Mechanics

Method of Boundary States as an Effective Technique of Solving of Heterogeneous Problems of Elasticity Theory

Authors: Penkov V. B., Satalkina L. V.

Method of boundary states in combination with perturbation technique discovers its efficiency on heterogeneous problems of elastostatics. Solutions of problems for body of geometric configuration «peg», produced from heterogeneous material with axisymmetric heterogeneity is performed and illustrated.

Application of Program Complex ANSYS to Calculation of the Thick-Walled Pipeline Which is Exposed to High-Temperature Local Hydrogen Corrosion

Authors: Ovchinnikov I. G., Bubnov S. A.

The way of application of program complex ANSYS to the decision of problems of calculation of the is intense-deformed condition and destruction of the cylindrical constructive element which is in conditions of non-uniform hydrogen corrosion is considered.

The Second Boundary Problem for the System Hyperbolic Type Second Order for Large T

Authors: Lexina S. V.

In the paper we consider the control problem for objects which vibration are described by the system of ware equations with boundary condition of the second kind.

Investigation of Quasi-Static Bending of the Bar on the Basis of Variation Problem

Authors: Gritsenko A. V.

The investigation of the existence of quasi-static behavior of elastic cantilever bar subjected to potential external effects. For the case when the mathematical model is a variational problem is obtained statically singular point, when crossing the path of loading is a change of type of quasi-static process.

Stability of the Cylindrical Cover with the Elastic-Viscous-Plastic Filler at Axial Compression

Authors: Gotsev D. V.

Within the limits of the exact three-dimensional equations of stability of an equilibrium state of a cylindrical cover with a filler is investigated at axial compression. Calculations were spent for a case when the cover material was modelled by an elastic body, and a filler material – environment with difficult rheological properties – elasticviscous-plastic. The estimation of influence on size of critical pressure of parameters of a cover and a filler is given.

Temperature Distribution Inside the Ring of Liquid with Two Free Borders in the Nonclassical Model of Hydrodynamics

Authors: Bytev V. O., Gerber E. A.

The article deals with the task to determine the velocity field and temperature field inside the insulated ring of incompressible viscous fluid with two free boundaries in the non-classical model of hydrodynamics. The solution to the Navier – Stokes equations and heat equation obtained by numerical methods. Analysis of the results of numerical experiments reveal the effect of nondissipative viscosity on the temperature distribution inside the ring.

Construction and Stabilization Program Motions of Nonautonomous Hamiltonian Systems

Authors: Bezglasnyi S. P., Kurkina E. V.

We consider program motion of Hamiltonian system and solve the problem of construction asymptotically stability programm motion. The programm motion can be any function. Control is received in the method and the method of limiting functions and systems. In this case we use the Lyapunov’s functions having constant signs derivatives. The following examples are considered: stabilization of program motions of homogeneous rod of variable length and stabilization of program motions of mathematical pendulum variable length in the rotation plane.

Influence of the Variable Aerodynamic Moment on Satellite Attitude Motion

Authors: Aslanov V. S., Pirozhenko A. V., Kislov A. V., Maslova A. I.

Attitude motion of a rigid body in the plane of a circular orbit under gravitational and aerodynamic moments is considered. The mode of the motion of a satellite gravitational stabilization when its long axis moves in the vicinity of a local vertical is investigated. Allowance of variations in the atmosphere density at a satellite orbital motion and in the aerodynamic moment coefficient depending on its orientation to an approach flow is included in the aerodynamic moment model.