声子晶体板中低频宽禁带的形成机理

李锁斌 1; 窦益华 1; 陈天宁 2; 万志国 1

doi:10.7652/xjtuxb201812023

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声子晶体板中低频宽禁带的形成机理

更新时间：2025-05-08

- 声子晶体板中低频宽禁带的形成机理
- Forming Mechanisms of Low-Frequency Broad Band Gaps in Locally Resonant Phononic Crystal Plates
- 西安交通大学学报 2018年52卷第12期页码：159-166
- 作者机构：
  
  西安石油大学机械工程学院,西安,710065
- 作者简介：
- 基金信息：
  
  : 2018-05-18。作者简介: 李锁斌(1984-),男,博士,讲师;陈天宁(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(51674199)
- DOI：10.7652/xjtuxb201812023
  中图分类号： O735
- 网络首发：2018-12-10，
  
  纸质出版：2018
- 稿件说明：
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李锁斌 1, 窦益华 1, 陈天宁 2, 等. 声子晶体板中低频宽禁带的形成机理[J]. 西安交通大学学报, 2018,52(12):159-166.

Forming Mechanisms of Low-Frequency Broad Band Gaps in Locally Resonant Phononic Crystal Plates[J]. 2018, 52(12): 159-166.
李锁斌 1, 窦益华 1, 陈天宁 2, 等. 声子晶体板中低频宽禁带的形成机理[J]. 西安交通大学学报, 2018,52(12):159-166. DOI： 10.7652/xjtuxb201812023.

Forming Mechanisms of Low-Frequency Broad Band Gaps in Locally Resonant Phononic Crystal Plates[J]. 2018, 52(12): 159-166. DOI： 10.7652/xjtuxb201812023.

摘要

针对局域共振型声子晶体在低频处难以实现宽禁带的问题

提出了一种新型声子晶体结构并探究了声子晶体板中低频宽禁带的形成机理。该结构由互置型振子周期性阵列于一个二维二组元声子晶体板两边构成

采用有限元方法对其禁带特性和禁带形成机理进行理论研究发现:板波模式与振子的振动模式依据模态叠加原理

通过主导系统主模态的方式

影响着禁带的形成; 当振子与基板二者主模态一致时

相互发生耦合

振子通过强烈抑制基板主模态

使的板内无波传播模式

进而形成面内、面外两种宽频子禁带; 振子的振动模式是影响禁带宽度的决定因素

当其为整体振动模式时

对基板主模态的抑制作用最大

形成宽频禁带。仿真结果表明:新型声子晶体板中振子的振动模式被引入的互置型振子调节

致使振子出现了两种整体振动模式; 两种整体振动模式分别对面内和面外子禁带进行单独调节

进而使禁带在大致相同的低频范围内被同时扩宽

最终重叠生成了一条带宽为599 Hz的宽禁带。该研究突破了局域共振型声子晶体在低频处难以形成宽禁带的局限

可为声子晶体在工程结构低宽频减振中的应用提供理论基础和方法指导。

Abstract

How to obtain a broad band gap in low-frequency is a challenging task for the applications of locally resonant phononic crystal(LRPC)in the reduction of vibration in engineering. A novel structure composed of double-sided clinical composite stubs

which are deposited on 2D locally resonant PC plate

is proposed and theoretically studied. Generation mechanism of low frequency broadband phononic crystal band gaps in phononic crystal plate is studied by using the finite element method(FEM). It is found that

the coupling between the local resonance mode and the Lamb wave mode follows the modal superposition principle

and is responsible for the formation of the band gaps. The influence mechanism of bandwidth is further studied

and the core influencing factor

i.e.

the local oscillation modal form of local oscillator

is found. When the local oscillation modal form of local oscillator is in whole vibration state

the bandwidth is the widest. Moreover

the local oscillation modal formed resonator is adjusted by introducing the rubber filler and the novel cylinder composite stub

and then the out-of-plane band gap and the in-plane band gap are adjusted to broad bandwidth

respectively. As a result

the bandwidth of the generated band gap is about 600 Hz due to the overlap between the broad in-plane gap and the out-of-plane band gap. The new structure provides an effective way for phononic crystals to obtain broad locally-resonant band gaps in the low-frequency range

and has applications for low-frequency vibration reduction.

关键词

Keywords

references

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