宇航学报

宇航学报 ›› 2016, Vol. 37 ›› Issue (3): 268-274.doi: 10.3873/j.issn.1000-1328.2016.03.004

• 飞行器设计与力学 • 上一篇    下一篇

横向激励下液体大幅晃动建模分析

苗楠，李俊峰，王天舒   

  1. 清华大学航天航空学院，北京100084
  • 收稿日期:2015-04-13 修回日期:2015-05-13 出版日期:2016-03-15 发布日期:2016-03-25
  • 基金资助:

    国家自然科学基金（11172145）

Modeling Analysis of Large Amplitude Liquid Sloshing Under Lateral Excitation

MIAO Nan, LI Jun feng, WANG Tian shu   

  1. School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
  • Received:2015-04-13 Revised:2015-05-13 Online:2016-03-15 Published:2016-03-25

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摘要：

研究部分充液球形贮箱内的液体在横向推力作用下发生大幅晃动的等效力学模型，建模过程同时考虑平动和转动激励。建立一种新的等效模型，首次提出液体的静平衡表面垂直于等效重力方向的假设，将液体的大幅运动分解为跟随等效重力的整体运动和在此基础上的小幅晃动，该等效模型能够更好地模拟液体大幅晃动情形。将仿真得到的晃动力和力矩与传统等效模型及Flow-3d的结果进行对比，验证了新模型的有效性和准确性。该模型可应用于探月软着陆悬停避障过程等实际工程问题中。

关键词: 液体晃动, 等效力学模型, 静平衡, 大幅晃动, 球形贮箱

Abstract:

An equivalent mechanical model for large-amplitude liquid sloshing in partially filled spherical tanks subject to lateral excitations is investigated in consideration of both translational and rotational excitations. A new equivalent mechanical model is established in this paper, and the hypothesis is first proposed that the static equilibrium liquid surface is perpendicular to the orientation of equivalent gravity. A better simulation of large-amplitude liquid sloshing is shown by decomposing large-amplitude motion of the liquid into bulk motion following the equivalent gravity and additional small-amplitude sloshing. The effectiveness and accuracy of the model are verified by comparing the sloshing forces and torques with results of the traditional equivalent model and Flow-3d. The model can be used for practical engineering problems such as hovering over moon and obstacle avoidance during lunar soft landing.

Key words: Liquid sloshing, Equivalent mechanical model, Static equilibrium, Large-amplitude sloshing, Spherical tank

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