改变了垂直弹性罐的形式,有了液体

A. Volobuev, S. V. Krasnov, K. A. Adyshirin-zade, T. Antipova, Natalia N. Aleksandrova
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引用次数: 0

摘要

以启动台上的火箭燃料箱为例,证明了垂直弹性燃料箱的流体静力方程。根据规定的伯努利斯方程得到流体静力方程。我们借助于拉普拉斯在液体弹性表面下的压力公式来证明这一点,这种压力既可以由表面张力产生,也可以由弹性薄壁壳产生,就像在本任务中一样。所述垂直弹性罐具有刚性底和刚性顶带的形式,所述垂直弹性罐充满液体。结果表明,有必要使用《郭氏法》的特殊记录来接收油箱的形式。对这种形式进行了分析。给出了静水压力和拉伸弹性壁的体积能量密度在罐体高度上的分布,以及它们的总和。在此水平上,弹性水箱的面积增加最大。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Change of the form of the vertical elastic tank with a liquid
The kind of a hydrostatic equation for the vertical elastic tank, for example, a fuel tank of a rocket on a starting table is proved. The hydrostatic equation is received on the basis of specified Bernoullis equation. The substantiation is lead with the help of Laplaces formula for pressure under an elastic surface of a liquid which can arise both due to forces of a superficial tension, and due to an elastic thin-walled shell as in the present task. The form of the vertical elastic tank with a rigid bottom and the rigid top band, filled with a lied liquid is received. It is shown that it is necessary to use special record of the Gooks law for reception of the form of the tank. The analysis of this form is carried out. Distribution on height of the tank of hydrostatic pressure, volumetric density of energy of the stretched elastic wall, and also the sum of these sizes is shown. Hydrostatic pressure at which level there is a maximal increase in the area of the elastic tank is found.
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