Software Package Waves-L for Simulation and Visualization of Wave Processes in an Elastic Layer

Authors

  • E. V. Glushkov Institute for Mathematics, Mechanics and Informatics
  • N. V. Glushkova Institute for Mathematics, Mechanics and Informatics
  • S. I. Fomenko Institute for Mathematics, Mechanics and Informatics
  • A. A. Eremin Institute for Mathematics, Mechanics and Informatics
  • A. A. Evdokimov Institute for Mathematics, Mechanics and Informatics
  • O. I. Novikov Institute for Mathematics, Mechanics and Informatics

DOI:

https://doi.org/10.14529/mmp190109

Keywords:

elastic layer, normal modes, integral and asymptotic representation of wavefields, graphical user interface.

Abstract

The software package WAVES-L is intended for fast and interactive simulation of wavefields generated by a prescribed surface load in an elastic layer with three possible types of boundary conditions at the waveguide’s bottom surface is considered. The algorithms realized in the programme are based on the explicit integral representations of the source-induced wavefields and corresponding asymptotic expansions for the guided waves propagating from the source to infinity. In the nearfield, including the points beneath the loading area, the amplitude-frequency characteristics of the total wavefield are computed using the numerical integration of improper contour integrals. The calculation of dispersion curves characteristics and eigenforms of guided waves is realized as well. WAVES-L is supplied with a user-friendly interface, which supports convenient change of the input parameters and provides demonstrative visualization of wavefield dependencies on frequency and spatial variables. The software package has a potential application in ultrasonic non-destructive testing and structural health monitoring of thin-walled engineering constructions. It can also be used in education, within the framework of laboratory classes in the corresponding specialization. The article presents examples of screenshots and graphs of experimental validation of the calculated results.

Author Biographies

E. V. Glushkov, Institute for Mathematics, Mechanics and Informatics

Doctor of Physico-Mathematical Sciences

N. V. Glushkova, Institute for Mathematics, Mechanics and Informatics

Doctor of Physico-Mathematical Sciences

S. I. Fomenko, Institute for Mathematics, Mechanics and Informatics

Candidate of Physico-Mathematical Sciences

A. A. Eremin, Institute for Mathematics, Mechanics and Informatics

Candidate of Physico-Mathematical Sciences

A. A. Evdokimov, Institute for Mathematics, Mechanics and Informatics

Postgraduate

O. I. Novikov, Institute for Mathematics, Mechanics and Informatics

Postgraduate

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Published

2019-08-21

Issue

Section

Programming