圆柱贮箱液体非线性晃动的多维模态分析方法

余延生; 马兴瑞; 王本利

圆柱贮箱液体非线性晃动的多维模态分析方法

哈尔滨工业大学卫星技术研究所,哈尔滨 150001;2.中国航天科技集团,北京 100830

基金项目: 国防十五预研资助项目(41320020301)

详细信息

作者简介:
余延生(1980- ),男,安徽安庆人,博士生(联系人.E-mail:hitxiaobai@163.com).

中图分类号: O353.1
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- 被引次数: 0
出版历程
- 收稿日期: 2006-05-15
- 修回日期: 2007-03-29
- 刊出日期: 2007-08-15

Multidimensional Modal Analysis of Liquid Nonlinear Sloshing in Right Circular Cylindrical Tank

Research Center of Satellite Technology, Harbin Institute of Technology, Harbin 150001, P. R. China;

摘要

摘要: 将Faltinsen等提出的多维模态理论应用到求解圆柱贮箱液体非线性晃动问题中．根据Narimanov-Moiseiev的三阶渐近假设关系，通过选取主导模态以及确定它们的阶次关系，将一般形式的无穷维模态系统降为五维渐近模态系统，即描述自由液面波高的广义坐标之间相互耦合的二阶非线性常微分方程组．通过对这个模态系统的数值积分，得到了与以前的理论分析和实验结果相吻合的非线性现象．研究结果表明,多维模态方法是用来求解液体非线性晃动动力学的一个很好的工具．在我们的下一步工作中，将继续发展这种方法，用来研究更为复杂的晃动问题．
- 圆柱贮箱 /
- 非线性自由晃动 /
- 多维模态方法 /
- 渐近模态系统 /
- 耗散效应
Abstract: The multidimensional modal theory proposed by Faltinsen,et al(2000)was applied to solve liquid nonlinear free sloshing in right circular cylindrical tank.After selecting the leading modes and fixing the order of magnitudes based on the Narimanov-Moiseiev third order asymptotic hypothesis, the general infinite dimensional modal system was reduced to a five dimensional asymptotic modal system(the system of second order nonlinear ordinary differential equations coupling the generalized time dependent coordinates of free surface wave elevation).The numerical integrations of this modal system discover most important nonlinear phenomena,which agree well with both pervious analytic theories and experimental observations.The results indicate that the multidimensional modal method is a very good tool for solving liquid nonlinear sloshing dynamics and will be developed to investigate more complex sloshing problem in our following work.
- circular cylindrical tank /
- nonlinear free sloshing /
- multidimensional modal method /
- asymptotic modal system /
- dispersion effect

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参考文献(18)

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