THREE-DIMENSIONAL PROBLEM OF WAVES PROPAGATION IN HALF-SPACE WITH AN ELASTICALLY RESTRAINED BOUNDARY
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2017, Vol 70, Issue 2
Abstract
In this paper we obtain the dispersion equation of three-dimensional wave propagation problem in half-space with an elastic- restrained border. Research of the problem is simplified by the introduction of potential functions. It is shown that by plane strain the elastic half-space constraint of boundary leads to decreasing of the surface wave localization degree. Three-dimensional surface wave exists only for two kinds of boundary conditions, when the surface of half-space is free from the stresses and the free surface is restrained. In the case of constrained free surface the three-dimensional surface wave has a dispersion property.
Authors and Affiliations
Samvel Sarkisyan
On non-isothermal creep of chrome-nickel steel.
c
The axially-simmetrical vibrations of non-linear elastic shells in longitudinal magnetic field.
c
The contact problem in elasticity theory for the layer locally bound to semispace.
c
Rayleigh waves in magnetostrictive half-space
It is known [1] that shear surface waves cannot propagate in elastic media in the absence of a magnetic field, and Rayleigh surface waves always exist under the indicated conditions. It is known, also, in a magnetosoft f...
Restoration of boundary conditions at the edges of a rectangular plate for given frequencies of spectrum with an inertial element at the edges
In this paper we consider the problem of finding the boundary conditions of a rectangular plate with an inertial element at two opposite edges, if several frequencies of proper transverse oscillations are known. It is as...