Slip of a rigid cylinder along a viscoelastic foundation in the presence of friction

The problem of the slip of a rigid infinitely long cylinder along a viscoelastic foundation in the presence of friction forces dependent on the slip rate is solved in a linear quasistatic arrangement. The effect of the rheological characteristics of the foundation material and other factors on the point displacement of the surface in front of the moving cylinder is studied. Rather good agreement is obtained between theoretical and experimental data.Institute of Mechanics of Metal-Polymer Systems, Academy of Sciences of the Belorussian SSR, Gomel'. Translated from Mekhanika Polimerov, No. 6, pp. 1058–1064, November–December, 1974.     

Investigation of the effect of rheological factors on the magnitude of the circular zone of plasticity in a cylinder of elastoplastic material

The problem of the effect of rheological factors on the magnitude of the circular zone of plasticity in a cylinder of elastoplastic material was solved for two cases: for a cylinder of material reinforced with concentric fibers and for an isotropic cylinder under conditions of plane axisymmetric strain. The displacements and stresses arising in the investigated cylinders were obtained. In each case bilateral estimates were obtained for the time-variable unknown radii of plasticity.Dnepropetrovsk State University. Translated from Mekhanika Polimerov, No. 1, pp. 118–123, January–February, 1972.     

Deformation of a glass-reinforced plastic cylindrical shell encased in a thick-walled elastic cylinder

A solution is given for the axisymmetric problem of the deformation of an orthotropic glass-reinforced plastic shell of finite length encased in a soft transversely isotropic cylinder under internal pressure.Moscow Institute of Heat Engineering. Translated from Mekhanika Polimerov, No. 1, pp. 164–168, January–February, 1973.     

Creep of a multilayer cylinder under nonisothermal loading

A method is proposed for calculating the creep of a multilayer cylinder under nonisothermal loading with allowance for the temperature dependence of the physico-mechanical characteristics of the material. Numerical examples are considered. The states of stress and strain of the viscoelastic and elastic components of a two-layer cylinder are compared.Baranov Central Institute of Aviation Engine Construction, Moscow. Translated from Mekhanika Polimerov, Vol. 5, No. 2, pp. 321–327, March–April, 1969.     

Thermoelastic stresses in a nonuniform orthotropic cylinder

The stress distribution in a cylinder with cooling nonuniform with respect to the circumferential coordinate is investigated. The nonuniformity of the mechanical properties of the material in this direction is taken into account. Numerical results obtained at values of the parameters characteristic of wound glass-reinforced products are discussed.Moscow Power Engineering Institute. Translated from Mekhanika Polimerov, No. 3, pp. 560–563, May–June, 1975.     

Deformations of a thick-valued,slowly rotating cylinder under gravitational load

An analytic method of calculating the deformations of an infinitely long thick-walled cylinder under a periodically varying gravitational load is described. The cylinder material is linearly viscoelastic. The solution employs the elasto-viscoelastic analogy. The corresponding elastic problem is solved by Muskhelishvili's method. The nonhomogeneity of the equilibrium equations is eliminated by applying the theorem of body forces with a potential function. As an example the maximum displacements of the inner channel are calculated for a cylinder of incompressible material in the cases of slow continuous rotation and periodic rotation through 180°.Ordzhonikidze Moscow Aviation Institute. Translated from Mekhanika Polimerov, No. 4, pp. 727–733, July–August, 1970.     

The dynamic problem of a cylinder with a slowly changing internal boundary

The problem of a hollow, viscoelastic cylinder confined in a shell is considered, and it is shown that the internal diameter changes. The fluctuations arising on applying a variable, internal pressure are analyzed.Institute of Flectronic Engineering, Moscow. Translated from Mekhanika Polimerov, No. 6, pp. 1059–1065, November–December, 1972.     

Influence of the mechanical properties of a cylinder on the temperature stresses with allowance for the edge effect

The volume state of stress of a hollow homogeneous cylinder with temperature varying along the radius is analyzed for various values of Poisson's ratio, which in polymers may fluctuate over a wide range. The stresses in a cylinder of polymeric material, calculated with and without allowance for the temperature dependence of the modulus of elasticity for the same loading conditions, are subjected to a comparative analysis. Numerical results are obtained on the basis of a solution of the axisymmetric three-dimensional problem of thermoelasticity for an inhomogeneous cylinder using a collocation method.Moscow. Translated from Mekhanika Polimerov, No. 6, pp. 1083–1086, November–December, 1969.     

Torsion of high-elastic cylinders reinforced with a rigid sleeve

The state of stress is analyzed for a cylinder of elastomeric material reinforced with a rigid sleeve and subjected to large torsional strains. Both compressible and incompressible materials are considered.Translated from Mekhanika Polimerov, No. 3, pp. 551–553, May–June, 1969.     

Motion of a non-Newtonian liquid in the annular channel of an insulation-coating tool

The axisymmetric flow of a non-Newtonian liquid with an exponential rheological law between two coaxial cylinders is considered for the case when the outer cylinder is fixed and the inner cylinder moves freely together with the liquid. At the outer cylinder the liquid moves either with or without slip. The individual theoretical conclusions are confirmed by the experimental results.Mekhanika Polimerov, Vol. 3, No. 1, pp. 151–155, 1967     

Calculation of the electric field of a capacitor with a cylindrical dielectric

The calculation of the electric field and capacitance of a capacitor consisting of ribbon electrodes arranged longitudinally on the surface of a dielectric cylinder is considered in relation to two cases: a symmetrical three-electrode system and a nonsymmetrical two-electrode system.Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 3, pp. 526–530, May–June, 1971.     

Nonlinear dynamical problem of a cyclinder with a slowly changing internal boundary

The problem of a hollow viscoelastic cylinder enclosed in an elastic shell is examined. The inside diameter varies. A nonlinear cubic theory is used to describe the relation between the stresses and strains in time. A vibration analysis is carried out for variable internal pressure.Moscow Institute of Electronic Machine Building. Translated from Mekhanika Polimerov, No. 2, pp. 274–280, March–April, 1973.     

State of stress and strain of a rubbery cylindrical layer reinforced by an anisotropic shell

An exact solution is obtained for the nonlinear problem of elastic equilibrium of a rubbery cylinder reinforced by an anisotropic shell.L'vov Polytechnic Institute. Translated from Mekhanika Polimerov, No. 3, pp. 534–537, May–June, 1971.     

Vibrational mixing of granular solids in a horizontal circular cylinder

The hydrodynamic model of an incompressible viscous fluid described by the Navier-Stokes equations is applied to examine the dynamics of motion of a granular substance in a vibrating horizontal circular cylinder. The numerical results are represented by flowline maps for a fixed time moment. The maximum mixing of granular particles is observed in a zone directly adjacent to the wall of the vibrating cylinder and the particle velocities diminish in the direction toward the cylinder axis, which produces almost stagnant zones.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 75–79, 1986.     

Calculation of thermal stresses in an orthotropic cylinder

The present article describes the determination of thermal stresses in an orthotropic cylinder with an axially symmetric temperature field taking into account the change in the elasticity constants over the cylinder radius. A closed solution is given for constant elasticity coefficients.P. I. Baranov Central Institute of Aircraft-Engine Building, Moscow. Translated from Mekhanika Polimerov, No. 2, pp. 310–314, March–April, 1972.     

Optimal rigidity of a thin-walled orthotropic cylinder in combined tension and torsion

The problem of optimizing the reinforcement of an orthotropic cylinder in combined torsion and tension is considered in relation to the condition of minimum displacement. A numerical example is given. It is shown that the stiffness depends on the ratio of the normal and shear stresses, the elastic moduli, and the parameters.Moscow Aviation Technological Institute. Translated from Mekhanika Polimerov, No. 6, pp. 1121–1123, November–December, 1973.     

Radiation and Scattering by Complex Conformal Antennas on a Circular Cylinder

A technique for characterizing and designing complex conformal antennas flush-mounted on a singly-curved surface is presented. This approach is based on the hybrid finite element–boundary integral (FE–BI) method. A related method was proposed in the past utilizing cylindrical-shell finite element and roof-top rectangular basis functions for the boundary integral. Although that method proved very powerful for analyzing cylindrical–rectangular patch arrays flush-mounted to a circular cylinder, the requirement for uniform meshing in the aperture ultimately limited its usefulness. In this present formulation, tetrahedral elements are used to expand the volumetric electric fields while similar basis functions are used for the boundary integral. The curvature of the aperture is explicitly included via the use of the circular cylinder dyadic Green's function. After presentation of the formulation and validation using several well-understood examples, an example is presented that illustrates the capabilities of this method for modeling complex conformal antennas heretofore not examined by rigorous methods due to inherent limitations of the various published methods.     

An asymptotic calculation of the vibrations of a viscoelastic cylinder with a slowly varying internal boundary

The vibrational problem is considered for a long hollow viscoelastic cylinder with a variable internal boundary, this being enclosed in an elastic shell. An asymptotic method based on averaging is used to find the resonant vibrations in response to a small uniformly distributed internal pressure that varies periodically with time. The calculation is carried through to quadrature working formulas.Moscow Institute of Electric Machine Construction. Translated from Mekhanika Polimerov, No. 5, pp. 935–939, September–October, 1973.     

Vibrations of a viscoelastic cylinder with an elastic shell

The nonlinear vibrations of a viscoelastic cylinder with an elastic shell subjected to two harmonic forces are investigated using the averaging scheme described in [3, 4]. Nonresonance, resonance, and subharmonic vibrations are examined. It is shown that the presence of viscosity in the system leads to a single stationary equilibrium position for which the stability conditions are given.V. I. Lenin Tashkent State University. Translated from Mekhanika Polimerov, No. 4, pp. 691–697, July–August, 1973.     

Antiplane strain of an elliptical cylinder with a crack

The antiplane strain of an anisotropic elliptical cylinder with a crack is examined. An infinite system of linear algebraic equations is obtained from the boundary conditions on the cylinder surface to determine the constants in the complex potential of the problem. Detailed numerical investigations are performed of the influence of the geometric and elastic characteristics of the cylinder on the magnitude of the stress intensity coefficients near the outer edge.Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 18, pp. 28–34, 1987.