Non-collinear interaction of guided elastic waves in an isotropic plate
Non-collinear interaction of guided elastic waves in an isotropic plate
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DOI：
10.1016/j.jsv.2018.01.031
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发表时间：
2018-04-14
影响因子：
4.7
通讯作者：
Adachi, Tadaharu
中科院分区：
文献类型：
--
作者：
Ishii, Yosuke;Biwa, Shiro;Adachi, Tadaharu
对均匀各向同性弹性板中的非线性波传播进行了理论分析，研究了板波模式的非共线相互作用。在存在两个沿任意方向传播的主平板波（Rayleigh-Lamb或剪切水平模式）的情况下，利用摄动分析导出了具有主模式和频或差频的非线性生成波场的模态振幅的显式表达式。当满足共振条件时，模态振幅与传播距离成比例增长，即，当二次波的波矢与一次波的波矢之和或之差重合时，此外，两个对称或反对称模式的非共线相互作用所示的产生的二次波场只由对称模式，而一对对称和反对称的主要模式所示的只产生反对称模式。在低频范围内，研究了交叉角、主频率和模式组合对二次波模态振幅的影响，其中最低阶对称和反对称瑞利-兰姆波以及最低阶对称剪切水平波是唯一的传播模式。(c)2018爱思唯尔有限公司版权所有。
The nonlinear wave propagation in a homogeneous and isotropic elastic plate is analyzed theoretically to investigate the non-collinear interaction of plate wave modes. In the presence of two primary plate waves (Rayleigh-Lamb or shear horizontal modes) propagating in arbitrary directions, an explicit expression for the modal amplitude of nonlinearly generated wave fields with the sum or difference frequency of the primary modes is derived by using the perturbation analysis. The modal amplitude is shown to grow in proportion with the propagation distance when the resonance condition is satisfied, i.e., when the wavevector of secondary wave coincides with the sum or difference of those of primary modes. Furthermore, the non-collinear interaction of two symmetric or two antisymmetric modes is shown to produce the secondary wave fields consisting only of the symmetric modes, while a pair of symmetric and antisymmetric primary modes is shown to produce only the antisymmetric modes. The influence of the intersection angle, the primary frequencies, and the mode combinations on the modal amplitude of secondary wave is examined for a low-frequency range where the lowest-order symmetric and antisymmetric Rayleigh-Lamb waves and the lowest-order symmetric shear horizontal wave are the only propagating modes. (c) 2018 Elsevier Ltd. All rights reserved.