关于瑞利波的双曲方程

IF 0.6 4区物理与天体物理 Q4 MECHANICS

Doklady Physics Pub Date : 2023-03-24 DOI:10.1134/S1028335822100056

J. D. Kaplunov, D. A. Prikazchikov, R. F. Sabirova

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引用次数: 1

摘要

导出了在规定表面载荷作用下瑞利波的一维双曲方程。波浪算符与垂直坐标无关，垂直坐标只出现在方程的右侧，作为作用于给定荷载的伪微分算符中的一个参数。结果表明，对于经典的二维Lamb问题，该算子使表面集中脉冲随着深度的增加而平滑。所建议的公式能够揭示表面弹性波的特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On a Hyperbolic Equation for the Rayleigh Wave

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On a Hyperbolic Equation for the Rayleigh Wave

A 1D hyperbolic equation is derived for the Rayleigh wave induced by prescribed surface loading. The wave operator turns out to be independent of the vertical coordinate, which appears only in the right hand side of the equation as a parameter within the pseudo-differential operator acting on the given load. It is shown that in case of the classical 2D Lamb problem this operator causes smoothening of the surface concentrated impulse as the depth increases. The suggested formulation enables revealing of the peculiarities of surface elastic wave.

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来源期刊

Doklady Physics 物理-力学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

4-8 weeks

期刊介绍： Doklady Physics is a journal that publishes new research in physics of great significance. Initially the journal was a forum of the Russian Academy of Science and published only best contributions from Russia in the form of short articles. Now the journal welcomes submissions from any country in the English or Russian language. Every manuscript must be recommended by Russian or foreign members of the Russian Academy of Sciences.