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Item The Advisability of Using Dual Gauge for Expansion of the International Traffic(Printing House “Technologija”, Kaunas, Lithuania, 2020) Kurhan, Mykola ; Kurhan, Dmytro ; Husak, Marina ; Hmelevska, NelyaENG: The possibilities of railway transport for the organization of transportation between the countries are not used to the full extent, since there are a number of technical reasons. The usage of dual gauge (1435/1520 mm) is one of the solutions. As an example of using dual gauge is the international project "Rail Baltica", Lviv railway and etc.Item Comparative Analysis of Calculation Results of Supporting Structure of Soil-Cement Piles(Kaunas University of Technology, Kaunas, 2019) Pshinko, Oleksandr M.; Petrenko, Volodymyr D.; Tiutkin, Oleksii L.; Andrieiev, Volodymyr S.; Hubar, Oleksіy V.; Ihnatenko, Dmytro Yu.; Markul, Ruslan V.ENG: Abstract. The article presents the results of comparison of the stress-strain state of 4 models of a retaining wall structure of soil-cement piles on a landslide-prone slope. This study compares the changes in the stress distribution and displacements in the model elements of the retaining structure of soil-cement piles depending on the design parameters and the method of piles location in the body of the soil mass. The comparison of models of supporting structures of soil-cement piles on a landslide-prone slope allowed obtaining: –the comparative analysis of the quality work of individual elements of the supporting structure for strength and deformation in a three-dimensional representation; –the comparative assessment of the performance of the supporting structure of soil-cement piles on a landslide-prone slope; – histograms of dependences of changes in the angle of piles inclination to the vertical axis of their holding force, strength and deformation of the slope;Item Computer Simulation of Dead-End Mine Working Ventilation(Dnipro National University of Railway Transport named after Academician V. Lazaryan, 2019) Biliaieva, Viktoriia V.; Kirichenko, Pavlo S.; Gunko, Olena Y.; Bondarenko, Iryna O.; Mashykhina, Polina B.; Yakubovska, Zinaida M.ENG: Purpose. The important problem in the field of ecological safety and industrial safety is providing of normal microclimate in dead-end mine working. In these regions of the mine methane gas can be accumulated and as a result explosion may take place. So, to avoid these accidents it is important to ventilate appropriately dead-end mine working. The purpose of the work is development of quick computing mathematical model to obtain information about dead-end mine working ventilation process. Methodology. The process of dead-end mine working ventilation computing is separated in two stages. At the first stage the velocity flow field is computed in the dead-end mine working. We consider the situation when the suction tube is situated in this region. To solve this problem the fluid dynamics model of inviscid gas flow was used. At the second stage of the computational modeling the convective-diffusive equation of admixture transfer was used. The equation takes into account non-uniform flow field in the dead end mine workings. Findings. The developed numerical model was coded using FORTRAN language. The developed computer code allows to perform numerical experiment to assess the efficiency of suction tube imple-mentation to decrease methane gas concentration in dead-end mine working. Originality. The developed numerical model takes into account physical factors, which are not considered nowadays in the empirical models, which are used for solving the problems of dead-end mine working ventilation. It allows taking into account the geometrical form of the dead-end mine working. Practical value. The developed computer program allows to perform calculations to assess the efficiency of suction system used for the ventilation of the dead-end mine working.Item Determination of Load for Quasi-Static Calculations of Railway Track Stress-Strain State(Széchenyi István University, Győr, Hungary, 2016) Kurhan, DmytroENG: When calculating the railway track stress-strain state one usually assumes that total strains are brought immediately from applied load and the process dynamics is taken into account by the respective levels of design force. The dynamic component of the design force depends on various factors that are not always taken into account to the full. The analytical analysis of the calculation methods and the experiment testing data resulted in the following recommendations: for freight trains, especially in the conditions of soft rail support, it is advisable to take into account the effect of adjacent wheels; for modern passenger cars there is no significant load dependence on speed, and the main factor of dynamic component is the track fluctuations.Item Development of Algorithm for Calculating Dynamic Processes of Railroad Track Deformability Work(РС ТЕСHNOLOGY СЕNTЕR, KHARKIV, 2016) Bondarenko, Iryna O.ENG: Thus, our research demonstrated the possibility of directed regulation of the process of deformability of a railroad track by changing the characteristics of materials and design of the elements of a railroad track.The algorithm presented complements the research on modeling for the purpose of establishing assessment of conditions of functional safety of a railroad track. Based on the developed algorithm, further studies may be conducted for determining the mechanical performance of elements of the track and the track design itself from the influence of the rolling stock for the purpose of evaluating and predicting the terms of operation of the elements and design of the track.Item Development of the Procedure for Verifying the Feasibility of Designing an Active Suspension System for Transport Carriages(НВП ПП «Технологічний Центр», Харьків, 2018) Ershova, N.; Bondarenko, Iryna O.; Shibko, O.; Velmagina, N.ENG: We have proposed techniques using which made it possible to solve a nonlinear algebraic Riccati equation for dynamic systems with degrees of freedom. A constraint was imposed on the structure of a designed railroad carriage. We employed, as an analogue, a symmetrical carriage whose suspension system contains elastic-dissipative links with linear characteristics. This allowed us to devise a procedure for designing a suspension system for a railroad carriage. The criterion when choosing the weight coefficients of quality was the requirement to ensure comfortable conditions for passengers and a locomotive crew. Therefore, the system must experience an oscillatory process with small amplitudes; the frequency of natural oscillations of the body should not exceed 2 Hz. We have performed decomposition of the dynamic programming method for continuous stochastic systems, which made it possible to develop a procedure for a phased suspension system design. The procedure is suitable for use when designing suspensions for carriages running at regular and high-speed speed. The first stage implies designing a passive suspension system. The second stage involves a validation of the feasibility of designing devices to control parameters of the elastic-dissipative links in a suspension system of transport carriages using the optimal Kalman-Bucy filters. The modeling proved that control over parameters of elastic-dissipative links improves the dynamics of transport carriages. Damping control alone could reduce the body's center of mass acceleration by more than two times and hence decrease dynamic loads in the system. The Kalman-Bucy algorithm makes it possible to obtain optimal parameters of the elastic-dissipative links in a suspension system in complex dynamic systems. The procedure could be used independently and as part of the technique for a phased design of the suspension system. The procedure was demonstrated using test examples. The procedure is implemented in the simulation system. Control over parameters of the elastic-dissipative links in a suspension system of transport carriages would make it possible, first, to create comfortable working conditions for a locomotive crew and passengers, second, to improve operation reliability and motion safety of rolling stock by reducing dynamic loads.Item Dynamic Track Irregularities Modeling when Studying Rolling Stock Dynamics(Kaunas Univ. of Technology, Lithuania, 2019) Bondarenko, Iryna O.; Lunys, O.; Neduzha, Larysa O.; Keršys, RobertasENG: Abstract The main purpose of this work is to study the process of transferring forces in the interaction of the rolling stock and the railway track in time. It was considered the wheel set movement on a straight track section without taking into account the rolling stock movements in the horizontal plane caused by the wheel conicity. And it was obtained the dynamic track irregularities depending on the rolling stock speed in the cross section of the railway track when a single force passes over it. Using the wave properties during the force propagation in the trackform elements is allowed to determine the time response of the elements to the force action. First, it allowed to take into account the influence of the state of the trackform elements on the work of the trackform itself and to obtain dynamic track irregularities that take into account both the length inhomogeneity and the depth anisotropy of the trackform. Secondly, it allowed to determine the change in strain in the trackform elements in time.Item The Effectiveness Evaluation of International Railway Transportation in the Direction of “Ukraine – European Union”(Kaunas University of Technology, 2018) Kurhan, Mykola ; Kurhan, DmytroENG: The paper presents results of a study concerning the development of railway transit traffic in international transport. It identifies problematic issues at the border crossing in the direction of "Ukraine–European Union" and ways to eliminate them. During the research methods of analysis and synthesis were used to study statistical materials and the main provisions of scientific papers about the state and prospects for the development of European and domestic systems of inter-national railway transportation. In order to predict the volume of international transportation, the experience of creating, operating and optimizing systems including international transport corridors, rolling stock and border station technology at the rail gauge joint of different standards (1435/1520 mm) are taken into account.Item Establishment of the Permissible Train Speed on the Curved Turnouts(Дніпропетровський національний університет залізничного транспорту імені академіка В. Лазаряна, Дніпропетровськ, 2016) Patlasov, Oleksandr M.; Tokariev, Serhii O.; Patlasov, Yevhen O.ENG: Purpose. Turnouts play a key role in the railway transportation process. One-sided and many-sided curved turnouts were railed over the last 20 years in difficult conditions (curved sections, yard necks). They have a number of geometric features, unlike the conventional one-sided turnouts. Today the normative documents prohibit laying such turnouts in curved track sections and only partially regulate the assessment procedure of their real condition. The question of establishment the permissible train speed within the curved turnouts is still open. In this regard, authors propose to set the train speed according to the driving comfort criterion using the results of field measurements of ordinates from the baseline for the particular curved turnout. Methodology. The article considers the criteria using which one can set the permissible speed on the turnouts. It defines the complexity of their application, advantages and disadvantages. Findings. The work analyzes the speed distribution along the length of the real curved turnout for the forward and lateral directions. It establishes the change rate values of unbalanced accelerations for the existing norms of the curved track sections maintenance according to the difference in the adjacent bend versine at speeds up to 160 km/h. Originality. A method for establishing the trains’ speed limit within the curved turnouts was developed. It takes into account the actual geometric position in the plan of forward and lateral turnout directions. This approach makes it possible to establish a barrier places in plan on the turnouts limiting the train speed. Practical value. The proposed method makes it possible to objectively assess and set the trains’ permissible speed on the basis of the ordinate measurement of the forward and lateral directions of the curved turnouts from the baseline using the driving comfort criteria. The method was tested using real turnouts, which are located within the Pridneprovsk Railway.Item Features of Perception of Loading Elements of the Railway Track at High Speeds of the Movement(Дніпропетровський національний університет залізничного транспорту імені академіка В. Лазаряна, Дніпропетровськ, 2015) Kurhan, DmytroEN: Purpose. Increase the train speeds movements requires not only the appropriate technical solutions, but also methodological-calculated. Most of the models and methodologies used for solving problems of stress-strain state of the railroad tracks, are based on assumptions and hypotheses adequate only for certain speeds. In the framework of this work will be discussed theoretical background of the changing nature of perceptual load elements of the railway track at high speeds and investigated the numeric parameters of the processes by means of mathematical modeling. As a practical purposes is expected to provide the levels of train speed, the boundaries of which can reasonably exclude the possibility of occurrence of the considered effects. Methodology. To achieve these objectives was used principal new model of railway track based on wave propagation theory stresses in the elastic system to study the impact of the movable load, take into account that the deflection in a particular section of the road starts even while the wheels at some distance, and moving the wheels farther from the selected section of the wave front elastic strain continues to spread. According to the results of simulations explores the changing shape of the wave front voltages in time for the foundation under the rail. If the train speeds substantially less than the velocity propagation of elastic waves, the wheel remains in the area implemented deformations. Findings. Alternative calculations for various parameters of the railway track (especially for different soil conditions) determined the levels of train speed, the boundaries of which can reasonably exclude the possibility of occurrence of the considered effects. Originality. The proposed theoretical study and implementation in the form of mathematical models for processes that occur in the perception of load elements of the railway track at high speeds. Practical value. According to simulation results obtained levels of speeds, which define the appearance of the considered dynamic effects in the base under the rail, can be used to justify path construction or establishment of appropriate values of allowable velocities for the implementation of traffic at high speeds.Item Features of the Nonlinear Calculation of the Stress-Strain State of the "Rock Massif–Excavation Support" System Taking into Account Destruction(Kaunas University of Technology, Kaunas, Lithuania, 2019) Shashenko, Oleksandr; Shapoval, Volodymyr; Khalymendyk, Oleksii; Andrieiev, Volodymyr S.; Arbuzov, Maxim; Hubar, Oleksіy V.; Markul, Ruslan V.ENG: The algorithm for estimating the reliability of the results of the calculation of the stress-strain state of the “rock massif-excavation support” system, taking into account the non-linear relationship between stresses and strains, as well as the destruction of the rock, is presented. In the course of a numerical experiment, it was shown that to determine the reliability of the calculation results, it is enough to find the relative error between the maximum efforts in the lining and then the extremum (more precisely, the maximum) of the “relative error – depth of the excavation center”.Item Forecasting of Passenger Traffic upon Implementation of High-Speed Running(Дніпропетровський національний університет залізничного транспорту імені академіка В. Лазаряна, Дніпро, 2017) Kurhan, Mykola ; Kurhan, DmytroENG: Purpose. Forecasting of passenger traffic flows in the future is an essential and integral part of the complex process of designing of high-speed network (HSN). HSN direction and its parameters are determined by the volume of passenger traffic, the estimated value of which depends on the economic performance of the country, as well as the material status of citizens living in HSN concentration area, transport mobility of population, development of competing modes of transport and so on. The purpose of this work is to analyse the existing methods of passenger traffic forecasting, to evaluate errors of the existing models concerning determination of traffic volumes and to specify the scientific approach to the development of high-speed rail transport in Ukraine. Methodology. The existing forecasting methods are reduced to the following ones: Delphi approach, extrapolation method, factor and correlation analysis, simulation method. The method described in this paper is based on scientific approaches such as analysis – a comprehensive and detailed study of various aspects of the known forecasting methods, comparing of existing methods for establishing differences and similarities, as well as deduction – use of general knowledge to get the new particular one. Thus, the unified indicators determined for the country as a whole, such as gross domestic product, national income, total population and others cannot be used to forecast the traffic flow on specific areas of HSN construction. Therefore, it is necessary to move from the overall forecast to traffic volume forecast on particular direction. Findings. The conclusions are derived from the analysis of different approaches and methods of passenger flow forecasting. It is proposed to create typical techniques of traffic flow forecasting using modern mathematical methods that would allow avoiding unreasonable decisions and shortening project development time. The resulting recommendations will help in the efficiency of design decisions, as well as will determine the quality of the project in whole and the feasibility of its implementation in particular. Originality. The scientific approaches to forecasting the passenger traffic volume in HSN agglomeration area were further developed. The HSN feasibility study criteria system was updated; this system takes into account passenger transit flows through Ukraine, the population of the cities covered by the high-speed network, mobility of population and other factors. Practical value. The data obtained by authors can be used to justify the concept of highspeed rail transport development in Ukraine, to create a high-speed network and to phase HSN construction.Item Formation of Estimated Conditions for Life Cycle of Deformation Work of the Railway Track(Дніпропетровський національний університет залізничного транспорту імені академіка В. Лазаряна, Дніпропетровськ, 2015) Bondarenko, Iryna O.ENG: Purpose. The purpose of this research is to substantiate the technical limits of the railway track (under reliability status) for the formation the regulatory framework for reliability and functional safety of the railway track in Ukraine. Methodology. In order to achieve the goal of research analysis methods of the technical states of elements and trackforms that are typical of operation conditions of the railways in Ukraine were used. Findings. Technical states accordance of elements and trackforms to reliability status under existing regulations was defined. These conditions are based on the track assessments in accordance with the dimensional tape results. The status of each element of the track design affects its deformation work, but the rules are still absent that would connect state of track elements with the state of the track by estimation of the dimensional tape. The reasons on which the limits are not set were established. It was found out which researches are necessary to conduct for their installation. Originality. The classification of the reliability state of a railway track for permitted deviation at the track laying and maintenance was developed. The regulation importance the technical states of ballast section and subgrade for the developed classification was established. Practical value. Ukrzaliznytsia (UZ) is a founding member of the Council for Railway Transport of the Commonwealth. This body issued interstate standard State Standard 32192-2013 «Reliability of railway equipment. Basic concepts, terms and definitions». On this basis developed a new interstate standard «Security functional of railway equipment. Terms and definitions». At the same time UZ is a member of the cooperation of railways in International Union of Railway Transport where rules with reliable and safe operation of railways are established in all transport branches. This study will help implement these standards on the railways of Ukraine, improve the efficiency of the information in this sphere, providing mutual understanding and unity of presentation and perception of information, including contractual legal relations of economic agents with public authorities in international scientific and technical, trade and economic relations.Item Impact of Cars with 25 TF/Axle Load on the Track Condition(Дніпровський національний університет залізничного транспорту ім. В. Лазаряна, Дніпро, 2019) Patlasov, Oleksandr M.; Fedorenko, Yelyzaveta M.EN: Purpose. The research is aimed at determining changes in the state of the geometrical parameters of the railway track, depending on the passing tonnage in dynamic interaction with the 25 tf/axle load rolling stock. Methodology. For data acquisition, the authors carried out a statistical analysis of the indicators of digital measure-ments of the track condition by KVL-P track-measuring cars. Using the program of calculating the meansquare deviation of the geometric parameters of the track, the deviation of the track parameters within the test sections was estimated. Findings. During the observation period it was found that on average the intensity of track strain accumulation increases. However, according to the results of the factor dispersion analysis with 0.95 probability, it is impossible to unequivocally state the impact of the factor of using the cars with an axial load of up to 25 tf/axle on the deterioration of the track condition parameters. Herewith it should be noted that the share of cargo carried in the cars with axial load of up to 25 tf/axle during the observation period was less than one per cent. According to the values of the meansquare deviation, the state of the geometrical parameters of the track and their predicted changes were estimated, which showed that the increased axial load will lead to decreased life of the rails, which are the most expensive elements of the track structure, shortened service life of the railroad switches and increased labor costs for workers involved in track repair and maintenance. The corresponding reduction of inter-repair periods, which corresponds to the standards, is projected. In order for heavy-duty wagons not to destroy the infrastructure, there must be at least two limitations: by the types of goods transported and by the speed of movement. Originality. The authors conducted a study to assess the impact of cars with 25 tf/axle load on the state of the geometric parameters of the railway track and proposed solutions to the issue of introducing the 25 tf/axle load rolling stock in Ukraine. Practical value. On the basis of the obtained results it is possible to estimate the impact of the axial load on the intensity of the track condition changes and to predict the reduction of inter-repair periods in connection with the track deterioration and in accordance with the train speed restriction.Item Impact of The Variable Stiffness Section on The Conditions of Track and Rolling Stock Interaction(IOP Publishing Ltd., 2020) Kurhan, Dmytro ; Kurhan, Mykola ; Husak, MarinaENG: Railway track stiffness is one of the main parameters that determine the track and rolling stock interaction. The inelasticity of the rail base may occur for two reasons: either as a consequence of the deteriorated condition of a track or due to the structural features of a section. As a rule, areas before bridges or tunnels are treated. Today, there are several options for relevant design solutions. The main purpose of this work is to determine the characteristics of a "railway track" object with which it can be represented in the rolling stock models in the simplest way possible but adequate for sections of transient stiffness. The railway track is introduced into the rolling stock model as a sequence of elements with which the wheels of the rolling stock interact. It is assumed that a single element in its characteristics must be equivalent to the track response when passing the wheel from one inter-sleeper section to the next one, that is, to reproduce a sequence that is cyclically repeated. Such a track element will be characterized by reduced mass, stiffness and dissipation factor.Item Improvement of The Railway Track Efficiency by Minimizing the Rail Wear in Curves(IOP Publishing Ltd., 2020) Kurhan, Mykola ; Kurhan, Dmytro ; Novik, R.; Baydak, Sergii; Hmelevska, NelyaENG: The article presents the analysis results for the parameters measurements of the rail track and the ratio between values of the vertical and side wears of rails in curves of different radii under different operating conditions. It is shown that the installed elevations of the outer rail do not meet the contemporary requirements in increasing the efficiency of the track while minimizing the rail wear. At the second stage of the research, various sections were examined by type of traction, technical equipment, plan parameters and the longitudinal profile. As an example, the results of calculations are presented in Lviv-Rava-Ruska section as a promising project that can ensure the integration of railway transport in Lviv-Warsaw direction. Analysis of the results obtained with the help of the software package – MoveRW and RWPlan programmes, allowed to determine such a combination of elevations of the outer rail in curves, so that trains of different categories realize the lowest values of cross unbalanced accelerations, which provide the minimum wear of rails in compliance with regulatory requirements for unbalanced acceleration, changing this acceleration in time, elevating speed of a wheel on the removal of the outer rail.Item Improving the Safety of Railway Subgrade When it is Strengthened Using Soil-Cement Elements(Dnipro National University of Railway Transport named after Academician V. Lazaryan, 2019) Krysan, Vitalii; Krysan, Volodymyr; Petrenko, Volodymyr D.; Tiutkin, Oleksii L.; Andrieiev, Volodymyr S.ENG: Abstract. The article identifies the main parameters of the drilling-mixing technology, which is the most effective in fixing weak soil bases during the construction and restoration of transport, industrial and civil structures. The difference of the technology developed by the authors is that the strengthening process is carried out at low pressure (0.15 ... 0.25 MPa). The relevance of the research is that the proposed technology requires less cost with high rates of restoring the strength of soil foundations. To prove the high quality of the technology, laboratory studies were carried out to determine the optimal characteristics of the soil-cement element, as well as the proportions and composition of the fixing solution. The dependences of the strength of soil-cement elements in the air-dry condition with cement content from 7% to 23% with water-cement ratio in solution 1 / 0.3 and with cement content from 13% to 37.5% with water-cement ratio in solution 1/0,6. During the experimental-industrial studies of the author's technology, the embankment was constructed with the soil-cement-reinforced elements for the access road approaches at one of the facilities in Kirovograd region, which ensured safety in the operation of a complex transport structure.Item Die Instandhaltung der Bettung(Železniční Dopravní Cesta 2011.VOŠ a SPŠ stavební, 2011) Sysyn, Mykola P.; Rybkin, Viktor V.; Nabochenko, Olga S.; Gerber, UlfDE: Bei der Auslegung der Gleiskonstruktion oder der Festlegung der Betriebsbelastung wird bei der ukrainischen Eisenbahn die Leistungsfähigkeit der Schotterschicht durch einen Vergleich der berechneten und zulässigen Spannungen im Schotter bestimmt. Die zulässigen Spannungen werden nach der jährlichen Verkehrsbelastung und den Fahrzeugtypen unterschieden und erreichen Werte im Bereich von 0,15 bis 0,5 MPa (ЦП117) [1]. Derzeit wird jedoch immer offensichtlicher, dass die Übertragung des Kriteriums der zulässigen Spannungen auf den Schotter analog zu den anderen Bestandteilen des Oberbaus zu unakzeptablen Ergebnissen fuhrt. Der Hauptgrund hierfür ist die unscharfe Grenze zwischen einem arbeitsfähigen und nicht arbeitsfähigen Schotterzustand, welcher im Verlaufe der Lebensdauer einer ständigen Veränderung unterzogen ist. Ein weiterer Grund ist die fehlende Berücksichtigung der Instandhaltung auf die Lebensdauer der Schotterschicht. Darüber hinaus gibt es eine Reihe weiterer Faktoren, ohne deren Kenntnis die Beurteilung der Leistungsfähigkeit des Schotters schwierig ist. Das Ziel der vorliegenden Untersuchung besteht in der Optimierung der zulässigen vertikalen Gleislagefehler zur Minimierung der Stopfintervalle und damit der Minimierung der Schotterkosten überhaupt. Dabei wird Anfangsqualität des Fahrweges berücksichtigt. Diese wiederum ist vom Ungleichförmigkeitsgrad des Unterbaus und der Verdichtungsqualität der Bettungsschicht abhängig.Item The Intensity of Rail Failure Flow(Dnipro National University of Railway Transport named after Academician V. Lazaryan, 2019) Patlasov, Oleksandr M.; Fedorenko, Yelizaveta M.EN: Abstract. The article reveals the quantitative changes in the intensity of failure accumulations in areas with gradual introduction of high axial loads. To obtain the actual values, the authors received threedimensional array of intensity of rail failure flow. According to the results of the research, it was discovered that the main cause of failure of the rails are the defects in the main contact-fatigue origin. The main factor that impacts the intensity of the rail failure flow is the number of transmitted tonnage. The size of the axial load and curvature of the line pours weight on this process. The proposed rail failure model is a model that can be used to optimize the track maintenance system. The authors conducted a study on the identification of quantitative changes in the intensity of accumulation of track failures in areas with high axial loads and evaluated their influence on the planning of repair and road works. On the basis of the obtained results it is possible to estimate the effect of the axial load on the intensity of changes in the state of the flow rail failure flows.Item Interaction Between Rolling Stock and Railway Track with of the Elastic Properties of the Base(Scientific Technical Union of Mechanical Engineering Industry, Sofia, Bulgaria, 2018) Myamlin, Sergey V.; Bondarenko, Iryna O.ENG: The main trend in considering the interaction of the railway track and the rolling stock is the studying of the parameters of the rigidity of the interaction. For the study, a model of the track design, described using the basic concepts of the theory of elasticity and the propagation of elastic waves was developed. The study of the peculiarities of the interaction of the rolling stock and the track, taking into account the elastic properties of the base, allows to expand the possibilities of solving the problems of ensuring their functionally safe operation with a certain level of operational efficiency.