Deflecting incident flexural waves by nonresonant single-phase meta-slab with subunits of graded thicknesses
Deflecting incident flexural waves by nonresonant single-phase meta-slab with subunits of graded thicknesses
复制标题
通过具有分级厚度子单元的非共振单相超板偏转入射弯曲波
DOI：
10.1016/j.jsv.2019.04.028
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发表时间：
2019-08
影响因子：
4.7
通讯作者：
Yang Zhichun
中科院分区：
文献类型：
--
作者：
Xu Yanlong;Cao Liyun;Yang Zhichun
我们提出了一种非共振单相元板与梯度厚度的偏转入射弯曲波的子单元。利用传输矩阵法（TMM）推导出了各子单元的传输系数和相移的解析解。给出了与行波路径长度有关的相移理论公式。有限元（FE）模拟波在子单元中的传播，并验证了解析解和理论预测。基于这些理论和数值计算工作，我们设计的元板偏转入射弯曲波根据广义斯涅耳定律（GSL）。进行了相应的有限元模拟和实验。他们之间的良好协议得到遵守。结果表明，所设计的复合板可以在较宽的频率范围内偏转入射的弯曲波。本文提出了一种结构简单的控制弯曲波的元结构设计方法，该方法有利于振动隔离、声辐射降低和能量收集。
We propose a nonresonant single-phase meta-slab with subunits of graded thicknesses for deflecting incident flexural waves. Analytic solutions of the transmission coefficient and the phase shift for the subunits are derived by the transfer matrix method (TMM). A theoretical formula related to the path length of the travelling wave is given to predict the phase shift. Finite element (FE) simulations for wave propagations in the subunits are conducted, and they verify the analytic solutions and the theoretical prediction. Based on these theoretical and numerical work, we design the meta-slab to deflect incident flexural waves according to the generalized Snell’s law (GSL). Corresponding FE simulations and experiments are performed. Good agreements between them are observed. They evidence that the designed meta-slab can deflect incident flexural waves in a broad frequency range. Our study presents a method of designing meta-structures with simple configurations for controlling flexural waves, which is conductive to vibration isolation, acoustic radiation reduction, and energy harvesting.
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影响因子：
2.6
作者：
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通讯作者：
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影响因子：
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影响因子：
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