分形凹角蜂窝结构声子晶体振动带隙特性

人工晶体学报 ›› 2022, Vol. 51 ›› Issue (8): 1343-1352.

分形凹角蜂窝结构声子晶体振动带隙特性

陈新华¹, 张晨¹, 陈猛², 郭振坤¹, 郝天琪¹

1.北京建筑大学机电与车辆工程学院,城市轨道交通车辆服役性能保障北京市重点实验室,北京 100044;
2.中国科学院力学研究所微重力重点实验室,北京 100190

收稿日期:2022-04-24 出版日期:2022-08-15 发布日期:2022-09-08
通讯作者: 陈猛,博士,副研究员。E-mail:chenmeng@imech.ac.cn
作者简介:陈新华(1983—),男,湖北省人,博士,副教授。E-mail:chenxinhua@bucea.edu.cn
基金资助:
北京市自然科学基金面上项目(8202015);北京市优秀人才培养资助青年骨干个人项目(2017000020124G005);北京未来城市设计高精尖创新中心开放课题(UDC2017033022);北京市市属高校基本科研业务费项目(X18253)

Vibration Bandgap Characteristics of Phononic Crystals with Fractal Concave Angle Honeycomb Structure

CHEN Xinhua¹, ZHANG Chen¹, CHEN Meng², GUO Zhenkun¹, HAO Tianqi¹

1. Beijing Key Laboratory of Service Performance Guarantee of Urban Rail Transit Vehicles, School of Mechanical-Electronic and Vehicle Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China;
2. Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

Received:2022-04-24 Online:2022-08-15 Published:2022-09-08

摘要/Abstract

摘要： 凹角结构具有优良的减振降噪特性,可以有效衰减结构振动响应,蜂窝结构具有优良的力学特性并已经较为普遍地被应用到工程之中,因此凹角蜂窝的复合结构引起了学者们的关注。本文通过对内凹蜂窝结构分形设计,构建了一种新型声子晶体模型。基于有限元方法对分形凹角蜂窝结构进行分析,计算能带结构以及振动传输特性,分析结构的负泊松比特性以及结构分形对振动带隙的影响。通过改变壁厚和内凹角度等参数,以及在分形结构顶点处填充钢材,可以更好地对某些频段振动产生抑制。结果表明:分形结构仍具有负泊松比特性,分形结构在二阶结构产生的带隙更宽,壁厚和凹角角度的增加会导致结构振动带隙向高频区域转移,填充钢材会使带隙变宽。

关键词: 分形, 凹角结构, 蜂窝结构, 带隙, 声子晶体, 负泊松比, 减振降噪

Abstract: The concave corner structure has excellent vibration and noise reduction characteristics to effectively attenuate the structural vibration response, honeycomb structure with excellent mechanical properties has been more commonly used in engineering, so the composite structure of concave corner honeycomb has attracted the attention of scholars. A novel phononic crystal model was created using the inner concave honeycomb structure's fractal design. Based on the finite element method, the fractal concave angle honeycomb structure was analyzed to calculate the energy band structure and vibration transmission characteristics, as well as to examine the negative Poisson ratio characteristics of the structure and the effect of the structural fractal on the vibration band gap. By varying parameters such as wall thickness and the angle of the inner concavity, filling the steel at the apex of the fractal structure can provide better suppression of certain frequency bands of vibration. The results show that the fractal structure still has negative Poisson ratio characteristics, the fractal structure produces a wider band gap in the second-order structure, the increase in wall thickness and concave angle causes the structural vibration band gap to shift to the high-frequency region, the filled steel causes the band gap to widen.

Key words: fractal, concave angle structure, honeycomb structure, band gap, phononic crystal, negative Poisson ratio, noise and vibration reduction

中图分类号:

陈新华, 张晨, 陈猛, 郭振坤, 郝天琪. 分形凹角蜂窝结构声子晶体振动带隙特性[J]. 人工晶体学报, 2022, 51(8): 1343-1352.

CHEN Xinhua, ZHANG Chen, CHEN Meng, GUO Zhenkun, HAO Tianqi. Vibration Bandgap Characteristics of Phononic Crystals with Fractal Concave Angle Honeycomb Structure[J]. JOURNAL OF SYNTHETIC CRYSTALS, 2022, 51(8): 1343-1352.

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