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中文核心期刊

固体板中SH板波非线性效应的实验观察

Experimental observations of nonlinear effects of SH plate wave propagation in a solid plate

  • 摘要: 采用微扰近似和导波的模式展开分析方法,从理论上简要分析了SH板波的二次谐波发生效应;尽管在无限大固体介质中单个切变波的二次谐波发生效应非常微弱,但在一定条件下由两个切变波构成的SH板波可具有强烈的非线性效应;本文的主要工作就是对此结论加以实验验证。试制了激发SH板波的切变波斜劈换能器和接收二次谐波信号的液体斜劈换能器,建立了非线性SH板波的实验研究系统;通过详细的理论分析和对比实验研究,阐明了在一定条件下实验观察到的显著二次谐波信号来源于SH板波传播过程中的强烈非线性效应。此外,针对不同的SH板波传播距离,在远场条件下分别测量了相应的二次谐波幅频曲线;在基频SH板波与二倍频对称兰姆波相速度相等所对应的频率值附近,分析了二次谐波的振幅随传播距离的变化关系,结果证明在一定条件下SH板波的二次谐波振幅可随传播距离积累增长,即SH板波可具有强烈的非线性效应。

     

    Abstract: The effect of second-harmonic generation of SH plate wave propagation in a solid plate was briefly analyzed theoretically using perturbation approximation and modal expansion approach for waveguide excitation.Although the effect of second-harmonic generation of a single shear wave in an infinite solid is weak,a SH plate wave consisting of two shear waves in a solid plate may have a strong nonlinear effect under certain conditions.This paper focused on the experimental verification of the said theoretical prediction.Both the shear-wave wedge transducer for excitation of SH plate waves and the liquid wedge transducer for receiving the signals of second harmonics were manufactured,and the experimental system for studying the nonlinear effects of SH plate wave propagation was established.Through the theoretical analyses in detail and the comparative experimental investigations,it was clarified that the clear second- harmonic signal observed under certain conditions was due to the strong nonlinear effect of SH plate wave propagation. Moreover,the amplitude-frequency curves of second harmonics,with respect to the different distances of SH plate wave propagation,were measured in the far-field regions.The relationship between the second-harmonic signals of the SH plate wave and the propagation distance was analyzed near the specific frequency at which the phase velocity of a SH plate wave was equal to that of a double frequency symmetric Lamb wave.It was experimentally verified that,under certain conditions,the second-harmonic amplitude of SH plate wave propagation could grow with propagation distance, namely,SH plate wave propagation could have a strong nonlinearity.

     

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