接触角对容器内晃动的影响

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Pub Date : 2004-08-08 DOI:10.1098/rspa.2004.1281

R. Kidambi, P. Shankar

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引用次数: 9

摘要

我们确定了恒定接触角对(i)矩形和圆柱形容器中的固有晃动频率的影响，以及(ii)二维矩形容器中的非线性晃动。在分析前者时，我们使用摄动和其他方法得到一些显式结果，然后用一种类似于Perko的新模态方法对结果进行校核和扩展。然后使用模态法计算(ii)中的非线性晃动响应。可以看出，响应显著依赖于接触角。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The effects of the contact angle on sloshing in containers

We determine the effects of a constant contact angle on (i) the natural slosh frequencies in rectangular and cylindrical containers, and (ii) the nonlinear sloshing in a two–dimensional rectangular container. In analysing the former we use perturbation and other methods to get some explicit results which are then checked and extended using a new modal method somewhat similar to that of Perko. The modal method is then used to calculate the nonlinear slosh response in (ii). It is seen that the response depends significantly on the contact angle.

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Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

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期刊介绍： Proceedings A publishes articles across the chemical, computational, Earth, engineering, mathematical, and physical sciences. The articles published are high-quality, original, fundamental articles of interest to a wide range of scientists, and often have long citation half-lives. As well as established disciplines, we encourage emerging and interdisciplinary areas.