| 圆柱形贮箱液晃系统稳定性边界分析 |
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| 引用本文： | 李清,余本嵩,金栋平.圆柱形贮箱液晃系统稳定性边界分析[J].动力学与控制学报,2017,15(5):467-471. |
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| 作者姓名： | 李清 余本嵩 金栋平 |
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| 作者单位： | 南京航空航天大学机械结构力学及控制国家重点实验室,南京,210016 |
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| 基金项目： | 国家自然科学基金资助项目（11672125）及江苏高校优势学科建设工程资助项目 |
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| 摘 要： | 本文研究了纵向激励下液晃系统的稳定性边界.首先利用等效摆模型获得纵向激励下液体晃动的等效动力学Mathieu方程,然后利用摄动法得到随阻尼、储液高度及贮箱直径变化时的液晃系统的稳定区域.结果表明,液体晃动阻尼、储液量及贮箱尺寸对晃动稳定性具有显著影响.
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| 关 键 词： | 液体晃动 等效力学模型 Mathieu方程 稳定性边界 |
| 收稿时间： | 2016/10/9 0:00:00 |
| 修稿时间： | 2016/12/16 0:00:00 |
Stability boundaries of liquid-sloshing system for a cylinarical tank |
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| Li Qing,Yu Bensong and Jin Dongping.Stability boundaries of liquid-sloshing system for a cylinarical tank[J].Journal of Dynamics and Control,2017,15(5):467-471. |
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| Authors: | Li Qing Yu Bensong and Jin Dongping |
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| Abstract: | This paper studied the sloshing stability of a liquid-filled cylindrical tank subjected to longitudinal excitation. A pendulum model is used to obtain equivalent dynamics Mathieu equation of the liquid sloshing under the longitudinal excitation. Based on the perturbation method, the stability boundaries are then obtained with the variation of the damping, liquid height and diameter of the tank. The results show that the damping, the liquid height and the diameter of tank have an important effect on stability boundaries. |
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| Keywords: | liquid sloshing equivalent mechanical model Mathieu equation stability boundary |
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