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Experimental and Computational Studies on the Scattering of an Edge-Guided Wave by a Hidden Crack on a Racecourse Shaped Hole

机译:赛马场形孔中隐藏裂纹对边引导波散射的实验和计算研究

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Reliable and quantitative non-destructive evaluation for small fatigue cracks, in particular those in hard-to-inspect locations, is a challenging problem. Guided waves are advantageous for structural health monitoring due to their slow geometrical decay of amplitude with propagating distance, which is ideal for rapid wide-area inspection. This paper presents a 3D laser vibrometry experimental and finite element analysis of the interaction between an edge-guided wave and a small through-thickness hidden edge crack on a racecourse shaped hole that occurs, in practice, as a fuel vent hole. A piezoelectric transducer is bonded on the straight edge of the hole to generate the incident wave. The excitation signal consists of a 5.5 cycle Hann-windowed tone burst of centre frequency 220 kHz, which is below the cut-off frequency for the first order Lamb wave modes (SH1). Two-dimensional fast Fourier transformation (2D FFT) is applied to the incident and scattered wave field along radial lines emanating from the crack mouth, so as to identify the wave modes and determine their angular variation and amplitude. It is shown experimentally and computationally that mid-plane symmetric edge waves can travel around the hole’s edge to detect a hidden crack. Furthermore, the scattered wave field due to a small crack length, a , (compared to the wavelength λ of the incident wave) is shown to be equivalent to a point source consisting of a particular combination of body-force doublets. It is found that the amplitude of the scattered field increases quadratically as a function of a/λ , whereas the scattered wave pattern is independent of crack length for small cracks a λ . This study of the forward scattering problem from a known crack size provides a useful guide for the inverse problem of hidden crack detection and sizing.
机译:对小的疲劳裂纹,尤其是难以检查的位置的疲劳裂纹,进行可靠且定量的无损评估是一个具有挑战性的问题。导波由于振幅随传播距离的缓慢几何衰减而有利于结构健康监测,是快速广域检查的理想选择。本文介绍了3D激光振动实验和有限元分析,它对边缘导波与跑道厚度孔上的小厚度通孔隐藏边缘裂纹之间的相互作用进行了模拟,该裂纹实际上是作为燃料排放孔而出现的。压电换能器结合在孔的笔直边缘上以产生入射波。激励信号由一个5.5周期的Hann窗口式单音突发组成,其中心频率为220 kHz,该频率低于一阶Lamb波模式(SH1)的截止频率。将二维快速傅里叶变换(2D FFT)沿裂纹口发出的径向线应用于入射波和散射波场,以识别波模并确定其波角变化和振幅。实验和计算结果表明,中平面对称边缘波可以绕孔的边缘传播以检测隐藏的裂纹。此外,示出了由于裂纹长度小α(与入射波的波长λ相比)而产生的散射波场等效于由体力双峰的特定组合组成的点源。已经发现,散射场的振幅作为a /λ的函数平方增加,而对于小裂纹a λ,散射波模式与裂纹长度无关。对已知裂纹尺寸的正向散射问题的研究为隐藏裂纹检测和尺寸确定的反问题提供了有用的指导。

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