小Bond数条件下圆柱贮箱中液体晃动的模部分析

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基金项目: 国防95 重点预研项目资助项目(A966000-50)

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

摘要: 运用模部分析方法考察了小Bond数条件下圆柱贮箱中弯曲静液面对液体晃动模态的重构作用.研究表明,圆柱贮箱中的液体作小幅晃动时,参与晃动的各阶基本模态的正交性若仅由Bessel模部来给出,则弯曲静液面将使各阶模态加权耦合,形成新的特征模态;参与晃动的各阶基本模态的正交性若由三角函数模部来给出,则弯曲静液面将独立改变各阶模态的固有频率,各阶模态之间不耦合.运用新的重构模态来研究圆柱贮箱中液体的横向受迫晃动,给出了其模态选择特征.
- 晃动 /
- Bond数 /
- 模部 /
- 模部分析
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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