单边周期环形谐振径向声子晶体结构

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (1) : 68-72.

论文

单边周期环形谐振径向声子晶体结构

吕锐翔，李丽霞，杨继博

作者信息 +

Radial phononic crystal structure with unilateral periodic ring resonance

L Ruixiang, LI Lixia, YANG JiboRadial phononic crystal structure with unilateral periodic ring resonance

Author information +

文章历史 +

摘要

对于大量应用于工业设备中的盘类结构，其往往作为设备中低频振动的载体或者传播体，本文基于局域共振机制设计并研究了一种对盘类结构振动可以产生有效抑制的单边周期环形谐振径向声子晶体结构。通过计算其结构的能带图，得到起始频率低于0.016并且宽度为0.064的低频带隙。进一步分析其能带图中特殊点本征位移场探讨了带隙的形成机制。同时计算了有限周期的频现函数曲线，验证了结构能带图的准确性。最后研究并探讨了结构参数变化对带隙的影响机制。

Abstract

For a large number of disk structures used in industrial equipment, they are often taken as carriers or propagators of low-frequency vibration. Here, based on the local resonance theory, a radical phononic crystal structure with unilateral periodic ring resonance was designed and studied to effectively suppress vibration of disk structures. By calculating its structure energy band diagram, a low frequency band gap with an initial frequency of less than 0.016 and a width of 0.064 was obtained. Furthermore, the intrinsic displacement field of special points in the energy band diagram was analyzed to explore the formation mechanism of band gap. At the same time, the frequency occurrence function curve of finite period was calculated to verify the correctness of the structure energy band diagram. Finally, the influence mechanism of structural parameters on band gap was studied and discussed.

导出引用

吕锐翔，李丽霞，杨继博. 单边周期环形谐振径向声子晶体结构[J]. 振动与冲击, 2021, 40(1): 68-72

L Ruixiang, LI Lixia, YANG Jibo. Radial phononic crystal structure with unilateral periodic ring resonance[J]. Journal of Vibration and Shock, 2021, 40(1): 68-72

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