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首页> 外文期刊>International journal of applied mechanics and engineering >GENERATION OF WAVES IN TWO SUPERPOSED FLUIDS COVERED BY AN ELASTIC PLATE IN THE PRESENCE OF RUNNING STREAM
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GENERATION OF WAVES IN TWO SUPERPOSED FLUIDS COVERED BY AN ELASTIC PLATE IN THE PRESENCE OF RUNNING STREAM

机译：有运行痕迹的弹性板覆盖的两种叠加流体中的波浪生成

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摘要

This paper is concerned with the problem of two-dimensional wave generation due to an initial disturbance created at the upper surface of two superposed fluid layers in the presence of uniform running streams. The upper fluid of finite height is covered by a thin elastic plate. The lower fluid of finite depth is separated from the upper one by a common interface. Assuming linear theory, the problem is formulated as a coupled initial value problem of the velocity potentials describing the motion in the two fluids. In the mathematical analysis, the Laplace and Fourier transform techniques have been utilized to obtain the elevations at the upper fluid surface and the interface in the form of infinite integrals involving the initial elevation due to plate deflection. As a special case when the initial elevation concentrated at a point on the upper surface, these integrals are evaluated asymptotically by the method of stationary phase. The asymptotic forms of the upper surface elevation and the interface elevation are depicted graphically in a number of figures. The effects of the upper fluid covered by an elastic plate and the presence of running streams on the wave motion are discussed.
机译：本文涉及二维波的产生问题，该二维波是由于在存在均匀流动流的情况下在两个叠加的流体层的上表面产生的初始扰动而引起的。有限高度的上部流体被薄的弹性板覆盖。有限深度的下部流体通过一个公共接口与上部流体分开。假设线性理论，则将该问题表述为描述两种流体中运动的速度势的耦合初始值问题。在数学分析中，拉普拉斯和傅里叶变换技术已被用于获得上部流体表面和界面处的高程，其形式为无限积分，涉及由于板的挠度而引起的初始高程。作为一种特殊情况，当初始标高集中在上表面的某个点上时，这些积分将通过固定相方法渐近评估。上表面标高和界面标高的渐近形式在许多图中以图形方式描绘。讨论了由弹性板覆盖的上部流体和流动流的存在对波动的影响。

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