, respectively. Through numerical calculation, the dynamic responses of sloshing characteristics are studied when the tank under pitching excitation. And the convergence, applicability and correctness of the present algorithm are validated.
- low-gravity environment /
- cylindrical tank /
- curved free surface /
- pitching excitation /
- Fourier-Bessel series /
- generalized state equations

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参考文献(20)

Leon JH, Reginald R. Low gravity liquid-vapor interface shapes in axisymmetric containers and a computer solution. NASA TMX-53790, 1968

Neu JT, Robert JG. Equilibrium behavior of fluids in containers at zero gravity. AIAA Journal, 1963, 1(4):814-819

Roel L, Joop A, Arthur E, et al. Liquid sloshing in microgravity. In: Proc. of 56th International Astronautical Congress 2005, Fukuoka, 17-21 October 2005

Michael V, Garry L, Daniel K, et al. Experimental and numerical investigation of reduced gravity fluid slosh dynamics. AIAA Paper 2008-4667, 2008

Brandon M, Sathya G, Yadira C. Using CFD techniques to predict slosh force frequency and damping rate. AIAA Paper 2009-2683, 2009

Brando M, David G, Paul S, et al. Integrated CFD and controls analysis interface for high accuracy liquid propellant slosh predictions. AIAA Paper 2012-038, 2012

Lazzarin M, Biolo M. EUCLID mission: Theoretical sloshing model and CFD comparison. AIAA Paper 2012-4296, 2012

Dodge FT, Garza LR. Experimental and theoretical studies of liquid sloshing at simulated low gravities. NASA NAS8-20290, 1966

Dodge F T, Garza L R. Experimental and theoretical studies of liquid sloshing at simulated low gravity. Journal of Applied Mechanics, 1967, 34(9): 555-562

Utsumi M. Low-Gravity propellant slosh analysis using spherical coordinates. Journal of Fluids and Structures, 1998, 12(1): 57-83

Utsumi M. Low-gravity sloshing in an axisymmetrical container excited in the axial direction. Journal of Applied Mechanics, 2000, 67: 344-354

Utsumi M. Low-gravity slosh analysis for cylindrical tanks with hemi ellipsoidal top and bottom. Journal of Spacecraft and Rockets, 2008, 45(4): 813-827

贺元军, 王萍萍, 马兴瑞等.低重环境下俯仰运动圆柱贮箱中液体非线性晃动.计算力学学报, 2008, 25(3): 291-296 (He Yuanjun, Wang Pingping, Ma Xingrui, et al. Low-gravity liquid nonlinear sloshing in a cylindrical tank under pitching excitation. Chinese Journal of Computational Mechanics, 2008, 25(3): 291-296 (in Chinese))

He YJ, Ma XR, Wang PP, et al. Low-gravity liquid nonlinear sloshing analysis in a tank under pitching excitation. Journal of Sound and Vibration, 2007, 299(1):167-177

岳宝增, 刘延柱, 王照林.低重力环境下三维液体非线性晃动的数值模拟.宇航学报, 2000, 21(4): 25-30 (Yue Baozeng, Liu Yanzhu, Wang Zhaolin. Liquid nonlinear sloshing under low gravity environment. Journal of Astronautics, 2000, 21(4): 25-30 (in Chinese))

岳宝增. 俯仰激励下三维液体大幅晃动问题研究. 力学学报, 2005, 37(2):199-203 (Yue Baozeng. Three dimensional large amplitude liquid sloshing under pitching excitation. Acta Mechanica Sinica, 2005, 37(2): 199-203 (in Chinese))

Abramson HN. The dynamic behavior of liquids in moving containers. NASA SP-106, 1966

Ibrahim RA. Liquid Sloshing Dynamics: Theory and Applications. Cambridge: Cambridge University Press, 2005

Salzman JA, Coney TA, Masica WJ. Effects of liquid depth on lateral sloshing under weightless conditions. NASA TN D-4458, 1968

黄文虎, 曹登庆, 韩增尧.航天器动力学与控制的研究进展与展望.力学进展, 2012, 42(4): 367-394 (Huang Wenhu, Cao Dengqing, Han Zengyao. Advances and trends in dynamics and control of spacecrafts. Advances in Mechanics, 2012, 42(4): 367-394 (in Chinese))

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