Damping-Induced Frequency Shifts in Band Structures of One-Dimensional Viscoelastic Phononic Crystal Rods

doi:10.7652/xjtuxb201403005

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Damping-Induced Frequency Shifts in Band Structures of One-Dimensional Viscoelastic Phononic Crystal Rods

更新时间：2025-04-29

- Damping-Induced Frequency Shifts in Band Structures of One-Dimensional Viscoelastic Phononic Crystal Rods
- Vol. 48, Issue 3, Pages: 22-27+48(2014)
- 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：
- DOI：10.7652/xjtuxb201403005
  CLC： O328;O345;TB535
- Online First：10 March 2014，
  
  Published：2014
- 稿件说明：
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Damping-Induced Frequency Shifts in Band Structures of One-Dimensional Viscoelastic Phononic Crystal Rods[J]. 2014, 48(3): 22-27+48.
DOI：

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.

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references

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