Mechanics

The Feature of Non-Isothermal Viscoelastic Flows Around Sphere at Obstruction Condition

Authors: Snigerev B. A., Tazyukov F. K.

The numerical study is performed for study of the viscoelastic flow characteristics and heat transfer around sphere. The flow of liquid is described by equations of conservation of mass, momentum and thermal energy with rheological constitutive equation of Phan-Thien Tanner(PTT). Thismodelrepresents generalizedMaxwell typemodel with two additional parameters developed from kinetic theory of polymers. The nonlinear behaviour of fluid velocity behind body (<<negative wake>>) is observed.

Static Bending and Steady-State Vibrations of Thin Cylindrical Shells Under Local Load

Authors: Safonov R. A.

The spline collocation method is being used for solving static bending and steady-state vibrations ploblems for thin cylindrical shell under local loads. Maximum displacement values and first three resonance frequencies are given.

A Boundary-Value Problem with Shifted for a Mixed Type Equation with Fractional Derivative

Authors: Repin O. A., Sayganova S. A.

A non-local problem for a mixed type equation with partial fractional derivative of Riemann – Liouville is studied, boundary condition of which contains linear combination of generalized operators of fractional integro-differentiation. Unique solvability of the problem is then proved.

Analytical Solution of Differential Equations of Circular Spacecraft Orbit Orientation

Authors: Pankratov I. A., Chelnokov Y. N.

The problem of optimal reorientation of spacecraft’s orbit with a limited control, orthogonal to the plane of spacecraft orbit is being investigated. We have found an analytical solution of differential equations of circular spacecraft orbit orientation by control that is permanent on adjacent parts of the active spacecraft’s motion.

A Certain Approach to Solving of Some One-Dimensional Contact Problems

Authors: Nyashin Y. I.

The paper deals with the problems of the unbonded contact of beams, strings, circular membranes and plates. A new approach to solving of such problems is suggested. This approach includes the rigorous problem statement, the elementary proof of the uniqueness of solution and the analytical solution construction method. The method is based on the iterative correction of the contact region. A number of examples of this method application are given.

Simulation of Partial Closure Crack-Visible Cavities in Burning Solid Fuel Under the Influence of Body Forces

Authors: Mirsalimov V. M., Rustamov B. E.

On the basis of the theory of elasticity mathematical description of the model for the covering crack-visible cavities with end zones in which cohesive forces of material act, in the burning solid-fuel has been performed. It is accepted that the interaction of crack-visible cavity surfaces under the influence of body and surface loads leads to the appearance of overlap zones of their surfaces.

Generalized Cross-Coupled Type-III Thermoelastic Waves Propagating via a Waveguide under Sidewall Heat Interchange

Authors: Kovalev V. A., Radaev Y. N., Revinsky R. A.

The paper is devoted to a study of cross-coupled type-III generalized thermoelastic waves propagation via a long cylindrical waveguide. The sidewall of the waveguide is assumed free from tractions and permeable to heat. The analysis is carried out in the framework of coupled generalized theory of GNIII- thermoelasticity consistent with the basic thermodynamic principles. The theory combines the both possible mechanisms of heat transfer: thermodiffusion and wave.

The Cortical Bone Tissue Controlled Recovering After Treatment in the External Fixation Apparatuses

Authors: Akulich Y. V., Akulich A. Y., Bryukhanov P. A., Denisov A. S.

The paper represents the new bone tissue rehabilitation method. The rehabilitation control loads are affected to the regenerative lower extremity by the use of a special training device. The adaptive changes of the elasticity modulus, porosity, volumetric mineral content and strengthening of the cortical bone tissue are simulated during the union of a bone using the external fixation apparatus (by example of the Ilizarov’s pin apparatus) and the following rehabilitation time.