上海交通大学学报

上海交通大学学报（自然版） ›› 2013, Vol. 47 ›› Issue (02): 167-172.

• 数理科学和化学 •    下一篇

六韧带手性结构的能带特性

 徐时吟, 黄修长, 华宏星   

  1. （上海交通大学 机械系统与振动国家重点实验室，上海 200240）
  • 收稿日期:2012-03-15 出版日期:2013-02-28 发布日期:2013-02-28
  • 基金资助:

    国家重点基础研究发展计划（973）项目（613100）

Study on the Band Structure of Hexagonal Chiral Structures

 XU  Shi-Yin, HUANG  Xiu-Chang, HUA  Hong-Xing   

  1. (State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University,Shanghai 200240, China)
  • Received:2012-03-15 Online:2013-02-28 Published:2013-02-28

摘要： 针对中低频段，基于周期结构的Bloch定理以及有限元理论，对六韧带手性胞元的频散特性进行了研究，得到了胞元的能带结构.同时分析了胞元的几何参数与节点填充材料对手性结构能带的影响.结果表明，当振动频率处于带隙范围内时，手性结构具有良好的衰减特性；几何参数对低频带隙有很大的影响，合适的参数可以使结构在特定频率出现带隙；而填充材料的加入可使结构在更低的频率产生带隙.这些研究结果将有助于指导手性结构在工程中的应用.    

关键词: 六韧带手性结构, Bloch定理, 频散特性, 带隙, 结构几何参数

Abstract: The Bloch theorem and finite element technique were applied to investigate the dispersion characteristics of hexagonal chiral cellular in the mid and low frequency. The effect of geometry parameters and the metamaterial inclusion on the distribution of the band gap was analyzed. The results demonstrate that the vibration transmission displays significant attenuation for the frequency located in the band gap. The distribution of the band gap in the low frquency is sensitive to the geometry parameter and can be tuned to the desired frequency and the metamaterial inclusion can promote the generation of the lowfrequency band gap. The research outcomes will lay a solid theoretical base for designing of isolation structures.  

Key words: hexagonal chiral structure, Bloch theorem, dispersion behavior, band gap, geometry parameter

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