Nonlinear Coupling Dynamics of Liquid Filled Spherical Container in Microgravity

YUE Bao-zeng

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YUE Bao-zeng. Nonlinear Coupling Dynamics of Liquid Filled Spherical Container in Microgravity[J]. Applied Mathematics and Mechanics, 2008, 29(8): 983-990.

Citation:

YUE Bao-zeng. Nonlinear Coupling Dynamics of Liquid Filled Spherical Container in Microgravity[J]. Applied Mathematics and Mechanics, 2008, 29(8): 983-990.

Citation:

YUE Bao-zeng. Nonlinear Coupling Dynamics of Liquid Filled Spherical Container in Microgravity[J]. Applied Mathematics and Mechanics, 2008, 29(8): 983-990.

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Nonlinear Coupling Dynamics of Liquid Filled Spherical Container in Microgravity

YUE Bao-zeng

Department of Mechanics, School of Science, Beijing Institute of Technology, Beijing 100081, P. R. China

Received Date: 2007-06-21
Rev Recd Date: 2008-07-03
Publish Date: 2008-08-15

Abstract

Abstract

Nonlinear coupled dynamics of liquid-filled spherical container in microgravity is investigated.The goveniing equations of the low-gravity liquid sloshing in a convex asymmetrical container subjected to lateral excitation was obtained by variational principle and solved by a modal analysis method.The variational formulas were transformed into a fiequency equation in the form of a standard eigenvalue problem by the Galerldn method,in which admissible functions for the velocity potential and the liquid free surface displacement were determined analytically in terns of the Gauss hypergeometric series.The coupled dynamic equations of the liquid-filled container were derived using Ia,grange's method,and are numerically solved.The time histories of the modal solutions were obtained by numerical simulations.
- micrograuity,
- liquid-filled system,
- coupling c}namics,
- liquid sloshing,
- spacecraft

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References(13)

References

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