Calculation methods for investigation of heat exchange at interaction of a billet and a metallic mould are developed. A numeric solution for the problem of non-stationary heat fields and heat stresses in a mould during thermal-deformation interaction is obtained.

A effect of the duration of mechanochemical activation process on morphology and particle size distribution of composite powder Cu-13 mass% Al has been investigated by quantitative stereological analysis. It has been found that intensive mechanical failure of particles and increased powder dispersion is directly related to the formation of brittle Cu₉Al₄ intermetal-lide. Hydraulic characteristics of porous elements for catalytic membranes obtained by hydration hardening of composite powder Cu-13 mass% Al in the form of an 80-100 μm thick layer on porous titanium discs have been investigated. It was established that the average pore size and permeability coefficient nonmonotonically depend on the particle size of the powder.

An analysis of raw materials for the production of ultrafine powders of Al(OH)₃ is conducted. It is established that the most affordable is the method of deposition of crystals from the supersaturated solution resulting from the processing of nickel- and molybdenum-containing spent catalysts. The influence of technological parameters of the deposition process on the kinetics of release of the crystals and their dispersion is investigated.

A theoretical assessment of the conditions of formation of columnar dendrites in continuous casting is made. A relationship between a shape of dendrite and parameters of external cooling and intensity of circulation of melt near the crystallization front is established. The most effective methods of influence that improve the macrostructure of the workpiece are defined.

A dielcometric methods and techniques for monitoring and diagnosis of the electrical properties of polymer composites are developed. The electrical properties of the composites according to the content and type of filler is conducted in the frequency range of the electric field of 50 Hz-1 MHz.

Superhard composite materials on the basis of micro- and submicron powders of cubic boron nitride and nanostructured refractory nitrides of titanium, aluminum and titanium carbonitride obtained by the method of self-propagating high temperature synthesis are considered. Some physical, mechanical and operating parameters of the composites depending on their composition and technological modes of sintering under high pressure are studied.

Research results of mutual influence of mining workings of the Starobin deposit of potash salts at depths of over 700 m are presented. It is established that the size of zone of influence of excavations on each other rises with increasing depth. The calculation of workings interaction at great depths is considered to be performed using well-known methods with the proposed correction of size of the equivalent drift.

The previously obtained defining relations for monoclinic elastic-plastic material are specified. The criterion of destruction is considered and procedure of its verification is offered. The numerical simulation of simple shear, conducted before the destruction is made.

Actuality of this study is not only in the fact that these problems are not solved for composite rods, but also in the fact that, unfortunately, despite of the huge interest in solving this problems it was still remained methodological inaccuracies in their solutions. Studies carried out led to the conclusion that the known equation of the losses of stability corresponds to only two schemes of constraints of ends of centrally compressed along the 0x axis rod: two fixed-ends in 0y direction, as well as fixation in 0y direction of the top end (it means the rod end of application of the force) and fixation in 0y direction of derivative of the equation of neutral layer of rod at the bottom end. The equation of Euler stability cannot be used to solve the problems of stability with the lower "clamped" and the free top ends. Applied in many papers increasing of order of differential equation for study of other schemes of fixation of rod ends has no mathematical justification. An equation for definition of the value of the first critical force was obtained depending on the concentration of the components in the composite material. The solution to the problem of stability for uniform aging viscoelastic material of rod was hold. The relaxation equation of the first critical load was defined. This solution is generalized to inhomogeneous composite material which consists of homogeneously aging viscoelastic components.

The article deals with the question of determining the capacity of sieve during grinding of grain feed in the grinder with a horizontal position lo-sieve. It is shown that the organization of successive crushing grain forage in a vertical flow is preferred to complete the crusher of the two tiers of sieves. The diameter of the holes in the tiered set sieves should change from large - on the upper sieve, to a smaller - in the bottom.

This article is devoted to application of modern intellectual technologies for modernization and development of water supply systems. A mathematical model of the analysis and management of such networks based on fuzzy mathematics and smart grid technologies is developed. The layout of sensors and methods of measurements by sensors of quality of water are described.

The method of combined space modelling with GIS-technology using for the estimation of environmental effects of energy objects in project, build and work was proposed. The space models for Islamic Republic of Iran energy objects presented.

Geometrical models of formation and prediction of multi-angle images are proposed. On the basis of these models for different methods of motion compensation the dependences of the compression ratio from the conditions of the forming of the multi-angle images and from the path of the camera moving are defined. Algorithms for coding of the multi-angle images with adaptive prediction based on motion compensation with different computational complexity are developed. An assessment of the effectiveness of multi-angle image encoders with adaptive prediction is produced.

Results of study of mechanical properties of cells depend essentially on a method of their preparation and measurement conditions for determining these properties. Determination of modulus of elasticity is performed by processing the data of indentation using the most suitable mathematical model. The most frequently used model is the one by Hertz. The paper presents the results of investigations of the elastic properties of the pre-fixed with glutaraldehyde, and air-dried platelets of healthy young people. The elastic moduli were determined by nanoindentation curves obtained by atomic force spectroscopy. Analysis of the results of measurements carried out both with Hertz model and taking into account the adhesion forces according to the model of Johnson-Kendall-Roberts (JKR) is made. Determined average values of elastic modulus and surface density of adhesion energy and histograms showing frequency distributions of the moduli of elasticity of different values are presented.

A structure and algorithm of work of an adaptive path processing are presented. The comparative analysis of efficiency coordinated, not coordinated and adaptive path processing of the radar-tracking receiver by a method of mathematical modeling is carried out.

Research and calculations results have been demonstrated that the dependence of the efficiency of magnetostatic shielding for shells with different thickness have a maximum whose position shifts with increasing thickness of the shielding cover in the area of higher fields. Positions of the peaks on the curve Э=Э(Н) and μ=μ(Н) do not coincide with each other. It is difficult to interpret in terms of the shunting model. The results can be explained by nonlinear nature of the distribution of the magnetic permeability witnin the thickness of the shields. The analytical calculations of the average permeability of cylindrical shells with varying thickness were carrying out depending on the strength of the external static magnetic field. It is shown that the courses of the experimental Э=Э(Н) and calculated μ₀=μ₀(Н) dependencies correlate with position of maximum.

The problem of numerically-controlled cutting machines efficiency increase by insertion of the kinematics instability in the cutting process is considered. Mathematical models of cutting speed and feed control in the function of path are presented.