On the propagation of waves in dissipative layered cylindrical bodies

Abstract

In work questions of distribution of characteristic waves in the dissipative stratified cylindrical bodies interacting with deformable (viscoelastic) environments are considered. The dynamic behavior of cylindrical bodies is described by the equations of a mechanics of continua. The spectral task comes down to the solution of system of ordinary differential equations of first order with variable complex coefficients. The solution of system of differential equations is expressed by means of Bessel and Hankel’s cylindrical higher transcendental functions. The frequenciest equations are solved numerically by methods of Müller and Gauss. Change of a natural frequency and phase speed depending on a wave number is investigated. For dissipative heterogeneous mechanical systems nonmonotone dependence of imaginary parts of phase speeds on wave numbers is found.

Determination of loads of blast wave on aboveground and underground structures

“…Stresses and deformations occur in the environment of earth during the propagation of the waves caused by the explosion, which can negatively affect the strength of protective structures. In a number of cases, especially during strong earthquakes, visible cracks appear in the surface layer of the earth's crust [1][2][3]. They can be hundreds of kilometers long, several meters wide, and tens meters or even more deep.…”