板状粘接结构中对称和反对称纵波与界面的相互作用

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摘要为了激发粘接结构中的导波或界面波，通常需要将声波从两半无限介质同相位或反相位地同时入射多层系统。针对此问题，基于矩阵方法，推导了界面处于理想连接的情况下，对称或反对称纵波从上下半无限空间入射时，三层板状粘接结构中纵、横波的反射与透射系数表达式。分析了入射角度、粘接层厚度以及基体材料等对声波反射(或透射)特性的影响。结果表明，对称或反对称纵波垂直入射时不发生波型转换。粘接结构中声波的反射(或透射)特性与入射角度、频率以及粘接层厚度等参数密切相关。在相同的粘接层厚度(或频率)范围内，随着声波频率(或粘接层厚度)的增加，谐振频率曲线向低频漂移。所提方法可作为粘接结构中体波或导波传播特性研究的重要理论基础。

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	丁俊才
	吴斌
	何存富

关键词 ：粘接结构, 矩阵方法, 对称和反对称纵波, 反射和透射系数, 谐振

Abstract：To stimulate the guided or interface waves in adhesive structures,in general sound waves should be injected into a multilayer system from two infinite media in the same or opposed phase at the same time.Aiming at this issue,based on the matrix method,the expressions of reflection and transmission coefficients for longitudinal and transverse waves in three-tier plate-like adhesive structures were deduced when on interfaces there is perfect connection and the symmetric or anti-symmetric longitudinal waves are injected from upper and lower infinite spaces.The influences of the incident angle,thickness of adhesive layer and substrate materials etc on the characteristics of acoustic wave reflection (or transmission) were analyzed.The results show that when the symmetric or anti-symmetric longitudinal waves are vertically incident,the conversions of wave modes do not occur.The reflection (or transmission) characteristics of acoustic waves in adhesive structures are closely related to the incident angle,frequency, thickness of adhesive layer and other parameters.In the same range of adhesive layer thickness (or frequency),with the increase of the sound frequency (or adhesive layer thickness),the curves of resonant frequency tend to drift towards the low frequency.The proposed method can be used as an important theoretical basis for the research on transmission characteristics of body or guided waves in adhesive structures.

Key words： adhesive structure matrix method symmetric and anti-symmetric longitudinal waves reflection and transmission coefficients resonance

收稿日期: 2015-10-10 出版日期: 2017-03-15

引用本文:

丁俊才，吴斌，何存富. 板状粘接结构中对称和反对称纵波与界面的相互作用[J]. 振动与冲击, 2017, 36(6): 27-37.
DING Juncai，WU Bin，HE Cunfu. Interaction of the symmetric and anti-symmetric longitudinal waves with the interfaces in plate-like adhesive structure. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(6): 27-37.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2017/V36/I6/27

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