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.
Periodic materials or structures own the capability of attenuating wave propagation over certain frequency bands,which is called band-gap characteristics,and the materials can be reasonably designed to adjust the location and width of band gaps.With the great potential applications such as filters,wave guides and sound or vibration isolation,the effect of the configuration in microstructure on the band-gap characteristics is investigated.First,the band-gap behaviors of elastic wave and the attenuation characteristics in localization in seven 2D periodic lattice topologies,namely triangular honeycomb,square honeycomb,ground honeycomb, hexagonal honeycomb,auxetic honeycomb,Kagome honeycomb and diamond honeycomb,are analyzed and compared.Objective function to measure low and wide band-gap character is proposed,and the optimal bandgap material is then selected.Furthermore,the laws of geometry configuration parameters affecting on the band-gap characteristics are obtained and numerically demonstrated.The techniques developed in this work can be applied in design periodic band-gap materials by adjusting geometry configurations in the microstructure.
出处
《力学学报》
EI
CSCD
北大核心
2011年第2期316-329,共14页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(90816025
10572030)
国家重点基础研究发展计划(973计划)(2011CB610304)
科技部国家重点实验室专项经费(S08102)资助项目~~
关键词
格栅材料
带隙
波传播
微结构
相常数表面
lattice material
band-gap
wave propagation
microstructure
phase constant surface
