Two-dimensional locally resonant phononic crystals with binary structures
Two-dimensional locally resonant phononic crystals with binary structures
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DOI：
10.1103/physrevlett.93.154302
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发表时间：
2004-10-08
影响因子：
8.6
通讯作者：
Liu, YZ
中科院分区：
文献类型：
--
作者：
Wang, G;Wen, XS;Liu, YZ
应用集中质量法研究了弹性波在二维二元周期系统中的传播，周期性的软橡胶/环氧树脂和真空/环氧树脂复合材料，对于这些复合材料，常规方法失败或收敛非常缓慢。本文对二维二元局域共振声子晶体进行了全面的研究，这种声子晶体是由周期性的软橡胶圆柱体浸没在环氧树脂基体中构成的。数值模拟结果表明，由于软质橡胶的质量密度和弹性常数的高反差，也会出现亚频隙。通过对二维模型及其准一维力学模拟的研究，深入分析了亚频隙形成的局部共振机制。找到了判断声子晶体中某一谐振模是否会产生相应的次频隙的准则。
The lumped-mass method is applied to study the propagation of elastic waves in two-dimensional binary periodic systems, i.e., periodic soft rubber/epoxy and vacuum/epoxy composites, for which the conventional methods fail or converge very slowly. A comprehensive study is performed for the two-dimensional binary locally resonant phononic crystals, which are composed of periodic soft rubber cylinders immersed in epoxy host. Numerical simulations predict that subfrequency gaps also appear because of the high contrast of mass density and elastic constant of the soft rubber. The locally resonant mechanism in forming the subfrequency gaps is thoroughly analyzed by studying the two-dimensional model and its quasi-one-dimensional mechanical analog. The rule used to judge whether a resonant mode in the phononic crystals can result in a corresponding subfrequency gap or not is found.