| 小Bond数条件下圆柱贮箱中液体晃动的模部分析 |
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| 引用本文： | 苟兴宇,王本利,马兴瑞,黄怀德,李铁寿.小Bond数条件下圆柱贮箱中液体晃动的模部分析[J].应用数学和力学,1999,20(9):913-918. |
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| 作者姓名： | 苟兴宇 王本利 马兴瑞 黄怀德 李铁寿 |
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| 作者单位： | 1.北京控制工程研究所, 北京 100080; |
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| 基金项目： | 国防95 重点预研项目资助 |
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| 摘 要： | 运用模部分析方法考察了小Bond数条件下圆柱贮箱中弯曲静液面对液体晃动模态的重构作用.研究表明,圆柱贮箱中的液体作小幅晃动时,参与晃动的各阶基本模态的正交性若仅由Bessel模部来给出,则弯曲静液面将使各阶模态加权耦合,形成新的特征模态;参与晃动的各阶基本模态的正交性若由三角函数模部来给出,则弯曲静液面将独立改变各阶模态的固有频率,各阶模态之间不耦合.运用新的重构模态来研究圆柱贮箱中液体的横向受迫晃动,给出了其模态选择特征.
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| 关 键 词： | 晃动 Bond数 模部 模部分析 |
| 收稿时间： | 1998-06-29 |
Modal Part Analysis of Slosh of the Liquid in a Cylindrical Container in the Case of Small Bond Number |
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| Gou Xingyu,Wang Benli,Ma Xingrui,Huang Huaide,Li Tieshou.Modal Part Analysis of Slosh of the Liquid in a Cylindrical Container in the Case of Small Bond Number[J].Applied Mathematics and Mechanics,1999,20(9):913-918. |
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| Authors: | Gou Xingyu Wang Benli Ma Xingrui Huang Huaide Li Tieshou |
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| Institution: | 1.Beijing Institute of Control Engineering, Beijing 100080, P. R. China;2.Harbin Institute of Technology, Harbin 150001, P. R. China;3.Chinese Academy of Space Technology, Beijing 100081, P. R. China;4.Chinese Academy of Launch-Vehicle Technology, Beijing 100076, P. R. China |
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| Abstract: | Reconstruction of liquid free slosh modes by curved quiet free surface was investigated in the case of small bond number by means of modal part analysis method in this paper. It is shown that the curved liquid quiet free surface would couple the modes to form new eigen_modes while the orthogonality of the modes which participate the liquid slosh are given only by their Bessel modal parts and it would change their eigen_frequencies respectively while the orthogonality are given by their triangle function model parts. By studying the laterally forced slosh of the liquid in a cylindrical container based on the new eigen_modes, a characteristic of modes_choosing was found. |
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| Keywords: | slosh Bond number modal part modal part analysis |
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