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An Investigation of Reflection Coefficients of the T(0,1) Mode Guided Waves at Axisymmetric Defects and Inverse Problem Analyses for Estimations of Defect Shapes

机译:T(0,1)模式导波在轴对称缺陷处的反射系数的研究以及缺陷形状估计的反问题分析

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摘要

The frequency dependences of the reflection coefficients at gradual step-down axisymmetric defects were experimentally evaluated for the investigation of the reflection phenomena of the T(0,1) mode guided waves. Different frequency dependences were observed depending on the axial profile of the defect. A mathematical model using the characteristic acoustic impedance for calculating the reflection coefficients at axisymmetric defects was introduced. The reflection coefficients for the gradual step-down axisyrnmetric defects were confirmed to be in good agreement with the calculation results. By utilizing the mathematical model, a reflection mechanism was explained precisely and was verified. An inverse problem analysis for estimating the shape of an axisymmetric defect was also proposed based on the experimental reflection coefficients as a function of frequency together with the calculation model. Experimental verification of the proposed estimation method was performed using circular concave axisymmetric defects inside pipe specimens. The estimation results and accuracy were discussed in terms of the relation between the frequency range and the axial length of the defects.
机译:为了研究T(0,1)模式导波的反射现象,通过实验评估了逐步降低的轴对称缺陷处反射系数的频率依赖性。根据缺陷的轴向轮廓观察到不同的频率依赖性。引入了使用特征声阻抗计算轴对称缺陷反射系数的数学模型。逐步降低的轴对称缺陷的反射系数被确认与计算结果吻合良好。利用数学模型,对反射机理进行了精确解释和验证。基于实验反射系数与频率的函数关系以及计算模型,提出了一种反问题分析方法,用于估计轴对称缺陷的形状。利用管道内的圆形凹轴对称缺陷对提议的估算方法进行了实验验证。根据缺陷的频率范围和轴向长度之间的关系讨论了估计结果和准确性。

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