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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (5): 528-540.

• 论文 • 上一篇    下一篇

FORCES AND MOMENTS OF THE LIQUID FINITE AMPLITUDE SLOSHING IN A LIQUID-SOLID COUPLED SYSTEM

苟兴宇1, 李铁寿1, 马兴瑞2, 王本利3   

  1. 1. Beijing Institute of Control Engineering, Beijing 100080, P. R. China;
    2. China Aerospace Science and Technology Group, Beijing 100830, P. R. China;
    3. Harbin Institute of Technology, Harbin 150001, P. R. China
  • 收稿日期:2000-01-07 修回日期:2000-12-26 出版日期:2001-05-18 发布日期:2001-05-18
  • 基金资助:

    the National Defense Foundation of China(A96600-50)

FORCES AND MOMENTS OF THE LIQUID FINITE AMPLITUDE SLOSHING IN A LIQUID-SOLID COUPLED SYSTEM

GOU Xing-yu1, LI Tie-shou1, MA Xing-rui2, WANG Ben-li3   

  1. 1. Beijing Institute of Control Engineering, Beijing 100080, P. R. China;
    2. China Aerospace Science and Technology Group, Beijing 100830, P. R. China;
    3. Harbin Institute of Technology, Harbin 150001, P. R. China
  • Received:2000-01-07 Revised:2000-12-26 Online:2001-05-18 Published:2001-05-18
  • Supported by:

    the National Defense Foundation of China(A96600-50)

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摘要： Nonlinear coupling dynamics between a spring-mass system and a finite amplitude sloshing system with liquid in a cylindrical tank is investigated. Based on a. group of. nonlinear coupling equations of six degrees of freedoms, analytical formulae of forces and moments of the liquid large amplitude sloshing were obtained. Nonlinearity of. the forces. and moments of the sloshing was induced by integrating on final configuration of liquid sloshing and the nonlinear terms in the liquid pressure formula. The symmetry between the formula of Ox and Oy direction proves that the derivation is correct. According to the coupled mechanism, the formulae are available in other liquid-solid coupled systems. Simulations and corresponding experimental results arecompared. It is shown that the forces and moments formulae by integrating on the final sloshing configuration are more reasonable. The omitted high-dimensional modal bases and high-order nonlinear terms and the complexity of sloshing damping are main sources of errors.

Abstract: Nonlinear coupling dynamics between a spring-mass system and a finite amplitude sloshing system with liquid in a cylindrical tank is investigated. Based on a. group of. nonlinear coupling equations of six degrees of freedoms, analytical formulae of forces and moments of the liquid large amplitude sloshing were obtained. Nonlinearity of. the forces. and moments of the sloshing was induced by integrating on final configuration of liquid sloshing and the nonlinear terms in the liquid pressure formula. The symmetry between the formula of Ox and Oy direction proves that the derivation is correct. According to the coupled mechanism, the formulae are available in other liquid-solid coupled systems. Simulations and corresponding experimental results arecompared. It is shown that the forces and moments formulae by integrating on the final sloshing configuration are more reasonable. The omitted high-dimensional modal bases and high-order nonlinear terms and the complexity of sloshing damping are main sources of errors.

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