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arXiv 1509.05367math.AP
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结构板中弯曲波的动态界面捕获

Dynamic interfacial trapping of flexural waves in structured plates

Stewart G. Haslinger, Richard V. Craster, Alexander B. Movchan, Natasha V. Movchan, Ian S. Jones

摘要:

本文提出了新的结果,局部化和传输的弯曲波的结构板包含一个半无限的二维阵列的刚性销。特别是,表面波识别和研究之间的界面边界的弯曲板的齐次部分和刚性销所占据的部分。一个正式的连接已与弯曲布洛赫波的色散特性在一个无限的双周期阵列的刚性针。特别注意的是给予政权对应的驻波的不同类型,以及Dirac-like点,可能会发生在色散表面。一个单一的半光栅的问题,迄今为止在文献中没有报道,也带来了有趣的解决方案。

英文摘要:

The paper presents new results on localisation and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, surface waves are identified and studied at the interface boundary between the homogeneous part of the flexural plate and the part occupied by rigid pins. A formal connection has been made with the dispersion properties of flexural Bloch waves in an infinite doubly periodic array of rigid pins. Special attention is given to regimes corresponding to standing waves of different types as well as Dirac-like points, that may occur on the dispersion surfaces. A single half-grating problem, hitherto unreported in the literature, is also shown to bring interesting solutions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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