Investigation on modulation of multi-frequency ultrasonic waves in structures with quadratic nonlinearity

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
H. Salehi, M. Shamshirsaz, M. M. Aghdam
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引用次数: 0

Abstract

In this study, the modulation of multiple frequency content of a single ultrasonic wave in nonlinear structures is investigated analytically, numerically and experimentally. An experimental technique is proposed based on nonlinear lamb wave propagation in aluminum bars using piezoelectric wafer active sensors (PWAS) to study intrinsic nonlinearity of structures. First, a one-dimensional analytical procedure is developed to study the modulation of one dimensional wave with multiple-frequency content in isotropic medium with quadratic nonlinearity. This procedure is implemented to study modulation of frequency contents of a well-known tone burst signal in nonlinear medium. Then, predictions obtained by the proposed analytical procedure are compared with the results of finite element model, which show strong correlations. The experimental and analytical results reveal that in excitation with a train of tone burst, due to frequency modulation, some new harmonics including a strong sub harmonic generation with frequency of f0/Np appear in the response. The amplitude of this harmonic is even higher than common second harmonic generation (2f0). This can be seen in the experimental results when the excitation frequencies are correctly selected. Finally, it is explained that, why the new sub harmonic generation is less affected by the nonlinearity induced by the excitation system.
二次非线性结构中多频超声波的调制研究
本文从分析、数值和实验三个方面研究了非线性结构中单一超声波的多频调制。提出了一种基于非线性lamb波在铝棒中传播的压电片有源传感器(PWAS)实验技术来研究结构的内在非线性。首先,建立了一种一维解析方法,研究了各向同性二次非线性介质中含有多频内容的一维波的调制。该程序用于研究非线性介质中某一常见突音信号频率内容的调制。然后,将所提出的分析方法的预测结果与有限元模型的结果进行了比较,结果表明两者具有很强的相关性。实验和分析结果表明,在一系列音突发的激励下,由于频率调制的作用,在响应中出现了一些新的谐波,其中包括频率为f0/Np的强次谐波。这个谐波的振幅甚至高于普通的二次谐波产生(2f0)。这可以从正确选择激励频率的实验结果中看出。最后,分析了新次谐波产生受励磁系统非线性影响较小的原因。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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