Within approaching the plane-stress state the problem of a high-speed rotating disk being under side pressure is considered. Within the model of a perfect rigid-plastic body and the Mises yield criterion the values of external parameters for which the plastic zones appear have been defined. The stresses in plastic zones are obtained from the solution of the Cauchy problem, which includes two differential equations to define the stress tensor nonzero component. In order to estimate the stress state in the elastic zone the equivalent stress is introduced. The maximum allowable values of external parameters are obtained from the solution of the problem when the disk is in the limit state. The numerical results are represented as the stress vector hodograph.

Keywords: the plane-stress state, Mises yield criterion, the equivalent stress, an elasto-plastic solid, a rotating disk, a stress vector hodograph

Finite state machines, being a mathematical abstraction, allow you to perceive information from the control object, process it and give signals to control the object. The disadvantages of the representation of complex production systems by a set of finite state machines include the complexity of carrying out logical and set-theoretic operations on them and the complexity of describing the parallelism that occurs in the operation of complex production systems. When specifying a finite state machine in the matrix–predicate form, due to the information redundancy, it is possible to avoid these difficulties. Matrix–predicate method allows you to uniquely set the finite state machine square matrix, which makes it possible to use the methods of the theory of matrices during the set–theoretic operations on them and it is possible to avoid isomorphism. The paper presents the developed methods of representation of a finite state machine using a multi-place predicate, which greatly simplifies its task.

Keywords: finite state machine, graph, matrix, predicate, algorithm, matrix–predicate method, graph incident, tuple, Cartesian product, complex production systems

Mathematic modeling of the state of a thin round disk being heat and force affected is performed. In the central part of the disk the homogeneous field of temperatures is formed. Within the deformation theory of a perfect elasto-plastic solid the quadratic plasticity condition is chosen. The relationships between the radius of the disk, the temperature of the central part of the disk and the external pressure which defines the appearance of plastic zones have been established. For different values of external parameters of the model the stress vector hodograph and the plots of stresses and equivalent stresses have been introduced.

Keywords: mathematic modeling, an elastic-plastic solid, the plane-stress state, the deformation theory, thermo-elasto-plasticity, a high-speed rotating disk

The article deals with the processes of separation of thin films of oil liquids on the basis of rotary-belt type devices. The analysis of interaction of liquids and working body is made. The model of formation of oil films and their separation is described. the Studies create prerequisites for the development of engineering methods for calculating the design and operating parameters of the rotor-belt device for the formation of emulsion films and cleaning water surfaces from oil films, which is of great environmental importance.

Keywords: emulsion, film, apparatus, oil stain, viscosity, water surface cleaning

Despite numerous advantages, green construction has not yet acquired significant proportions, since modern environmental technologies in construction lead to increased costs, and legislation is also not being adapted to new certification systems. This article outlined the main objectives of "green" construction. Considered the most important principles on which it is based. Analyzed the modern "green" standards for environmental performance of buildings, discussed in detail the methods for determining the rating of a building on specific scales. The advantages and disadvantages of environmental standards were also noted, groups of organizations in the field of “green” construction in Russia were considered.

Keywords: environmental technology, green building, green standards, energy saving, energy efficiency, energy consumption, green building, renewable energy sources

In article the design of an integrated micromechanical accelerometer of capacitive type is considered. The method with use of operation of self-assembly, constructed on the basis of the operated self-organization of mechanically intense semiconductor layers of GaAs/InAs is considered. This design was designed also a promodelirovana in ANSYS CAD. Results of model operation meet requirements, shown to present microaccelerometers, and give the chance to use them for further perfecting of structures of the given type. It is possible to use the obtained data in particular for calculation of the recommended parameters when developing techniques of projection of accelerometers and gyroscopes and also for development of more precise models of microelectromechanical structures.

Keywords: MEMS, capacitive type, micromechanical accelerometer, design, sensor, sensor, mathematical model, GaAs/InAs

The article shows the possibility of describing complex objects with parallel functioning components in the form of structures built on the basis of neural networks. The neural network is represented by an operator matrix, that is, a formal description that gives a universal way to solve many non-standard control problems. Matrix apparatus is shown to significantly improve the efficiency of the method compared to previously known. It is concluded that the representation of the neural network by the operator matrix provides a universal way to solve the problems of transport and information flows management; neuron-like systems based on such representation of the neuron are able to catch complex nonlinear relationships, self-improvement, learning in the process of use. Their use provides ample opportunities for finding and implementing effective solutions to the problems of management and control of flows

Keywords: graph, parallelism, transport and information flow, neural network, synaptic weight, predicate, activation function, operator matrix, neuron, complex systems

The article deals with the work of mechanical absorbers, where the working body is presented in the form of a rotating cylinder. The analysis of interaction of liquids and a working body in similar devices is made. The mutual influence of liquid layers and the action of the working body are considered. The estimation of the force factors of the dynamic layer entrained by the rotating cylinder is obtained. The study presented in the article will help in the preparation of engineering methods for calculating the operating and design parameters of devices.

Keywords: absorber, emulsion layer, capillary forces, emulsion, static meniscus region, capillary pressure, immiscible liquids, rotating cylinder, liquid, Navier-Stokes equation

The development of modern technology makes increasingly stringent requirements for materials, and improving the reliability and durability is an urgent task for many industries. One of the most important elements of the automatic coupling device of the car is the absorbing device. The parts included in it must meet high standards, be reliable and provide the necessary hardness and mechanical properties of the materials throughout the life cycle of the car. One of these parts included in the friction unit of the absorbing device is a movable plate. In the present work, an example of modernization of the absorbing apparatus through the use of modern methods of modeling and manufacturing of a fixed plate is given. The technical result is to reduce consumption of materials of the movable plate, and to simplify the manufacturing process of the plate by making it from rolled steel.

Keywords: Absorbing apparatus, modeling, mobile plate, energy consumption, friction unit, friction, wear resistance, reliability, durability

The article deals with the process of spraying immiscible liquid media with a disk spray. A mathematical model for determining the dispersion characteristics of spraying is proposed.

Keywords: liquid, atomization, flow, speed, dosing

Research of models of formation of integration projects on the basis of points of growth reveals a number of important aspects related to the stages and management of their implementation. The focus on the formation and support of growth points essentially excludes the use of unary models in the planning and implementation of projects within the framework of national programs. In order to overcome the limitations imposed by this type of project, various integrative mechanisms are proposed. The peculiarity of the considered binary models describing the integration mechanisms is the preservation of the basic cycle of the project points of growth within the national program. However, the introduction of additional contours in the model with growth accelerators, with related or integrated projects, as well as attracted resources can reduce the risks caused by high rates of development and innovation issues. The integration potential of the binary model with the project of the growth point in the basic circuit generates a dynamic competitive advantage, i.e. a sustainable, increasing advantage over time that is not related to the amount of initial funding. This advantage generates a powerful growth cycle that can provide a significant increase in profitability over a long period of time. The integrative nature of growth point projects should be envisaged already at the planning stage of national programmes with appropriate monitoring and funding instruments.

Keywords: Decree of the President of Russia, southern Federal district, points of growth, model, project, program, integration, mechanism

The problem of transmitting an image in a transmitter-receiver system over a noisy data transmission channel in JPEG 2000 and JPWL format under conditions of a previously unknown and varying intensity of noise is considered. This task is considered for the conditions of the IP network. The article aims to build methods for estimating the intensity of noise by the JPWL decoding results in the receiver and dynamically adapting the parameters of the JPWL transmitter to the current assessment of the noise intensity, ensuring the highest quality of the decoded image with the shortest length of the transmitted encoded stream. An experimental study of the relationship between the parameters of JPWL, the intensity of noise and the quality of the decoded image was carried out. It is shown that for any JPWL parameter there is a region of one-to-one correspondence between the percentage of fully recovered tiles and the probability of losing a network packet. A technique for estimating the intensity of noise by the decoding results of a single image is described. This technique can be expanded to use the results of decoding a series of images.

Keywords: noisy channel, antinoise coding, noise intensity, decoding result, JPEG 2000, JPWL, experimental model

The article deals with the principle of emulsion formation in mechanical absorbers, where the working body is presented in the form of a rotating cylinder. The analysis of interaction of liquids in the process of emulsion formation is made. The mutual influence of liquid layers is considered. The estimation of internal and external parameters characterizing the process of emulsion formation is obtained. The study given in the article will help in the preparation of engineering methods for calculating the operating and design parameters of devices.

Keywords: absorber, emulsion layer, viscosity, density, emulsion, surface contact area, energy dissipation, immiscible liquids, rotating cylinder, liquid

The article deals with the issues of dispersion of heterogeneous liquids by spray nozzles in order to divide them into components. The influence of various parameters on the size of the droplets obtained is investigated. For the mathematical description the probabilistic approach is applied, which allows to obtain a differential function of the particle size distribution, which can form the basis of the engineering method of calculation of this class of separators. An expression for determining the average value of the angular velocity of the internal flow is compiled. These dependences allow us to calculate the most probable value of the angular velocity corresponding to the decay of complex drops into secondary ones, which are the drops of the initial liquids.

Keywords: particle, emulsion, non-uniform liquid, droplets, jet, nozzle, velocity, flow, parameter, separator

This paper presents two methods of computer simulation (quantum chemical analysis and molecular dynamics) of the interaction of additives with the iron surface. Quantum chemical interaction of silicate and phosphate additives with iron surface was carried out. The plate model was used for quantum chemical analysis, calculations were carried out in the DFT approximation. The method of molecular dynamics is based on the calculation of the evolution of the system of interacting particles of atoms and molecules by integrating the equations of their motion. It is shown that the oxidation of the surface leads to a decrease in the adhesion energy of both individual additives and their combinations, allowing to find the influencing factors on the behavior of tribosystems.

Keywords: lubricant, method, quantum chemical analysis, molecular dynamics, tribology, friction, computer simulation