On the dispersion relations for an inhomogeneous waveguide with attenuation

Some general laws concerning the structure of dispersion relations for solid inhomogeneous waveguides with attenuation are studied. An approach based on the analysis of a first-order matrix differential equation is presented in the framework of the concept of complex moduli. Some laws concerning the...

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Bibliographic Details
Published in:Mechanics of solids 2016-09, Vol.51 (5), p.576-582
Main Authors: Vatul’yan, A. O., Yurlov, V. O.
Format: Article
Language:English
Subjects:
Attenuation
Classical Mechanics
Differential equations
Inhomogeneity
Physics
Physics and Astronomy
Waveguides
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Summary:Some general laws concerning the structure of dispersion relations for solid inhomogeneous waveguides with attenuation are studied. An approach based on the analysis of a first-order matrix differential equation is presented in the framework of the concept of complex moduli. Some laws concerning the structure of components of the dispersion set for a viscoelastic inhomogeneous cylindrical waveguide are studied analytically and numerically, and the asymptotics of components of the dispersion set are constructed for arbitrary inhomogeneity laws in the low-frequency region.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654416050101