磁流变弹性体基声子晶体的弹性波可调拓扑传输研究

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (21) : 16-24.

论文

李潘玉 1，游世辉 1,2，李维 1，曾宪任 1,3，张圣东 1,3

作者信息 +

Adjustable topological transmission of elastic waves in MR elastic matrix-based phonon crystals

LI Panyu1, YOU Shihui1,2, LI Wei1, ZENG Xianren1,3, ZHANG Shengdong1,3

Author information +

文章历史 +

摘要

将规则的铁质三脚杆以六角晶格形式嵌入磁流变弹性基体中设计了一种二维声学超材料，通过计算分析结构元胞的色散关系，找出k点必然简并狄拉克点，并通过旋转单个三脚杆打破晶格结构的空间对称性使狄拉克点完成了打开—简并—打开的变化过程。模拟量子谷霍尔效应，在k点必然简并狄拉克点的变化过程中导致了不同的谷赝自旋之间能带发生反转，实现了拓扑相变。通过对声学超材料超元胞色散关系的计算，发现了结构中存在的拓扑边界态，利用拓扑边界态设计弹性波拓扑传输通道，实现了对弹性波的精确引导，并可以通过外加磁场改变磁流变基体材料的剪切模量来改变拓扑传输通道的频率范围，实现了对拓扑传输通道传输频率的非接触式主动调控。研究结果可以为噪声及振动等的智能控制提供相应的参考。

Abstract

A two-dimensional acoustic metamaterial is designed by embedding a regular iron tri-legged rod into a magnetorheological elastic matrix in the form of a hexagonal lattice, Through calculation and analysis of the structure of the unit cell dispersion relations, find the k point is bound to degenerate Dirac point, The spatial symmetry of lattice structure is broken by rotating a single tri-legged rod so that the change process of open-Degeneration-open-open is completed. With analog quantum valley Hall effect, in the change of the k point is bound to degenerate Dirac point led to different valley constraint in the process of reverse spin between bands, finally realizes the topological transformation. Dispersion relation is obtained by calculating acoustic metamaterial super cell, discovered topology boundary condition in this structure, The topological transmission channel is designed by using topological boundary state to guide the elastic wave accurately, and the frequency range of the topological transmission channel can be changed by changing the shear modulus of the Magnetorheological matrix material through the external magnetic field, so as to realize the non-contact active control of the transmission frequency of the topological transmission channel. The research results can provide reference for intelligent control of noise and vibration.

导出引用

李潘玉 1，游世辉 1,2，李维 1，曾宪任 1,3，张圣东 1,3. 磁流变弹性体基声子晶体的弹性波可调拓扑传输研究[J]. 振动与冲击, 2021, 40(21): 16-24

LI Panyu1, YOU Shihui1,2, LI Wei1, ZENG Xianren1,3, ZHANG Shengdong1,3. Adjustable topological transmission of elastic waves in MR elastic matrix-based phonon crystals[J]. Journal of Vibration and Shock, 2021, 40(21): 16-24

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