
Features of the interpretation of the dispersion Rayleigh-Lamb equation in the matlab environment
Author(s) -
O.N. Petrishchev,
T.A. Ryabush,
Aleksandr Shpin
Publication year - 2011
Publication title -
èlektronika i svâzʹ
Language(s) - English
Resource type - Journals
eISSN - 2312-1807
pISSN - 1811-4512
DOI - 10.20535/2312-1807.2011.16.4.245673
Subject(s) - dispersion (optics) , matlab , rayleigh scattering , rayleigh wave , acoustics , lamb waves , phase velocity , dispersion relation , mathematical analysis , physics , wave propagation , optics , mathematics , computer science , operating system
A new computer method of calculation of the Rayleigh-Lamb dispersion equation of longitudinal waves in elastic waveguides is сonsidered. A compact and effective program for building a normal waves spectrum and phase velocity dependence of elastic waves propagation from a waveguide thickness and frequency for traditional dispersion equation is created by means Symbolic Math Toolbox in MATLAB environment. With using MATLAB analytical approximation graphical dependencies in the form of polynomials of various degrees, which allows to estimate the level of dispersion distortions of transmitted pulse signals, are obtained