Second order ultrasonic guided wave mutual interactions in plate: Arbitrary angles, internal resonance, and finite interaction region
Second order ultrasonic guided wave mutual interactions in plate: Arbitrary angles, internal resonance, and finite interaction region
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DOI：
10.1063/1.5048227
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发表时间：
2018-10-28
影响因子：
3.2
通讯作者：
Lissenden, Cliff J.
中科院分区：
文献类型：
--
作者：
Hasanian, Mostafa;Lissenden, Cliff J.
超声波相互作用对材料和几何非线性的敏感性使得它们对于无损表征非常有用。导波询问不可接近的材料域、从单个表面发射和接收以及穿透长距离的能力提供了体波所不具备的能力。此外，在共线或非共线方向上传播的波之间的相互作用提供了关于使用哪种类型的波以及它们的频率和相互作用角度的极好的灵活性。虽然体波的相互作用是公认的，但在板中沿任意方向行进的导波的相互作用不是，并且需要一般的基于矢量的公式。在这里，通过基于矢量的计算，内共振的标准制定和评估的波在任意方向上传播的板。从分析中发现，非共线导波相互作用将功率转移到共线相互作用不可能的二次导波模式，这完全类似于体波。对于处于非零相互作用角的音调突发脉冲波包的情况，波相互作用区具有有限的尺寸，并且其尺寸由许多因素决定，包括例如波的群速度、相互作用角、脉冲持续时间和色散。介绍了一个有限大小的相互作用区的分析模型，并用于演示群速度失配对二次波产生的影响。此外，有限元模拟分析模型进行了比较，并提供了额外的洞察二次波的产生和传播。出版社：AIP Publishing
The sensitivity of ultrasonic wave interactions to material and geometric nonlinearities makes them very useful for nondestructive characterization. The ability of guided waves to interrogate inaccessible material domains, be emitted and received from a single surface, and penetrate long distances provides capabilities that bulk waves do not. Furthermore, mutual interactions between waves propagating in collinear or non-collinear directions provide excellent flexibility as to which types of waves are used, as well as their frequencies and interaction angles. While the interaction of bulk waves is well established, the mutual interaction of guided waves traveling in arbitrary directions in a plate is not and requires a general vector-based formulation. Herein, by vector-based calculations, the internal resonance criteria are formulated and evaluated for waves propagating in arbitrary directions in a plate. From the analysis, it is found that non-collinear guided wave interactions transfer power to secondary guided wave modes that is impossible for collinear interactions, which is completely analogous to bulk waves. For the case of tone burst-pulsed wave packets at nonzero interaction angles, the wave interaction zone has a finite size, and its size is dictated by many factors, including, for example, the group velocities of the waves, interaction angle, pulse duration, and dispersion. An analytical model is introduced for finite-sized interaction zones and used to demonstrate the effect of group velocity mismatch on the generation of secondary waves. In addition, finite element simulations are compared to the analytical model and provide additional insight into secondary wave generation and propagation. Published by AIP Publishing.