RESEARCH ON DYNAMIC STRESS OF CYLINDRICAL SHELL OF RADICAL PHONONIC CRYSTALS IN RADIAL WAVE BAND GAP

WANG XingGuo; SHU HaiSheng; ZHANG Liang

doi:10.16579/j.issn.1001.9669.2020.02.013

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RESEARCH ON DYNAMIC STRESS OF CYLINDRICAL SHELL OF RADICAL PHONONIC CRYSTALS IN RADIAL WAVE BAND GAP

更新时间：2022-09-22

- RESEARCH ON DYNAMIC STRESS OF CYLINDRICAL SHELL OF RADICAL PHONONIC CRYSTALS IN RADIAL WAVE BAND GAP
- Journal of Mechanical Strength Vol. 42, Issue 2, Pages: 337-342(2020)
- 作者机构：
  
  1. 齐齐哈尔大学机电工程学院
  2. 哈尔滨工程大学机电工程学院
  3. 安阳工学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2020.02.013
  CLC：
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WANG XingGuo, SHU HaiSheng, ZHANG Liang. RESEARCH ON DYNAMIC STRESS OF CYLINDRICAL SHELL OF RADICAL PHONONIC CRYSTALS IN RADIAL WAVE BAND GAP. [J]. 42(2):337-342(2020)
DOI：

WANG XingGuo, SHU HaiSheng, ZHANG Liang. RESEARCH ON DYNAMIC STRESS OF CYLINDRICAL SHELL OF RADICAL PHONONIC CRYSTALS IN RADIAL WAVE BAND GAP. [J]. 42(2):337-342(2020) DOI： 10.16579/j.issn.1001.9669.2020.02.013.

摘要

构造由两种匀质材料交替分布的半无限周期结构的径向声子晶体柱壳模型,针对径向波在其中由内向外传播情况进行了理论分析。采用数值分析的方法讨论分析了有限周期径向声子晶体柱壳表面局域态出现的规律,同时借助力学状态向量总传递矩阵特征值法获得能带结构进而对数值结果进行了验证。最后,详细分析了有限周期径向声子晶体柱壳结构内部应力大小及分布情况。研究表明,径向声子晶体柱壳存在弹性波带隙,表面局域态出现与否与自由表面的波速有关;而径向声子晶体结构应力集中出现与否与加载面的波速有关。

Abstract

A semi-infinite periodic model of cylindrical shell of radial phononic crystals（ CS-RPCs） is constructed by alternate distribution of two homogeneous materials. A theoretical analysis of the propagation of radial waves from inside to outside is performed. The method of numerical analysis is used to discuss and analyze the appearance regularity of the surface localized modes with a finite period CS-RPCs. At the same time,the energy band structure is obtained by the eigenvalue method of the mechanical state vector total transfer matrix and then the numerical results are verified. Finally,the internal stress magnitude and distribution of the finite period CS-RPCs structure are analyzed in detail.The results show that the elastic band gap exists in the CS-RPCs,and the appearance of the surface localized modes is related to the wave velocity of the free surface. The stress concentration of radial phononic crystal structure is related to the wave velocity of loading surface.

关键词

径向声子晶体表面局域态波速应力集中

Keywords

Radial phononic crystalSurface localized modesWave velocityStress concentration

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