期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 119, 期 -, 页码 43-59出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2018.06.011
关键词
Composite; Phononic crystal; Metamaterial; Local resonator; Band gap; Flexural wave propagation; Bloch-Floquet analysis; Dynamic homogenization
资金
- Israel Science Foundation - Israel Academy of Sciences and Humanities [1912/15]
- United States-Israel Binational Science Foundation [2014358]
Dynamic homogenization aims at describing the macroscopic characteristics of wave propagation in microstructured systems. Using a simple method, we derive frequency dependent homogenized parameters that reproduce the exact dispersion relations of infinitely periodic flexural systems. Our scheme evades the need to calculate field variables at each point, yet capable of recovering them, if wanted. Through reflected energy analysis in scattering problems, we quantify the applicability of the homogenized approximation. We show that at low frequencies, our model replicates the transmission characteristics of semi-infinite and finite periodic media. We quantify the decline in the approximation as frequency increases, having certain characteristics sensitive to microscale details. We observe that the homogenized model captures the dynamic response of locally resonant media more accurately and across a wider range of frequencies than the dynamic response of media without local resonance. (C) 2018 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据