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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (9): 979-984.

• 论文 • 上一篇    下一篇

MODAL PART ANALYSIS OF SLOSH OF THE LIQUID IN A CYLINDRICAL CONTAINER IN THE CASE OF SMALL BOND NUMBER

苟兴宇1, 王本利2, 马兴瑞3, 黄怀德4, 李铁寿1   

  1. 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
  • 收稿日期:1998-06-29 修回日期:1999-04-10 出版日期:1999-09-18 发布日期:1999-09-18
  • 基金资助:

    the National Defense Foundation(A96600-50)

MODAL PART ANALYSIS OF SLOSH OF THE LIQUID IN A CYLINDRICAL CONTAINER IN THE CASE OF SMALL BOND NUMBER

Gou Xingyu1, Wang Benli2, Ma Xingrui3, Huang Huaide4, Li Tieshou1   

  1. 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
  • Received:1998-06-29 Revised:1999-04-10 Online:1999-09-18 Published:1999-09-18
  • Supported by:

    the National Defense Foundation(A96600-50)

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摘要： 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 modal 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.

关键词: slosh, Bond number, modal part, modal part analysis

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 modal 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.

Key words: slosh, Bond number, modal part, modal part analysis

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