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首页> 外文期刊>Journal of Sound and Vibration >Analytical solution for the transient wave propagation of a buried cylindrical P-wave line source in a semi-infinite elastic medium with a fluid surface layer
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Analytical solution for the transient wave propagation of a buried cylindrical P-wave line source in a semi-infinite elastic medium with a fluid surface layer

机译：具有流体表面层的半无限弹性介质中掩埋圆柱P波线源的瞬态波传播的分析解决方案

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AbstractThis article develops an analytical solution for the transient wave propagation of a cylindrical P-wave line source in a semi-infinite elastic solid with a fluid layer. The analytical solution is presented in a simple closed form in which each term represents a transient physical wave. The Scholte equation is derived, through which the Scholte wave velocity can be determined. The Scholte wave is the wave that propagates along the interface between the fluid and solid. To develop the analytical solution, the wave fields in the fluid and solid are defined, their analytical solutions in the Laplace domain are derived using the boundary and interface conditions, and the solutions are then decomposed into series form according to the power series expansion method. Each item of the series solution has a clear physical meaning and represents a transient wave path. Finally, by applying Cagniard's method and the convolution theorem, the analytical solutions are transformed into the time domain. Numerical examples are provided to illustrate some interesting features in the fluid layer, the interface and the semi-infinite solid. When the P-wave velocity in the fluid is higher than that in the solid, two head waves in the solid, one head wave in the fluid and a Scholte wave at the interface are observed for the cylindrical P-wave line source.]]>
机译：<！[CDATA [ 抽象 本文开发了一个分析解决方案，用于半柱面的圆柱形P波线源的瞬态波传播。无限的弹性固体，具有流体层。分析解决方案以简单的封闭形式呈现，其中每个术语代表瞬态物理波。 Scholte等式可导出，可以确定学者波速。学者波是沿着流体和固体之间的界面传播的波。为了开发分析解决方案，定义了流体和固体中的波场，使用边界和接口条件导出拉普拉斯域中的分析溶液，然后根据电力串联扩展方法将解决方案分解成串联形式。串联解决方案的每个项目都具有明显的物理意义，并且表示瞬态波路。最后，通过应用Cagniard的方法和卷积定理，分析解决方案转变为时域。提供数值示例以说明流体层中的一些有趣的特征，界面和半无限固体。当流体中的p波速度高于固体中的P波速度，在固体中的两个头部波，对于圆柱形p波线源，观察到流体中的一个头波和界面处的学者波浪。 ]]>

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