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The paper is mathematical description, which allows to evaluate the properties of the system at the stage of theoretical development. A model of the anti-vibration suspension system with linear adjustment, which allows to study the dynamic characteristics of vibration isolation system threads compensation rigidity. The results of simulation program Matlab.

The purpose of this work is to determine the causes of cracks in the frame of traction motors of electric locomotives. An analysis of the statistics of detecting cracks in the frame of NB-514 traction motors at the Eastern testing area is presented, showing that every third frame in operation has cracks. The method of mathematical modeling on a computer with the use of FEM was used. It is noted that carrying out measurements in the crack initiation zone by the tensometric method is practically impossible due to the geometry of the frame. The results of mathematical modeling of mechanical stresses arising in the frame of the NB-514 traction motor during its uneven heating to temperatures characteristic of the hourly mode of operation of the traction motor are considered. It is shown that mechanical stresses arising only due to the temperature difference between the ambient air and the windings of the main and additional poles of the traction motor can reach 100 MPa. Variants of changing the design of the ventilation windows of the frame are proposed to reduce the magnitude of temperature stresses with a constant area of the ventilation openings. When correcting the shape of the ventilation windows of the traction motor frame, these voltages can be reduced to 76 MPa. It was concluded that one of the main reasons for the formation of cracks in the frame of traction motors are cyclically repeating temperature stresses, which is especially important for electric locomotives operating on mountain pass sections in the pushing mode. It is noted that the appearance of mechanical stresses in the backbone of the traction motor also depends on vibrations arising from the path and operation of the gear train, as well as on the variable part of the magnetic field of the motor, which are not currently studied in detail.

The article deals with theoretical and applied problems of ultrasonic cleaning of parts of rolling stock during the repair. Marked by features of ultrasonic influences in the bath with the limited sizes and the results of the simulation with the use of package Mathcad. Given the results of specific applications.

The results of mathematical modeling of the heating process of the wheel material during braking mode of the locomotive are presented in article. The results can be used to calculate the temperature change for any point of the wheel during the braking operation.

In this article the problems of efficiency of functioning of production systems of the locomotive repair enterprise are solved. In particular, the object of research is the technological processes of repair and maintenance of electric locomotives at the enterprises for repair of traction rolling stock. The article presents a mathematical description of the production process of such enterprises, on the example of the service locomotive depot «Moskovka». The mathematical model is described on the basis of queueing theory (QS) and Markov chains. A graph of the technological state of the locomotive during repair in the depot, where the process of transition of the repaired rolling stock from the state to the state, i.e. the relationship of technological movements of the electric locomotive on the territory of the depot, as well as the time of technological operations described transition matrix. The distribution of repair requests is described by the Poisson law, the delay of the electric locomotive in the depot areas in the planned types of repair in accordance with the accepted norm, and in the unplanned form of repair, the applications are delayed in accordance with the distribution of erlang. Based on the results of the mathematical description of the model of the production process of the repair enterprise, a simulation model of the operation of the Moskovka depot was created, implemented on a computer with the help of professional software of a new generation - AnyLogic. The paper describes the logic diagram of the simulation model, selected methods and modeling libraries. According to the results of the study, the overall assessment of technological performance indicators of the locomotive repair enterprise, in the conditions of probabilistic, dynamic changes in the repair task. By means of the methods of research of technological processes of depot «Moskovka» realized in article, it is possible to design any repair enterprises on repair of a rolling stock of the railroads, for the purpose of identification of «bottlenecks» of production process.

This article contains results of experimental studies on the formation of corrosion products as a result of aggressive environment and electric currents action on the reinforced concrete structures. There are discussed a method of creating models with artificial electrocorrosion under conditions close to real working. The results of testing models using the X-ray method and modeling their strength characteristics are presented.

The article presents a method of calculation of the thermal state of the pantograph head. The density of the suspension zigzag distribution, taking into account a number of assumptions, has replaced the contact wire position function in the plan. Results of calculating the temperature of the pantograph head at different width of the zigzag of the typical suspension, including zero, are presented. The influence of sinusoidal and tangential contact suspensions on the temperature distribution of the pantograph head is estimated.

The article describes the general principles of the computational model of the traction power supply DC Railway to assess the potential energy recuperative braking, as well as ways of approbation the resulting model to determine its adequacy.

The subject of the study is the theoretical and practical aspects of the application of optical technologies for non-contact measurements of geometric parameters of a wagon wheelset during operation and repair. The purpose of the study is to develop methods and technologies for monitoring geometric parameters of car parts using an optical linear scanner, as well as a method for processing the results of field tests of the results of the application of optical control technologies. The article analyzes the problems of application of standardized methods of technical condition monitoring using manual measuring and control tools in the context of the adopted technology of maintenance and operation of freight cars. As a result of the study, a review of the state of the issue of the use of optical control techniques on the railway was carried out, the strengths and weaknesses of various options for the implementation of measurement techniques were identified and a methodology and a computer program for automating the creation of a digital standard of the object under study (the profile of the longitudinal section of the rolling surface of the wheelset) were developed. Using a digital two-dimensional image of the shadow pattern of the wheel profile, the coordinates of the points of the contour line of the section of the volumetric wheel in the area of the rolling surface are calculated. To determine the coordinates of the envelope of the section, a step function is used, as close as possible to the chiaroscuro image of the wheel contour. After image processing, the result is output by the program in the form of a table with the calculated coordinates of the profile section and visualized using the wheel profile synthesized by coordinates in the program window. The accuracy of the technique used depends on the resolution of the image obtained by the linear scanner. The methodology and program can be used in the future for field tests of the designed equipment for dimensional control of car parts.

The article presents the results of modeling the force fields in the elements of the wheel-motor unit of the electric locomotive 2ES10. The mathematical model is obtained on the basis of the Lagrange equations of the ΙΙ kind. A design scheme for the study of the dynamic behavior of the wheel-motor unit is presented. Expressions for the deflection of the elastic elements of the traction motor suspension, elastic and dissipative forces are given. A method for determining the vector force field at the articulation site of the bracket and thrust suspension TEM is proposed.

The article presents an improved mathematical model of the thermal state of the pantograph head for calculating the temperature distribution when interacting with different catenary with a double contact wire. The model takes into account the unevenness of the pantograph contact pressure on the wires along the suspension span and between them, allows using the databases of the car-laboratory for testing the contact network, calculating the thermal conditions of the skid on various sections of electrified Railways, including transients between them. The paper presents graphs of the zigzag distribution density of the contact wire of the Moscow - Saint Petersburg high-speed line, and defines the transient and steady state thermal states of the pantograph head when the pantograph interacts with them.

The article deals with the question of methodology stop imitation modeling when using modern instruments of mental resources, which are, for example, was Wednesday MatLab. In particular, analysis of factors that determine the duration of the simulation for a given level of accuracy desired results.

A method to an assessment of influence on the expenditure of electrical energy for traction of trains, parameters of graphic time-table in the conditions of using the regenerative braking is being considered in the article. The retrieval of version with the minimal using of energy is based on the modeling of graphic time-table by different train-to-train intervals in the conditions of burst-mode access’ organization on the railway section. By results of modeling it is proposed to represent the derived dependence by changing of electrical energy’s expenditure on parameters of graphic time-table in the form of analytic function of several variables n-order forthe following using by normative plotting of movement for the purpose of curtailing electrical energy’s expenditure for traction on the trains.

The article analyzes the components of the energy efficiency of regenerative braking and the factors influencing the effectiveness of the use of regenerative braking and energy recovery. Methods of evaluating the energy efficiency of recovery and the results of experimental studies of the effectiveness of recovery. Achieved justification for the use of the method of simulation modeling as a method for evaluating the potential of regenerative braking. It shows the sequence of the work.

A mathematical model of thermal processes (dynamic) contact current collector with contact suspension (in motion), which allows to estimate the temperature distribution of heating the current collector during movement. The experimental evaluation of the proposed cooling device performance is given. The thermal model of the current collector in motion mode has been verified.

The work is devoted to the consideration of the possibility of using composite materials with an aluminum matrix in the design of electric transport pantographs. Currently, there is a tendency to increase the speeds of electric transport. This fact requires reliable and high-quality current collection, which can be achieved by reducing the mass of the current collector design, including through the use of composite materials. The possibility of using composite materials in parts and assemblies of current collectors operating under conditions of increased current loads and at high speeds of movement and the mechanical characteristics of the traditional ones used in the carriage design and the composite materials proposed for use are analyzed. The design of a carriage of high-speed electric rolling stock has been developed, in which an aluminum matrix composite material was used as a structural material. Statistical modeling using the finite element method in the SOLIDWORKS Simulation software package was performed. Comparison of the strength characteristics of carriage assemblies made of traditional materials and aluminum matrix composite showed the possibility of reducing their weight in the case of composite use without reducing the strength of structural elements. The static characteristic of the carriage in which the composite material was used coincides with the static characteristic of the carriage made of traditional materials, which confirms the possibility of using an aluminum matrix composite without making significant changes to the carriage design. To evaluate the dynamic characteristics of the composite carriage and its effect on the dynamic characteristics of the pantograph, modeling was carried out using the methods of multibody modeling of SOLIDWORKS Motion. The obtained simulation results indicate an improvement in dynamic characteristics when using composite materials, which has a beneficial effect on the reliability and quality of current collection.

Shotcrete lining is one of the most common types of temporary supports in tunnel construction. The influence of shotcrete lining on design calculations of permanent lining is difficult, because there is no method of designing at the present time. This leads to increasing in consumption of materials and labour of construction. The information about the influence of the basic mechanical properties of soils, geometrical size of construction per value of temporary shotcrete lining factor was obtained during research. These data formed the basis for futher development method of designing. Empirical correlations of stress distribution between temporary shotcrete lining and permanent monolithic reinforced concrete lining were obtained during theoretical research. Results of experimental research tensity of temporary shotcrete and permanent lining confirmed the possibility of using in the designing this empirical correlations. Using in the designing proposed empirical correlations will leads to reduction in consumption of materials and labour of construction.

The aim of the research presented in the article was to develop computer models for determining the electromagnetic fields (EMF) generated by three-phase 25 kV traction power supply systems (TPSS). In contrast to traditional single-phase TPSS, three-phase systems are electromagnetically balanced, provide symmetric loads of substations, increase voltages at current collectors of rolling stock, reduce asymmetry and non-sinusoidality in 110 - 220 kV supply networks. However, the issues of quantitative assessment of electromagnetic safety conditions in three-phase traction networks remain unstudied. To implement the formulated goal, we used the methods of modes and EMF simulation developed at the Irkutsk State University of Railway Transport, the distinctive feature of which is the use of phase coordinates; in this case, the models of TPSS elements are formed on the basis of lacelike equivalent networks. The simulation was carried out for three-phase TPSS schemes of different complexity, in which case the complex traction network was implemented by modifying the model of a real TPSS of one of the main railroads of Eastern Siberia. Simulation results indicated that compared to the typical TPSS 25 kV, the maximum electric field strength increases by 2.5 % in the three-phase system. The maximum value of the magnetic field strength decreases by 26 %. Similar indicators for average values are 2.6 and 19 %. The proposed methodology and the developed computer models can be used in the design of promising three-phase TPSS. In the conditions of power engineering digitization, the application of this technique in practice will allow to apply a scientifically validated approach to the analysis of electromagnetic safety conditions traction networks and to develop its improvement.

The algorithms and modeling program allowing estimating indicators of financial technological risk, based on a random process of dynamic risk.

The article deals with the issue of improving the energy efficiency of DC and AC electric locomotives operated at the enterprises of JSC “Russian Railways». The main goals and objectives of the development program and energy strategy of JSC «Russian Railways» are analyzed and briefly considered. In accordance with these tasks, the relevance of scientific research in the field of improving the energy efficiency of electric locomotives is substantiated. The current data on traction rolling stock, on modern traction resource management systems and on Russian and foreign scientific research in the field of energy efficiency are analyzed. As a result of the analysis, it was found that most of the studies are aimed at studying the influence of key operational factors on energy efficiency indicators, so, in this case, on the specific power consumption for train traction. However, the reverse question has been poorly studied - the selection of the train mass and the technical speed on the basis of a preliminary assessment of the specific power consumption for train traction by analyzing the statistical data of trips on a certain section of the railway. The purpose of this study is to assess the possibility and develop a method for determining the optimal values of the key parameters of the operation of electric freight locomotives in order to achieve maximum operational efficiency in relation to them according to the criterion of energy efficiency. Two models were created in the program «Complex of calculations of traction power supply» (CORTES) - for DC and AC electric locomotives, describing the dependence of the energy efficiency indicator (specific power consumption for train traction) on operational indicators, such as the train mass and the technical speed. The initial data for further modeling were obtained by modeling trips on a conditional site.

The operational reliability of the electrification and power supply system and the associated traffic safety is mainly determined by the technical condition of the contact network-an element that is extremely difficult to reserve in any way. The state of the contact network devices of the East Siberian railway is indirectly characterized by periods of electrification of sections. The equipment of the contact network, put into operation in the 1960s and 1970s, has developed its design life, does not have the required load capacity enough and reduces the reliability of the electrified section. The article shows that the purpose of improving the reliability of electrical equipment in the operation of power supply devices is to predict the state of its elements, in particular the metal supports of the contact network, as an object of study. Correctly assess the state and resource of the contact network devices will allow the use of the latest diagnostic systems by personnel in practice, using mathematical apparatus and modeling methods. It is shown that by monitoring various parameters characterizing the support, it is possible to detect a change in the technical condition of the object of study in time and to carry out maintenance in the period of time when there are deviations of parameters beyond unacceptable limits. The statistical data on the state of the support economy at the VSZHD are summarized, the main types of damage to metal support and supporting structures are given. It is shown that new types of damage to metal structures, not classified earlier, are revealed, that qualitative and quantitative assessment of the state of metal supports of the contact network, which have various structural damage is possible using methods, modeling, simulation and evaluation of the state of structures. FEMAP, an independent computer-aided design system from Siemens PLM, is used as an independent full-featured environment for modeling, simulation and evaluation of the results of the analysis of the characteristics of metal supports of the M6/10 model

The article outlines the principles of quantitative evaluation of information security from the viewpoint of the theory of games. Definitions of the game matrix and its quantitative interpretation. Offered practically implemented method of analysis, planning and design of information security based on the proposed models.

The necessity of searching for new methods to improve the dynamic rationalized properties of the traction drive, which does not create contradictions between the conclusions based on the results of numerical parametric analysis and the results of the analysis of nonparametric factors, is established. A modified base point method is proposed that takes into account the possible presence of areas of conservatism of a rational parameter and provides for a procedure for checking for conservatism. The search results using this method for a rational version of a traction drive with a support-frame suspension of an electric motor and a gear reducer coincide with the empirical choice of different manufacturers of locomotives.

The analysis of functioning of difficult transport systems is provided in article, the basic principles of use of simulation modeling in the organization of transportation process on railway transport are characterized. The method of creation of object-oriented model for the description of dynamics of interaction of cargo station and a way of uncommon use is considered.

The article presents results ofmodeling andfull-scaletesting of the devicefor remotediagnosisinsulatorscatenaryrailway transport. The maincauses ofbreakdownof insulators. Presents statistics offailurecatenaryinsulators. The plotof the contactnetwork is presentedin the form ofthe line modelwith distributed parameters. To create a virtual model of the device and the line was selected program Multisim 12.0. Described bya block diagramof the devicefor remote monitoringcatenaryinsulators. Shows theprinciple of operationof the deviceto control thecatenaryinsulators. Present a schemeof the experimentat the siteof contact networkOSTUlandfill. Parameters are calculatedareaof contact network. Chosenform ofdiagnosingpulsesto determine thepossible location ofthe faultyinsulator.