The algorithm of construction of reflections from the screens of complex shape. Geometric modeling based on the proposed algorithm makes it possible to conduct a rapid assessment of the distances between the fire building complex geometry, and between the process equipment, which is characterized by heat. Analytical dependences describing the process of building reflections, software algorithms and examples of calculations.

Keywords: geometric modeling, geometrical optics, geometrical acoustics, the laws of reflection

The article deals with the calculation and justification of fire distances (gaps) between the buildings in built up areas on the basis of the model. The automated system can be run in automated preparation of design documentation AutoCAD programming language Visual C + +, the technology ObjectARX.

Keywords: fire breaks, modeling, system AutoCAD, ObjectARX technology

The problem of a radial compressive stress in the sample to assess their impact on the parameters of these stresses pressing indentors

Keywords: Diagnostics, resource efficiency, mechanical properties, strength, ductility, hardness, toughness, nondestructive testing, destructive

We consider the problem of pressing a conical indenter in pre-compressed radial force elastoplastic medium. The influence of the initial stresses on the parameters of the indentation.

Keywords: Diagnostics, resource efficiency, mechanical properties, strength, ductility, hardness, toughness, nondestructive testing, destructive

Contract organization of project finance allow to reduce the asymmetric information, limiting the possibility of opportunistic actions of each participant. The back-to-back principle, that is underlying for contractual arrangements, increases total project return and provides transfer and split of highest possible number of risks directly to the contractual counterparty, which is best suited and have the most appropriate instruments to cover this risks. Tripartite deeds of project financing can be considered as a cooperative non-zero sum game, which provides compensation in proportion to covered risk and member's contribution (extent of assumed obligations or provided funds). Multiple contracts of project finance initiatives allow to allocate risks pro rata the ability of participants, without reducing the amount of final win of all parties.

Keywords: project finance, project financing risks, asymmetric information, agency theory, contractual arrangements, back-to-back principle, concession agreement, purchaser contract, tripartite deed, game theory

It was investigated the influence several additives and process parameters on the properties of piezoelectric ceramics based on PZT phase systems. It was shown that the use of the substitution of Pb2+ ions on the Bi3+, and Ti4+ ions, and Zr4+ to Fe3+ and Mn4+, as well as the method of "chemical assembly «allows to obtain increase the Curie temperature of ceramic samples of 50 - 170°C. The theoretical aspects of this area of research have been discussed in this article.

Keywords: ferroelectric phase, Curie temperature, ceramics, precursors, perovskite, a solid-state method, a method of «chemical assemblage

The analytical method determination parameters of the three-parametrical Waybill distribution for final volume population on the basis received parameters on a sample is stated in this work The algorithm of calculation on which computing experiment is made is presented. On the basis of these calculations the conclusion that it is necessary to determine by this analytical method parameters of the three-parametrical law of Waybill for set of final volume on the basis of the received parameters on a sample is drawn.

Keywords: population of final volume, sample, dispersion, an average quadratic deviation, distribution parameters, durability became

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Optimization an arrow no-failure operation probability for set fatigue resource of an arrow as base detail of the shovel excavator is important economic task.
Optimum value of no-failure operation probability can be received as a result of consideration of various options of manufacturing of an arrow of the excavator.
Thus at no-failure operation probability Р=0,999 for 20 thousand hours, optimum option is the arrow design from steel 15ХСНД with wall thickness 12 mm.

Keywords: optimization, resource, arrow, shovel excavator

The paper proposes a method for calculating the gamma - percentage fatigue life boom shovel for a set of finite volume, using the analytical method of determining the parameters of the Weibull law. 
Conducted a computational experiment showed that the method allows to obtain gamma percentage fatigue life boom shovel through the transition from sample data to aggregate data. 
Keywords: resource boom, excavator, aggregate, Weibull.

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In article results of experiences on studying of aerodynamics of a polydisperse suspension of conversion lime carbonate are resulted. The equations for calculation of speeds and concentration of lime carbonate on length of a tube-dryer are received. The obtained data can be used at designing of industrial dryers.

Keywords: Conversion lime carbonate, drying, tube-dryer, aerodynamics.

In the article we research application of culmiferous waste products of in the capacity of fractionated culmiferous litter on poultry plants at the low-ground content animal. For definition of optimal parameters of processing the initial culmiferous material exposed machining by a microwave radiation and was researched on micro and nano level for revealing qualitative changes of a structural surface.

Keywords: culmiferous bedding, microwave radiation, structural surface, the energy of the microwaves, capillary condensation, "pin" structure, scanning probe microscope.

In this paper the mathematical and software design automation systems maintenance program wireless devices used in various industrial processes. Mathematical Software CAD presented analysis algorithms process operation and maintenance (MOT) wireless devices, and also includes methods of optimization theory to determine the primary regulated parameters, frequency THAT. Software automation system has a modular structure and contains a package of applications and graphical user interface. Software package implements the project procedures of analysis and synthesis. CAD allows in automatic mode to simulate the process of operation and the device and evaluate the recommended value of rational frequency of maintenance.
Keywords: algorithm design automation, maintenance intervals, a wireless device, optimization.

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The mathematical model formalizes the solution of a problem of optimum control and it is meaningful to minimization of number of regional extremist system (bandit underground) taking into account relative importance of parts making it at the restrictions caused by "will" of the state to fight against extremism and objective dynamics of number of groups of extremists, an ethnosociocultural protestnost defined by factors (protest potential of society). The task was solved by means of imitating modeling on a method of scenarios.

Keywords: Mathematical model, method of scenarios, extremism, dynamics of number of groups of extremists, problem region, North Caucasus.

The mathematical model formalizes the solution of a problem of optimum control and  the minimization of regional extremist system’s number (bandit underground) is meaningful taking into account the relative importance of its parts with the restrictions caused by "will" of the state to fight against extremism and the objective dynamics of the extremist groups number, defined by the ethno-and-sociocultural protest potential factors. The problem was solved by means of imitating modeling basing on scenarios method. The results of scenery modeling of republican bandit underground dynamics are obtained depending on different variants of the power influence, in conjunction with different options of republican community development. The results of modeling calculations on fixing of a range of scenarios of quantitative dynamics of separate groups layers of a republican bandit underground are given. The identification of modeling parameters according to scenarios is executed and interpretation of the received results and practical recommendations on optimization of combating regional terrorist underground is presented.

Keywords: Mathematical model, scenery modeling, extremism, bandit underground, dynamics of number of groups layers of extremists, problem region, North Caucasus.