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<p>We propose an analytic method for solving a three-dimensional dynamic problem of propagation of elastic vibrations in a circular bounded plate under the action of instantaneous internal dilation <i>ε</i><sup>*</sup> (instantaneous relative variation of an infinitely small volume) appearing, e.g., as a result of contact welding of plates. This problem appears in connection with the problem of decoding acoustic-emission signals in the course of prediction of the residual life of commercial welded metal objects hazardous under operating conditions with the help of acoustic-emission systems based on the use of circular piezoelectric sensors.</p>

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Analytic Method for Solving a Three-Dimensional Dynamic Problem of Propagation of Elastic Vibrations in a Body of Finite Sizes

  • 期刊论文

  • 发表日期：

    2026年8月1日

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  • Olha Boichuk

摘要

We propose an analytic method for solving a three-dimensional dynamic problem of propagation of elastic vibrations in a circular bounded plate under the action of instantaneous internal dilation ε* (instantaneous relative variation of an infinitely small volume) appearing, e.g., as a result of contact welding of plates. This problem appears in connection with the problem of decoding acoustic-emission signals in the course of prediction of the residual life of commercial welded metal objects hazardous under operating conditions with the help of acoustic-emission systems based on the use of circular piezoelectric sensors.