On the generation of nonlinear damage resonance intermodulation for elastic wave spectroscopy

On the generation of nonlinear damage resonance intermodulation for elastic wave spectroscopy
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DOI:
10.1121/1.4979256
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发表时间:
2017-04-01
影响因子:
2.4
通讯作者:
Meo, Michele
Meo, Michele
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Ciampa, Francesco;Scarselli, Gennaro;Meo, Michele

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最近的非线性弹性波谱实验表明,损伤复合材料的非线性超声响应可以通过局部损伤共振处的更高振动来增强。本文给出了连续周期激励下产生非线性波效应的数学公式和局部缺陷共振的概念。在二次近似和三次近似假设下,证明了激励频率的高次谐波、损伤共振频率的超谐波和非线性波效应的存在,即非线性损伤共振互调,对应于驱动频率和损伤共振频率之间的非线性互调。所有这些非线性弹性效应是由传播的超声波与局部损伤共振的相互作用引起的,并且可以在不同于材料缺陷的位置处测量。所提出的分析模型是通过实验的基于传感器的测量的稳态非线性共振响应受损的复合材料样品确认和验证。这些结果将为材料缺陷的早期检测和成像提供机会。(C)2017年美国声学学会。
Recent nonlinear elastic wave spectroscopy experiments have shown that the nonlinear ultrasonic response of damaged composite materials can be enhanced by higher vibrations at the local damage resonance. In this paper, the mathematical formulation for the generation of nonlinear wave effects associated with continuous periodic excitation and the concept of local defect resonance is provided. Under the assumption of both quadratic and cubic approximation, the existence of higher harmonics of the excitation frequency, superharmonics of the damage resonance frequency and nonlinear wave effects, here named as nonlinear damage resonance intermodulation, which correspond to the nonlinear intermodulation between the driving and the damage resonance frequencies, is proved. All these nonlinear elastic effects are caused by the interaction of propagating ultrasonic waves with the local damage resonance and can be measured at locations different from the material defect one. The proposed analytical model is confirmed and validated through experimental transducer-based measurements of the steady-state nonlinear resonance response on a damaged composite sample. These results will provide opportunities for early detection and imaging of material flaws. (C) 2017 Acoustical Society of America.