黏弹阻尼对一维杆状声子晶体能带结构频移的影响

张思文 1; 2; 吴九汇 1; 2; 刘彰宜 1; 2

doi:10.7652/xjtuxb201403005

您当前的位置：

首页 >

文章列表页 >

黏弹阻尼对一维杆状声子晶体能带结构频移的影响

更新时间：2025-04-29

- 黏弹阻尼对一维杆状声子晶体能带结构频移的影响
- Damping-Induced Frequency Shifts in Band Structures of One-Dimensional Viscoelastic Phononic Crystal Rods
- 西安交通大学学报 2014年48卷第3期页码：22-27+48
- 作者机构：
  
  1. 西安交通大学机械工程学院,西安,710049
  2. 西安交通大学机械结构强度与振动国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2013-08-08。作者简介: 张思文(1985—),男,博士生;吴九汇(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(51075325);教育部新世纪优秀人才支持计划资助项目(NCET-09-0644)
- DOI：10.7652/xjtuxb201403005
  中图分类号： O328;O345;TB535
- 网络首发：2014-03-10，
  
  纸质出版：2014
- 稿件说明：
移动端阅览
张思文 1, 2, 吴九汇 1, 等. 黏弹阻尼对一维杆状声子晶体能带结构频移的影响[J]. 西安交通大学学报, 2014,48(3):22-27+48.

Damping-Induced Frequency Shifts in Band Structures of One-Dimensional Viscoelastic Phononic Crystal Rods[J]. 2014, 48(3): 22-27+48.
张思文 1, 2, 吴九汇 1, 等. 黏弹阻尼对一维杆状声子晶体能带结构频移的影响[J]. 西安交通大学学报, 2014,48(3):22-27+48. DOI： 10.7652/xjtuxb201403005.

Damping-Induced Frequency Shifts in Band Structures of One-Dimensional Viscoelastic Phononic Crystal Rods[J]. 2014, 48(3): 22-27+48. DOI： 10.7652/xjtuxb201403005.

摘要

为了明确黏弹阻尼对声子晶体能带结构的影响

根据黏弹材料的标准线性固体模型

利用平面波展开法的迭代算法对一维黏弹材料声子晶体的能带结构进行了理论计算和对比分析。与弹性模量为常数的完全弹性材料相比

黏弹材料由于其复模量的频率相关性

储能模量和损耗模量对声子晶体的能带结构都有重要影响

特别是损耗模量对声子晶体能带结构的影响在阻尼峰值附近的频率范围不容忽视。位于此频率范围的能带被调向更高频而其他范围的能带基本不变

从而使能带下方带隙增宽而上方带隙变窄。损耗模量对能带结构的这一特定调节作用为黏弹性阻尼材料应用于声子晶体提供了一定的理论基础

也为获得宽频带隙提供了一种新的方法。

Abstract

To understand the influence of damping on the band structures of phononic crystals(PCs)

the vibration band structures of one-dimensional viscoelastic PCs are investigated and analyzed theoretically by iteration method for plane wave expansion(PWE)

based on standard linear solid(SLS)model of viscoelastic materials. Compared with the case of constant modulus

the storage modulus and the loss modulus exert clearer influence on the band structures and the gap bandwidth due to the frequency dependence of the complex modulus. In particular

the influence of loss modulus cannot be ignored in the frequency range around the damping peak

where the frequency bands are shifted to the higher range

but the other bands almost remain unchanged

thus the gaps below and above the bands are widened and narrowed respectively. These results provide theoretical basis to research viscoelastic phononic crystals and an effective way to obtain broad band gaps for phononic crystals.

关键词

Keywords

references

温熙森, 温激鸿, 郁殿龙, 等. 声子晶体[M]. 北京: 国防工业出版社, 2009: 2.

SIGALAS M, ECONOMOU E N. Elastic and acoustic wave band structure[J]. Journal of Sound and Vibration, 1992, 158(2): 377-382.

SIGALAS M, ECONOMOU E N. Band structure of elastic waves in two-dimensional systems[J]. Solid State Commun, 1993, 86(3): 141-143.

KUSHWAHA M S, HALEVI P, DOBRZYNSKI L, et al. Acoustic band structure of periodic elastic composites[J]. Physical Review Letters, 1993, 71(13): 2022-2025.

MARTINEZ-SALA R, SANCHO J, SANCHEZ J V, et al. Sound attenuation by sculpture[J]. Nature, 1995, 378: 241.

ZHU Xuefeng, LIU Shengchun, XU Tao, et al. Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method[J]. Chinese Physics: B, 2010, 19(4): 044301.

TANAKA Y, TOMOYASU Y, TAMURA S. Band structure of acoustic waves in phononic lattices: two-dimensional composites with large acoustic mismatch[J]. Physical Review: B, 2000, 62(11): 7387-7392.

LIU Zhengyou, CHAN C T, SHENG Ping, et al. Elastic wave scattering by periodic structures of spherical objects: theory and experiment[J]. Physical Review: B, 2000, 62(4): 2446-2457.

SPRIK R, WEGDAM G H. Acoustic band gaps in composites of solids and viscous liquids[J]. Solid State Commun, 1998, 106(2): 77-81.

ZHANG Xin, LIU Zhengyou, MEI Jun, et al. Acoustic band gaps for a two-dimensional periodic array of solid cylinders in viscous liquid[J]. Journal of Physics: Condensed Matter, 2003, 15: 8207-8212.

周光泉, 刘孝敏. 黏弹性理论[M]. 合肥: 中国科学技术大学出版社, 1996: 5.

PSAROBAS I E. Viscoelastic response of sonic band-gap materials[J]. Physical Review: B, 2001, 64(1): 012303.

HUSSEIN M I. Theory of damped Bloch waves in elastic media[J]. Physical Review: B, 2009, 80(21): 212301.

HUSSEIN M I, FRAZIER M J. Band structure of phononic crystals with general damping[J]. Journal of Applied Physics, 2010, 108(9): 093506.

王刚, 温激鸿, 刘耀宗, 等. 一维黏弹材料周期结构的振动带隙研究[J]. 机械工程学报, 2004, 40(7): 47-50.

WANG Gang, WEN Jihong, LIU Yaozong, et al. Research on the vibration band gaps of one dimensional viscoelastic periodic structure[J]. Chinese Journal of Mechanical Engineering, 2004, 40(4): 47-50.

温激鸿, 王刚, 刘耀宗, 等. 金属/丁腈橡胶杆状结构声子晶体振动带隙研究[J]. 振动工程学报, 2005, 18(1): 1-7.

WEN Jihong, WANG Gang, LIU Yaozong, et al. Research on vibration band gaps of one dimensional phononic crystals consisted of metal and nitrile butadiene rubber[J]. Journal of Vibration Engineering, 2005, 18(1): 1-7.

胡家光, 张晋, 张茜, 等. 一维花岗岩/丁腈橡胶声子晶体的带隙及其应用[J]. 云南大学学报: 自然科学版, 2006, 28(6): 504-508.

HU Jiaguang, ZHANG Jin, ZHANG Xi, et al. Band gaps and application of one-dimensional phononic crystals consisted of granite and nitrile rubber[J]. Journal of Yunnan University: Natural Science, 2006, 28(6): 504-508.

ZHAO Y P, WEI P J. The band gap of 1D viscoelastic phononic crystal[J]. Computational Materials Science, 2009, 46(3): 603-606.

WEI P J, ZHAO Y P. The influence of viscosity on band gaps of 2D phononic crystal[J]. Mechanics of Advanced Materials and Structures, 2010, 17(6): 383-392.

MERHEB B, DEYMIER P A, JAIN M, et al. Elastic and viscoelastic effects in rubber/air acoustic band gap structures: a theoretical and experimental study[J]. Journal of Applied Physics, 2008, 104(6): 064913.

MERHEB B, DEYMIER P A, MURALIDHARAN K, et al. Viscoelastic effect on acoustic band gaps in polymer-fluid composites[J]. Modelling and Simulation in Materials Science and Engineering, 2009, 17(7): 075013.

LIU Yaozong, YU Dianlong, ZHAO Honggang, et al. Theoretical study of two-dimensional phononic crystals with viscoelasticity based on fractional derivative models[J]. Journal of Physics: D Applied Physics, 2008, 41(6): 065503.

LAHES R. Viscoelastic materials[M]. New York, USA: Cambridge University Press, 2009: 63-64.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

声子晶体板中低频宽禁带的形成机理

面向高海拔空冷发电机防晕性能演化规律的电热耦合研究

语义区分和子图整合驱动的知识图谱表示学习方法

采用机器学习的大规模并行程序I/O性能建模与预测方法

超临界二氧化碳向心透平轮背间隙内风阻损失及流动特性研究