Modal Part Analysis of Slosh of the Liquid in a Cylindrical Container in the Case of Small Bond Number

Gou Xingyu; Wang Benli; Ma Xingrui; Huang Huaide; Li Tieshou

Volume 20 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(9): 913-918

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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Modal Part Analysis of Slosh of the Liquid in a Cylindrical Container in the Case of Small Bond Number

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 Date: 1998-06-29
Rev Recd Date: 1999-04-10
Publish Date: 1999-09-15

Abstract

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.
- slosh,
- Bond number,
- modal part,
- modal part analysis

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References

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