Study of the lamb waves propagation along a plate in contact with a randomly inhomogeneous heterogeneous medium

Abstract

<p>We present results of research into the influence of characteristics of a heterogeneous medium on the Lamb wave propagation process parameters along a plate in contact with a given medium. A mathematical description of the Lamb wave propagation process in a metallic plate was formed. Analytical expressions are derived for determining the displacement potentials that describe, respectively, the longitudinal and transverse waves in a plate with a thickness of 2d at frequency ω. The possibility is shown of the existence under given conditions of a certain finite number of symmetric and antisymmetric Lamb waves. The mentioned waves are different one from another in phase and group velocities, as well as the distribution of displacements and stresses along the plate's thickness.</p><p>We have investigated dependence of the Lamb wave attenuation on the characteristics of fluid in contact with the propagation medium. In the case when the Lamb wave propagation medium borders the fluid and the speed of sound in liquid C<sub>l</sub> is less than speed C of the wave in a plate, the Lamb wave will attenuate radiating energy into liquid. It was established that the attenuation is due to the density of the studied medium. Viscosity and motion speed of a gas-containing suspension, for example iron ore pulp, have almost no effect on the magnitude of attenuation of the Lamb waves.</p><p>The significance of the obtained results is emphasized by the fact that they could be used to develop improved methods and tools to control parameters of gas-containing suspensions. The use of Lamb waves makes it possible to avoid measurement errors associated with the presence of microdefects at the surface of propagation and gas bubbles in the examined liquid.</p><p>From a practical point of view, the results obtained could be used for the calculation of parameters for the sources of ultrasonic waves in the systems of ultrasonic testing. Thus, there is an opportunity to improve efficiency of technological processes in the mining and metallurgical industry, specifically, the enrichment of ore.</p>

Authors and Affiliations

Vladimir Morkun, Natalia Morkun, Vitaliy Tron, Svitlana Hryshchenko

Keywords

Related Articles

Development of a method for triangulation of inhomogeneous regions represented by functions

<p>In the process of designing structures from inhomogeneous materials, there is the need to build discrete models that consider the peculiarities of the geometrical shape of subdomains from different materials. The firs...

Ontological support formation for constructive-synthesizing modeling of information systems development processes

<p>The globalization of information systems (ISs) in the process of continuous operation and modernization creates new problems and reveals specific representations of IS tasks. Such a complex industry IS, requiring appr...

Construction of models for estimating the technical condition of a hydrogenerator using fuzzy data on the state of its local nodes

<p>The task on estimating the technical condition of a hydrogenerator under conditions of fuzzy information has been resolved. To this end, a series of models have been constructed for the integrated estimation of the te...

The effect of external magnetic flux field in the QTS weldment on the change of fatigue crack propagation behaviors

<p class="a">This investigation discusses fatigue crack propagation behaviors on the welded joint of Hot Rolled Quench Tempered Steel (QTS) in which during welding process the fusion zone of the joint was subjected to ma...

Effect of flour made from waxy wheat on the structural–mechanical properties of dough for hardtacks without sugar

We have analyzed problems arising in the production of bakery products without sugar or with its reduced content. The technological properties of flour made from a new kind of wheat, the waxy wheat variety Sofiyka, which...

Download PDF file
  • EP ID EP527761
  • DOI 10.15587/1729-4061.2018.124057
  • Views 74
  • Downloads 0

How To Cite

Vladimir Morkun, Natalia Morkun, Vitaliy Tron, Svitlana Hryshchenko (2018). Study of the lamb waves propagation along a plate in contact with a randomly inhomogeneous heterogeneous medium. Восточно-Европейский журнал передовых технологий, 1(5), 18-27. https://europub.co.uk./articles/-A-527761