南京大学学报(自然科学版) ›› 2013, Vol. 49 ›› Issue (1): 58–63.

• • 上一篇    下一篇

 侧面周期嵌入空气柱薄板中兰姆波带隙研究

  丁红星1·2,沈中华1,戴丽莉2,陆建1,倪晓武1
  

  • 出版日期:2015-09-25 发布日期:2015-09-25
  • 作者简介:(1.南京理工大学信息物理与工程系,南京,210094
    连云港师范高等专科学校物理与电子工程系,连云港,222006)
  • 基金资助:
     National Natural Science Foundation oI China(11274175,61108013),Program Ior New Century Excellent
    Talents in University,Jiangsu Province Qing Lan Project

 Lamb waves in thin plates with the surfaces parallel to
the periodically inserted void cylinders*

 Ding Hong一Xing1.2,Shen Zhong一Hua1**,Dai Li一Li2 ,Lu Jian1,Ni Xiao -Wu1
  

  • Online:2015-09-25 Published:2015-09-25
  • About author: (1 .College of scicnce,Nanjing University of Science and  Technology, Nanjing, 210094 , China;
    2. Department of Physics,Lianyungang Teachers College,Lianyungang Jiangsu,222006,China)

摘要:  提出一种在薄板侧面周期嵌入空气柱的一维声子晶体模型,数值计算了兰姆波在该周期结构声
子晶体中的传播特性.结果表明:由布拉格散射引起的第一完全禁带只在一定的占空比范围内存在,分别
改变空气柱半径和晶格常数,禁带宽度可调且达到最大值时的占空比值基木相同.将占空比匹配的该一维
声子晶体接合构成复合结构,低阶兰姆波完全禁带宽度因各组分兰姆波完全禁带交叠相加而显著增大.

Abstract:  The authors study numerically the propagation of Lamb waves in one-dimensional periodic thin plates
consisting of a row of void cylinders inserted periodically in the host material.The surfaces of the plates arc parallel
to the axis of periodicity.The lowest Lamb wave complete band gap of the composite thin plates originates mainly
from the Bragg scattering and only exist in some filling ratio range.The band gap reach its maximum width almost
in the same filling ratio for the cylinder radius and lattice spacing arc respectively employed as variables. We show
that the band gap has a good adjustability and can be substantially enlarged by using multiple periodic systems which
consist of several pieces of periodic structure with different filling fraction.

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