Chernyshov, A. D. Popov, V. M. Goryainov, V. V. Leshonkov, O. V.
Published in
Journal of Engineering Physics and Thermophysics

By the fast expansion method, the authors have obtained the approximate solution of the problem in analytical form, which holds true at all points of the cylinder up to the boundary. From an analysis of the solution, it follows that the broken thermal contact between annular regions gives rise to a weak thermal resistance. Beginning with four annul...

Kovtun-Kuzhel, V. A. Ponyavina, A. N.
Published in
Journal of Applied Spectroscopy

We performed a numerical simulation of the scattering phase function for scattering of light by dimers of dielectric cylinders of finite length, using the volume integral equation formalism. We have studied the dependence of the scattering phase function on the optical and geometric parameters of the individual cylinders and their relative position...

Popovych, V. S. Zavodovs’ka, N. O.
Published in
Materials Science

Based on the model of a heat-sensitive body, we determine the temperature field of a finite-length cylinder under the conditions of convective heat exchange through all surfaces of the body with hightemperature media. In this case, the heat transfer coefficients on the boundaries are different and the temperature of the medium around the cylindrica...

Popov, V. G.
Published in
International Applied Mechanics

The stress intensity factors (SIF) for a plane circular crack in a finite cylinder undergoing torsional vibrations are determined. The vibrations are generated by a rigid circular plate attached to one end of the cylinder and subjected to a harmonic moment. The boundary-value problem is reduced to the Fredholm equation of the second kind. This equa...

Popov, V. H.
Published in
Materials Science

We determine the stressed state of a finite cylinder containing an outer circular crack in the process of torsional oscillations. The oscillations are caused by the action of a harmonic torsional moment upon a rigid circular plate attached to one end of the cylinder. The problem is reduced to a Fredholm integral equation of the second kind for the ...

Dynich, R. A. Kovtun-Kuzhel, V. A. Ponyavina, A. N.
Published in
Journal of Applied Spectroscopy

Angular dependences of electromagnetic radiation scattered by separate finite dielectric cylinders and their ordered assemblies have been numerically simulated using a volume integral equation formalism. Dependences of directional diagrams on optical-geometric parameters of both the separate finite cylinders and their spatial ordering were studied....

Revenko, V. P.
Published in
International Applied Mechanics

The three-dimensional Lamé equations are solved using Cartesian and curvilinear orthogonal coordinates. It is proved that the solution includes only three independent harmonic functions. The general solution of equations of elasticity for stresses is found. The stress tensor is expressed in both coordinate systems in terms of three harmonic functio...

Vaisfel’d, N. D.
Published in
International Applied Mechanics

The paper proposes an approximate solution describing a collision of an elastic finite-length cylinder with a rigid barrier when the lateral boundary conditions of the first fundamental problem of elasticity are satisfied. A finite-difference approach with respect to time and the integral transform method are used to reduce the original initial-bou...

Fil’shtinskii, L. A. Bondar’, A. V.
Published in
International Applied Mechanics

A dynamic boundary-value problem of coupled thermoelasticity for a finite cylinder with mixed boundary conditions is solved. The problem is reduced to a system of four singular integral equations solved by the mechanical-quadrature method. A numerical experiment is conducted to obtain amplitude-frequency characteristics for finite cylinders with di...

Karnaukhov, V. G. Senchenkov, I. K.
Published in
Journal of Engineering Mathematics

A coupled thermomechanical behavior of a finite viscoelastic cylinder under harmonic kinematic excitation at its ends is investigated. The method of superposition is utilized to determine the stress-strain state of the cylinder. A refined asymptotic technique is developed to find the stress-strain state at each point of the body including the corne...