Axisymmetric Free Hydroelastic Vibration of a Flexural Bottom Plate in a Cylindrical Tank Supported on an Elastic Foundation
Axisymmetric Free Hydroelastic Vibration of a Flexural Bottom Plate in a Cylindrical Tank Supported on an Elastic Foundation
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DOI：
10.1006/jsvi.1994.1024
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发表时间：
1994-01
影响因子：
4.7
通讯作者：
M. Chiba
中科院分区：
文献类型：
--
作者：
M. Chiba
摘要 对弹性基础上充液圆柱罐弹性底板的线性自由轴对称振动进行了理论分析。在分析中，考虑了由于静态液体压力而产生的板内面内力。对各种系统参数进行了数值计算：即半径与厚度之比、液板密度比、板材料参数和弹性基础刚度。发现对于薄底板来说，由于底板的静态挠曲而产生的面内力的影响是显着的。在这种情况下，高于第二模式的固有频率最初由于所含液体的附加质量效应而降低，然后由于面内力的增长而随着液体高度的增加而增加。在第一种模式中，影响很小，并且固有频率似乎没有随着液体高度的增加而增加。计算结果以图表形式表示，为柔性底部圆柱形容器的设计提供方便的数据。
Abstract Theoretical analysis has been carried out on the linear free axisymmetric vibration of an elastic bottom plate of liquid-filled cylindrical tank supported on an elastic foundation. In the analysis, in-plane forces in the plate due to the static liquid pressure were taken into account. Numerical calculations were carried out for various kinds of system parameters: i.e., the radius to thickness ratio, the liquid-plate density ratio, plate material parameters, and the stiffness of the elastic foundation. It was found that the influence of an in-plane force, due to the static deflection of the bottom plate, is prominent for a thin-bottomed plate. In this case, the natural frequencies higher than the second mode initially decrease due to the added mass effect of the contained liquid, and then increase with the liquid height due to the growth of the in-plane force. In the first mode, the influence is small and there seems to be no increase in the natural frequency with liquid height. The calculated results are represented in some graphs, which should provide convenient data for the design of a cylindrical container with a flexible bottom.