Sloshing of Liquid in Rigid Cylindrical Container with a Rigid Annular Baffle. Part I: Free Vibration
Sloshing of Liquid in Rigid Cylindrical Container with a Rigid Annular Baffle. Part I: Free Vibration
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DOI：
10.3233/sav-2012-0681
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发表时间：
2012
影响因子：
1.6
通讯作者：
Jiadong Wang;D. Zhou;W. Q. Liu
中科院分区：
文献类型：
--
作者：
Jiadong Wang;D. Zhou;W. Q. Liu
本文提出了一种求解带有刚性环形挡板的圆柱形容器中理想液体晃动固有频率和振型的解析方法。分析中考虑了液体的自由表面波。通过引入人工界面，将复杂的液相区域划分为若干个简单的子区域。利用分离变量法和叠加原理，得到了各子域对应的液体速度势的精确解析解。利用自由液面和人工界面上的Fourier-Bessel展开，精确地导出了本征频率方程。收敛性研究表明，该方法精度高，收敛速度快。与文献中的结果进行了比较研究，取得了很好的一致性。数值结果显示的固有频率和模式的变化与位置和内径的环形挡板。
An analytical approach is presented to obtain the sloshing natural frequencies and modes of ideal liquid in a rigid cylindrical container with a rigid annular baffle. The free surface waves of the liquid are considered in the analysis. The artificial interfaces are introduced to divide the complicated liquid domain into several simple sub-domains. The exact analytical solutions of velocity potential of liquid corresponding to every sub-domain are obtained by using the method of separation of variables and the superposition principle. The Eigen-frequency equation is precisely derived by using the Fourier-Bessel expansion on the free surface and the artificial interfaces of the liquid. The convergence study shows high accuracy and fast convergence of the present approach. The comparative studies with those available from literature are made, excellent agreements have been achieved. Numerical results showing the variations of natural frequencies and modes versus position and inner diameter of the annular baffle are provided.