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首页> 外文期刊>Journal of Mathematical Sciences >ON THE DISPERSION OF NONSTATIONARY SURFACE WAVES IN ANISOTROPIC ELASTIC MEDIA
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ON THE DISPERSION OF NONSTATIONARY SURFACE WAVES IN ANISOTROPIC ELASTIC MEDIA

机译:各向异性弹性介质中非平稳表面波的色散

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摘要

The whispering gallery modes propagating along the surface of an anisotropic elastic body are investigated with the use of space-time caustic expansions and space-time ray series. Each surface mode modulated in amplitude and frequency, is interpreted as a wave packet, with its amplitude's maximum moving at a group velocity. On the boundary surface, asymptotic expressions for the group velocity (as a function of time and coordinates) are derived, which are in agreement with analogous formulas for Rayleigh waves of SV type in the isotropic case.
机译:沿时空苛性膨胀和时空射线序列研究了沿着各向异性弹性体表面传播的回音壁模式。每个在振幅和频率上调制的表面模式都被解释为一个波包,其振幅的最大值以群速度移动。在边界面上,推导了群速度的渐近表达式(作为时间和坐标的函数),与各向同性情况下SV型瑞利波的类似公式一致。

著录项

  • 来源
    《Journal of Mathematical Sciences》 |2007年第6期|p.2689-2696|共8页
  • 作者

    Z. A. Yanson;

  • 作者单位

    St.Petersburg Department of the Steklov Mathematical Institute. St. Petersburg, Russia;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 数学;
  • 关键词

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