嵌套复式三角晶格固/气型声子晶体的带隙研究

胡家光;张 晋;敬守勇

振动与冲击 ›› 2009, Vol. 28 ›› Issue (8) : 121-123.

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PDF(1129 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (8) : 121-123.
论文

嵌套复式三角晶格固/气型声子晶体的带隙研究

  • 胡家光1,2, 张 晋2, 敬守勇3
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STUDY ON BAND GAPS OF NESTING COMPLEX TRIANGULAR LATTICE PHONONIC CRYSTAL WITH SOLID/AIR SYSTEM

  • HU Jia-guang1,2, ZHANG Jin 2, JING Shou-yong3
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摘要

设计了一种新型的嵌套复式三角晶格固/气型声子晶体,用两个相切的圆柱替代简单三角晶格中的每个单圆柱基元,采用平面波法计算了其弹性波带隙结构 。与简单三角晶格相比,嵌套复式三角晶格可以在更低的填充率及更低的频率位置产生宽带隙,在相同的填充率下,嵌套复式三角晶格最高可以获得宽度为4.4倍于简单三角晶格第一带隙宽度的最低带隙,而且中心频率低至简单三角晶格第一带隙中心频率的二分之一。

Abstract

The plane wave expansion method was employed to calculate the elastic wave band gaps of new nesting complex triangular lattice phononic crystal composed of steel columns embedded in air matrix, and each single column basis is replaced by two tangency-columns.Numerical results show that, compared with the simple triangular lattice phononic crystal, the wider band gaps appear at lesser filling-fraction and lower frequency area are easy to be obtained, at the same filling-fraction, the widest first band gap for the nesting complex triangular lattice is 4.4 times wider than that of the first band gap width of simple triangular lattice, and its mid-gap frequency is only half of the first mid-gap frequency of simple triangular lattice.

关键词

声子晶体 / 能带结构 / 弹性波带隙 / 平面波法

Key words

phononic crystal / band structure / elastic wave band gap / plane wave expansion method

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导出引用
胡家光;张 晋;敬守勇. 嵌套复式三角晶格固/气型声子晶体的带隙研究[J]. 振动与冲击, 2009, 28(8): 121-123
HU Jia-guang;ZHANG Jin;JING Shou-yong. STUDY ON BAND GAPS OF NESTING COMPLEX TRIANGULAR LATTICE PHONONIC CRYSTAL WITH SOLID/AIR SYSTEM[J]. Journal of Vibration and Shock, 2009, 28(8): 121-123
中图分类号: TB53   

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