THE INSTABILITY OF SHEAR NORMAL WAVE IN ELASTIC WAVEGUIDE OF WEAKLY INHOMOGENEOUS MATERIAL
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2016, Vol 69, Issue 3
Abstract
The influence of a weak longitudinal inhomogeneity on normal shear waves under different mechanical boundary conditions is investigated. It is shown, that for clamped smooth surfaces of isotropic elastic layer, occurs asymmetric localization of wave energy near the mid-surface layer. On the other side, for mechanically free smooth surfaces, near-surface localization of wave energy appears near mechanically free surfaces of the waveguide, but more intense localization appears again near the mid-surface layer. In both cases, due to the influence of material inhomogeneity on the normal wave, some distortion of amplitude and phase functions occur due to the change of formation coefficients (of frequencies). In both cases of boundary conditions, the weak inhomogeneity of the material leads to presence of frequency zones of transmission or prohibition of the formed wave. It is shown, that it is possible internal resonance in some higher forms.
Authors and Affiliations
A. Hunanyan
On statistic description of perturbed motion of artificial earth satellites.
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On stability of heterogeneously visco-elastic bars.
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On an axisymmetric contact problem for a finite length cylinder.
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Construction of some conformal mapping functions double-connected regions and their application to the torsion problem.
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Diffraction of shear plane wave in piezoelectric media on the edge of semi-infinite metallic strip.
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