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·
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 model 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.
出处
《应用数学和力学》
EI
CSCD
北大核心
1999年第9期913-918,共6页
Applied Mathematics and Mechanics
基金
国防95 重点预研项目资助
