超结构夹芯板及其低宽频振动带隙机理

李锁斌 1; 2; 魏儒义 2; 周安安 2; 李丽霞 3; 何彦斌 4; 李欣 5

doi:10.7652/xjtuxb202104009

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超结构夹芯板及其低宽频振动带隙机理

更新时间：2025-07-09

- 超结构夹芯板及其低宽频振动带隙机理
- A New Sandwich Type Metamaterial Plate and Its Mechanism of Low-Frequency Broad Vibration Band Gap
- 西安交通大学学报 2021年55卷第4期页码：77-85
- 作者机构：
  
  1. 西安石油大学机械工程学院,西安,710065
  2. 中国科学院光谱成像技术重点实验室,西安,710119
- 作者简介：
- 基金信息：
  
  : 2020-11-04。作者简介: 李锁斌(1984—),男,博士,讲师。基金项目: 陕西省自然科学基础研究计划资助项目(2019JQ-464,2017JM5095);中国科学院光谱成像技术重点实验室开放基金资助项目(LSIT202007W)
- DOI：10.7652/xjtuxb202104009
  中图分类号： TH113.1
- 网络首发：2021-04-10，
  
  纸质出版：2021
- 稿件说明：
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李锁斌 1, 2, 魏儒义 2, 等. 超结构夹芯板及其低宽频振动带隙机理[J]. 西安交通大学学报, 2021,55(4):77-85.

A New Sandwich Type Metamaterial Plate and Its Mechanism of Low-Frequency Broad Vibration Band Gap[J]. 2021, 55(4): 77-85.
李锁斌 1, 2, 魏儒义 2, 等. 超结构夹芯板及其低宽频振动带隙机理[J]. 西安交通大学学报, 2021,55(4):77-85. DOI： 10.7652/xjtuxb202104009.

A New Sandwich Type Metamaterial Plate and Its Mechanism of Low-Frequency Broad Vibration Band Gap[J]. 2021, 55(4): 77-85. DOI： 10.7652/xjtuxb202104009.

摘要

针对厚板类结构的低频减振问题

将超材料/结构概念引入夹芯板中

提出了一种夹芯型超板——超结构夹芯板

其结构主要由夹芯型周期基板和内嵌于其中的夹芯型周期振子组成

具有轻质、高刚度、厚尺度和低宽频振动带隙特性。对其减振机理进行理论研究发现:夹芯型周期基板的振动模式与夹芯振子的振动模式依据模态叠加原理分别主导系统响应

当二者的主模态相互耦合时

振子通过抑制夹芯型周期基板的主模态

使夹芯型超板中不产生波传播模式

形成振动带隙; 夹芯振子的刚度模式是影响带隙特性的主要因素

当其为混合刚度模式时

可实现带隙位置和带隙宽度一起调节

形成低宽频振动带隙。仿真结果表明:所设计的夹芯振子具有串并联刚度特性

致使振子中出现了两种刚度模式

分别对带隙位置和带隙宽度同时进行调节

最终于低频处将完全带隙扩宽了7倍。实验结果表明

所提出的夹芯型超板集夹芯板与超材料/结构二者优点于一体

实现了力学承载和低频带隙减振的统一

具有较好的低宽频减振特性

为厚板类结构的低频减振提供了新思路与方法。

Abstract

The concept of metamaterial is introduced into sandwich plates to solve the low frequency vibration reduction problem of thick plate structure

and a type of sandwich type metamaterial plate is proposed and theoretically studied. The structure of the proposed plate is mainly composed of sandwich type periodic base plate and embedded with sandwich type periodic vibrator

so it has the characteristics of light weight

high rigid

thick scale and low broadband vibration band gap. The generation mechanism of low frequency broadband vibration band gap in sandwich type metamaterial plate is studied by using a finite element method(FEM). It is found that the local resonance mode of the sandwich type vibrator and the Lamb wave mode of the sandwich type periodic base plate respectively dominate the system response according to the modal superposition principle. When the main modes of the plate and vibrator are coupled to each other

the vibrator suppresses the main modes of the sandwich periodic base plate to make the waveless propagation mode in the sandwich plate to form vibration band gaps. The equivalent stiffness of the sandwich type vibrator is the main factor affecting the characteristics of the band gap

and when it is a mixed stiffness mode

the position and width of the band gap can be adjusted together to form a low broadband vibration band gap. Simulation results show that the designed sandwich vibrator has the characteristics of serial-parallel stiffness

resulting in two equivalent stiffness modes in the vibrator. The two modes adjust the position and width of the band gap respectively at the same time

and finally widen the complete band gap by 7 times at low frequencies. Experimental results show that this type of plate has a good low broadband vibration damping characteristic. The proposed sandwich superplate integrates the advantages of sandwich plate and meta-material/structure

realizes the unification of mechanical bearing and low-frequency band gap vibration reduction

and provides a new idea and method for low-frequency vibration reduction of thick plate structure.

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