[1]边祖光,董铠源.功能梯度声子晶体中SH波带隙结构的精确解[J].浙江科技大学学报,2024,(06):482-490.[doi:10.3969/j.issn.2097-5236.2024.06.003 ]
　BIAN Zuguang,DONG Kaiyuan.Exact solution for band gap structures of SH waves in functionally graded phononic crystals[J].,2024,(06):482-490.[doi:10.3969/j.issn.2097-5236.2024.06.003 ]
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功能梯度声子晶体中SH波带隙结构的精确解(/HTML)
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《浙江科技大学学报》[ISSN:2097-5236/CN:33-1431/Z]

卷:
期数:
2024年06期
页码:
482-490
栏目:
出版日期:
2024-12-28

文章信息/Info

Title:
Exact solution for band gap structures of SH waves in functionally graded phononic crystals
文章编号:
2097-5236(2024)06-0482-09
作者:
边祖光; 董铠源
(浙江科技大学 土木与建筑工程学院,杭州 310023)
Author(s):
BIAN Zuguang;  DONG Kaiyuan
(School of Civil Engineering and Architecture, Zhejiang University of Science and Technology, Hangzhou 310023, Zhejiang, China)
关键词:
声子晶体;  SH波;  带隙;  指数梯度分布;  精确解;  应力变换
分类号:
O343.2
DOI:
10.3969/j.issn.2097-5236.2024.06.003
文献标志码:
A
摘要:
【目的】以精确方法分析研究具有指数分布特性的功能梯度弹性声子晶体中斜入射剪切水平(shear horizontal, SH)波的带隙结构。【方法】首先,利用应力变换并结合Snell定理和状态空间法,精确地获得了斜入射SH波的位移、应力解及显式特解; 然后,根据应力、位移连续条件和Bloch理论,应用传递矩阵法,导出了带隙结构的特征值方程。【结果】通过计算特征值方程得到了色散曲线,并与层合模型和传输率结果进行比对后验证了本研究方法的准确性; 在数值算例中,指数梯度和入射角对带隙宽度及频率中心的影响规律表明,单梯度声子晶体对带隙调谐具有更好的性能。【结论】本研究给出的精确解析解可作为各类近似解与数值解的检验基准。

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备注/Memo

备注/Memo:
收稿日期:2024-06-19
通信作者:边祖光(1977— ),男,浙江省诸暨人,教授,博士,主要从事智能材料与结构的力学分析研究。E-mail:120026@zust.edu.cn。
更新日期/Last Update: 2024-12-28