Abstract

Guided ultrasonic wave propagation characteristics in the axisymmetric prestressed viscoelastic waveguide, using the semi-analytical finite element (SAFE) method, are studied broadly for acoustic emission monitoring. For the numerical investigation, a single high strength steel wire is considered. The SAFE method for an axisymmetric cross-section in cylindrical-coordinates is utilized to analyze the two main influencing factors of steel wire in a practical scenario, namely, material damping and initial tension. For pre-stress effect, the calculation shows that the initial tensile stress can increase and decrease the energy velocity and attenuation factor of most modal waves above the cut-off frequency, which is linear.

Highlights

  • Guided ultrasonic wave propagation technique has attracted significantly worldwide, as it provides researchers, engineers, and infrastructure owners a more reliable way to monitor structural conditions for preventing failure [1]

  • The friction between the steel wires and the secondary stress caused by temperature and other factors have a strong practical significance to study the influence of stress on the wave propagation characteristics

  • The author presents the development and results of a method to calculate the characteristics of guided waves in a wire, with the motivation of applications to AE monitoring

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Summary

Introduction

Guided ultrasonic wave propagation technique has attracted significantly worldwide, as it provides researchers, engineers, and infrastructure owners a more reliable way to monitor structural conditions for preventing failure [1]. The method can be implemented to any arbitrary cross-section and axisymmetric structures, as it includes solid rod [2,3], plate structures [4], hollow cylinders [5], rails) [6], and composite laminate sections [7] In this aspect, Chen and Wilcox [8] used a particular finite element calculation strategy to study the circular crosssection and rail section, while Loveday [9] used a general SAFE method to examine them. For waveguide media with axisymmetric cross-sections, such as a cylindrical waveguide, the calculation efficiency and accuracy of the general semi-analytic method are not very high. To study the guided ultrasonic wave characteristics, including the effect of initial stress and structural damping, the axisymmetric SAFE method is utilized. The dispersion characteristics of a damped waveguide, namely, the wavenumber-frequency curve, energy velocity curve, and attenuation factor curve, are studied for the influence of the varying initial tensile stresses

Mathematical framework for SAFE method
Effect of Initial Tensile Stress on Wave Propagation Characteristics
Numerical Investigation
Conclusions
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