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黄毓 刘书田. 二维格栅材料带隙特性分析与设计[J]. 力学学报, 2011, 43(2): 316-329. DOI: 10.6052/0459-1879-2011-2-lxxb2010-047
引用本文: 黄毓 刘书田. 二维格栅材料带隙特性分析与设计[J]. 力学学报, 2011, 43(2): 316-329. DOI: 10.6052/0459-1879-2011-2-lxxb2010-047
Huang Yu Liu Shutian. Analysis and design of two dimensional lattice materials with band-gap characteristics[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(2): 316-329. DOI: 10.6052/0459-1879-2011-2-lxxb2010-047
Citation: Huang Yu Liu Shutian. Analysis and design of two dimensional lattice materials with band-gap characteristics[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(2): 316-329. DOI: 10.6052/0459-1879-2011-2-lxxb2010-047

二维格栅材料带隙特性分析与设计

Analysis and design of two dimensional lattice materials with band-gap characteristics

  • 摘要: 周期性材料或结构常表现出阻断特定频段的波传播的特异性质(带隙性质),通过合理设计可以调整带隙的位置和带宽等, 带隙材料在滤波、导波、隔音、隔振等方面有巨大的应用潜力. 据此背景, 研究了材料微结构构型对带隙性质的影响. 分析和比较了三角形、米字形、四边形、六边形、反六边形、Kagome形和钻石形等7种典型拓扑构形格栅材料的带隙性质与弹性波在其中的局部衰减特性, 提出了可表征特定带隙性质的目标函数, 从而对不同构型的材料进行选优; 进一步得到并数值验证了材料微结构中几何参数对带隙性质的影响规律, 为通过改变构型几何参数设计具有特定性质的带隙材料提供参考.

     

    Abstract: Periodic materials or structures own the capability ofattenuating wave propagation over certain frequency bands, which is calledband-gap characteristics, and the materials can be reasonably designed toadjust the location and width of band gaps. With the great potentialapplications such as filters, wave guides and sound or vibration isolation,the effect of the configuration in microstructure on the band-gapcharacteristics is investigated. First,the band-gap behaviors of elastic wave and the attenuationcharacteristics in localization in seven 2D periodiclattice topologies, namely triangular honeycomb, square honeycomb, groundhoneycomb, hexagonal honeycomb, auxetic honeycomb, Kagome honeycomb anddiamond honeycomb, are analyzed and compared. Objective function to measurelow and wide band-gap character is proposed, and the optimal band-gapmaterial is then selected. Furthermore, the laws of geometry configurationparameters affecting on the band-gap characteristics are obtained andnumerically demonstrated. The techniques developed in this work can beapplied in design periodic band-gap materials by adjusting geometryconfigurations in the microstructure.

     

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