弹性底板有限长方形容器内液体晃动

Liquid Sloshing in Elastic Rectangular Container with Finite Size and Elastic Bottom

考虑了具有弹性底板的部分充液的有限长方形容器内的液体的耦合晃动问题。采用能量法导出了耦合频率的方程，数值结果表明基频随液面高度增加而提高，且趋向于刚性容器内的液体晃动的极限基频。

This paper studies the coupled oscillations of liquid in a partially-filled container of finite size and having an elastic bottom and rigid walls. The effect of the flexibility of the bottom of the rectangular tank shows a reduction of natural frequency of the system. The frequency increases with the increase of the depth of the liquid and gradually approaches to that of the rigid container. The more flexible the bottom, the lower the frequency will be.