THE FORMATION AND PROPAGATION OF ELASTIC (SH) SHEAR WAVES IN A CELLULAR COMPOSITE WAVEGUIDE
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2018, Vol 71, Issue 3
Abstract
The cellular composite waveguide is modeled as a layered waveguide of periodically longitudinally inhomogeneous elastic layers. The dispersion equations of frequencies filtering in periodically inhomogeneous layers, as well as the dispersion equations of wave formation in the composite stratums are obtained and analyzed. It is shown, that through the proper selections of pairs of materials in the layers of periodic structure, as well as of the relative thicknesses of these stratums, different schemes of wave shaping on thickness of the composite waveguide can be obtained. Long wavelength (low frequency) and shortwave (high frequency) approximations of the dispersion equations are numerically examined. A phononic structures of composing layers of the waveguide leads to different zones of the bandwidth of frequencies forming a filter in the separate layers. The localized ultra-short slow elastic shear waves by the borders of the adjacent composite layers don't propagate. The localization of energy of adjacent elastic shear wave (Love type waves) at the borders of neighboring cells is characterized by the modules of physical constants of materials as well as by the ratio of length of the waves to the thicknesses of the composite layers.
Authors and Affiliations
Ara Avetisyan, Vazgen Khachatryan
Keywords
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