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Abstract <p>The article proposes a method for improving the accuracy of measuring the parameters of frequency-dependent attenuation of longitudinal ultrasonic waves in solids using standard flaw detectors and piezoelectric transducers. Traditional approaches such as Papadakis and Roth methods are considered and their limitations are revealed due to the difficulties of accounting for reflection coefficients, wave front divergence, and the influence of a contact layer. An improved method based on the Rota method using a multifrequency correction of wavefront divergence is proposed, and an optimization method based on the NSGA-II genetic multicriteria algorithm for estimating attenuation parameters is proposed. The analysis of the following factors affecting the measurement accuracy is carried out: frequency characteristics of the transducer, amplitude measurement errors, the presence of structural noise, sampling step, energy leakage at the boundaries of the sample, etc. The results of numerical experiments performed in the CIVA program, when using a transducer with an operating frequency of 5 MHz, showed a relative error in measuring the speed of sound at <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( \pm 0.1\% \)</EquationSource> <!--Nondes2570038Bazulin-m1--> </InlineEquation>, attenuation coefficient <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\( \pm 1.5\% \)</EquationSource> <!--Nondes2570038Bazulin-m2--> </InlineEquation>, and degree of frequency dependence <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\( \pm 20\% \)</EquationSource> <!--Nondes2570038Bazulin-m3--> </InlineEquation>. A model experiment on a steel sample with two “steps” of 12 and 20 mm using a transducer with an operating frequency of 10 MHz confirmed the practical applicability of the method: the relative error in measuring the longitudinal wave velocity for two “steps” can be estimated as <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\( \pm 0.1\% \)</EquationSource> <!--Nondes2570038Bazulin-m4--> </InlineEquation>, the attenuation coefficient as <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\( \pm 1\% \)</EquationSource> <!--Nondes2570038Bazulin-m5--> </InlineEquation>, and the degree of frequency dependence <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\( \pm 2\% \)</EquationSource> <!--Nondes2570038Bazulin-m6--> </InlineEquation>. To increase accuracy, it is recommended to use transducers with an operating frequency of 10 MHz and twin transducer probe.</p>

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Improving the Accuracy of Measuring the Parameters of Frequency-Dependent Attenuation of a Longitudinal Ultrasonic Wave in Solids

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • E. G. Bazulin,
  • E. S. Dolgova

摘要

Abstract

The article proposes a method for improving the accuracy of measuring the parameters of frequency-dependent attenuation of longitudinal ultrasonic waves in solids using standard flaw detectors and piezoelectric transducers. Traditional approaches such as Papadakis and Roth methods are considered and their limitations are revealed due to the difficulties of accounting for reflection coefficients, wave front divergence, and the influence of a contact layer. An improved method based on the Rota method using a multifrequency correction of wavefront divergence is proposed, and an optimization method based on the NSGA-II genetic multicriteria algorithm for estimating attenuation parameters is proposed. The analysis of the following factors affecting the measurement accuracy is carried out: frequency characteristics of the transducer, amplitude measurement errors, the presence of structural noise, sampling step, energy leakage at the boundaries of the sample, etc. The results of numerical experiments performed in the CIVA program, when using a transducer with an operating frequency of 5 MHz, showed a relative error in measuring the speed of sound at \( \pm 0.1\% \) , attenuation coefficient \( \pm 1.5\% \) , and degree of frequency dependence \( \pm 20\% \) . A model experiment on a steel sample with two “steps” of 12 and 20 mm using a transducer with an operating frequency of 10 MHz confirmed the practical applicability of the method: the relative error in measuring the longitudinal wave velocity for two “steps” can be estimated as \( \pm 0.1\% \) , the attenuation coefficient as \( \pm 1\% \) , and the degree of frequency dependence \( \pm 2\% \) . To increase accuracy, it is recommended to use transducers with an operating frequency of 10 MHz and twin transducer probe.