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人工晶体学报 ›› 2021, Vol. 50 ›› Issue (7): 1371-1377.

• 研究论文 • 上一篇    下一篇

声子晶体中波传播的自准直效应

张昭, 张磊, 郭江川, 李加瑞, 王艺飞   

  1. 大连理工大学运载工程与力学学部工程力学系,工业装备结构国家重点实验室,大连 116024
  • 收稿日期:2021-04-21 出版日期:2021-07-15 发布日期:2021-08-16
  • 作者简介:张昭(1979—),男,河北省人,博士,教授。E-mail:zhangz@dlut.edu.cn
  • 基金资助:
    国家自然科学基金(11572074);辽宁省自然科学基金(2019-KF-05-07)

Self-Collimation Effect of Wave Propagation in Phononic Crystals

ZHANG Zhao, ZHANG Lei, GUO Jiangchuan, LI Jiarui, WANG Yifei   

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering Mechanics, Dalian University of Technology, Dalian 116024, China
  • Received:2021-04-21 Online:2021-07-15 Published:2021-08-16

摘要: 本文针对不同介质形成的周期性阵列结构进行了不同频率的波传输计算,发现波在阵列声子晶体结构中的传输特性与光在光子晶体中的自准直类似,具有波传播的自准直效应。进一步计算发现,波在声子晶体中传输的自准直特性与外部介质和阵列结构的材料属性密切相关,也与阵列结构单胞中金属柱的截面几何特性相关。波传播的自准直效应产生的频率范围随模量比的增加出现先增加后减小的现象,并且随密度比的增加而减小。设置合理的模量比、密度比等材料性质和截面几何性质,能够实现对阵列结构自准直效应中的波传播频率范围的控制,其中,等频线是周期性结构阵列自准直效应的重要设计依据。

关键词: 声子晶体, 阵列结构, 波传输, 自准直, 等频线

Abstract: The wave transmission in different arrayed structures with different media and different frequency domain was calculated. It is found that the self-collimation effect of wave can be found in the designed arrayed structure phononic crystals being similar to the self-collimation of light in photonic crystals. Further computations show that the wave self-collimation can be related to the designed media and the material properties in the arrayed structures. Moreover, this phenomenon can be also affected by the geometrical property of the cross section of the metal pillar in the arrayed structures. The frequency domain for the self-collimation effect of wave increases initilally and then decreases with the increase of the specific modulus, and it is decreased with the increase of the specific density. The optimal designs on specific modulus, specific density and the geometrical properties are the key factors to realize the controlling of frequency domain of the wave self-collimation effect in the arrayed structures. Equi-frequency contour is the key criterion for the design of the self-collimation effect of wave in the periodic arrayed structures.

Key words: phononic crystal, arrayed structure, wave transmission, self-collimation, equi-frequency contour

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