Browsing by Author "Nabochenko, Olga S."
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Item Common Crossing Structural Health Analysis with Track-Side Monitoring(EDIS, University of Zilina, Slovakia, 2019) Sysyn, Mykola P.; Nabochenko, Olga S.; Kluge, Franziska; Kovalchuk, Vitalii V.; Pentsak, AndriyEN: Track-side inertial measurements on common crossings are the object of the present study. The paper deals with the problem of mea- surement's interpretation for the estimation of the crossing structural health. The problem is manifested by the weak relation of measured acceleration components and impact lateral distribution to the lifecycle of common crossing rolling surface. The popular signal processing and machine learning methods are explored to solve the problem. The Hilbert-Huang Transform (HHT) method is used to extract the time-frequency features of acceleration components. The method is based on Ensemble Empirical Mode Decomposition (EEMD) that is advantageous to the conventional spectral analysis methods with higher frequency resolution and managing nonstationary nonlinear signals. Linear regression and Gaussian Process Regression are used to fuse the extracted features in one structural health (SH) indicator and study its relation to the crossing lifetime. The results have shown the significant relation of the derived with GPR indicator to the lifetime.Item The Complex Phenomenological Model for Prediction of Inhomogeneous Deformations of Railway Ballast Layer after Tamping Works(Warsaw University of Technology, Poland, 2018) Sysyn, Mykola P.; Gerber, Ulf; Kovalchuk, Vitalii V.; Nabochenko, Olga S.EN: The given article considers the method of calculating the track geometry deformation with respect to uneven accumulation of residual deformations along the track. The technique proposes two significant changes in existing approaches to calculating the efficiency of the ballast layer. The transition from the approach of allowable stresses design in the ballast layer to the deformative approach of accumulations of track geometry deformations allows us to draw conclusions regarding the intervals of track tamping and the duration of ballast layer life cycle. The transition from the determinative to probabilistic approaches makes it possible to draw conclusions not only from the average unevenness, but also with regard to all possible facts of unevenness. The method is based on the mechanism of sudden and gradual deformations occurrence, which depends on a number of key factors: dynamic stresses on the ballast, non-uniformity of track elasticity, performance of current maintenance work. Based on the experimental studies results, the dependencies of sudden deformations and the intensity of gradual deformations on the level of stress on the ballast layer were established. The experimental results of the influence of the sub-ballast base elasticity on the intensity of accumulation of residual deformations are shown. On the basis of the developed method, the prediction of track geometry deterioration for a given structure of the track, the rolling stock and the permissible level of geometric deviations for track maintenance is presented.Item Devising a Procedure for Assessing the Subgrade Compaction Degree Based on the Propagation Rate of Elastic Waves(РС Тесhnology Сеntеr, Kharkiv, Ukraine, 2021) Kovalchuk, Vitalii V.; Kravets, Ivan B.; Nabochenko, Olga S.; Onyshchenko, Artur; Fedorenko, Olexander; Pentsak, Andriy; Petrenko, Oleksiy V.; Hembara, NataliyaEN: This paper reports the analysis of the methods for estimating the technical condition of the subgrade underneath a constructed railroad track or road during its operation. The study results have proven that the issue related to monitoring and controlling high-quality compac-tion of a heterogeneous subgrade remains relevant and requires the construction of reliable experi-mental methods for assessing the subgrade degree of compaction.A procedure for determining the compaction of subgrade in the laboratory has been devised, based on inertial microcomputer technologies, which makes it pos-sible to assess the degree of com-paction of subgrade soils depend-ing on the propagation rate of an impact's elastic waves.An experimental study has been performed into the propaga-tion rate of elastic waves across a homogeneous subgrade made of coarse-grained sand and a hetero-geneous subgrade made of coarse sand with a layer of clay in the middle of the prism. The study results established that the propa-gation rate of an elastic wave in a heterogeneous subgrade accepts a lower value than the rate of wave propagation in a homogeneous subgrade.Through the dynamic inter-pretation, by using a discriminant statistical analysis, the character-istic features have been defined in the distribution of accelerations in the body of the homogeneous and heterogeneous subgrade, depend-ing on the degree of compaction, which would make it possible to monitor the state of the subgrade during operation. As the degree of the subgrade soil compaction affects the technical condition of roads.Item Evaluation of RailWay Ballast Layer Consolidation After Maintenance Works(Czech Technical University, Prague, 2019) Sysyn, Mykola P.; Nabochenko, Olga S.; Kovalchuk, Vitalii V.; Gerber, UlfEN: Abstract. The results of the study of the ballast layer consolidation after the work of ballast-tamping machines of different types are given in the article. The existing methods of determining the degree of consolidation of the ballast layer are analysed. The seismic method was improved by means of a complex dynamic and kinematic interpretation of the impulse response. For the dynamic interpretation with the use of statistical analysis, the features are selected so that they correspond to the degree of consolidation of the ballast layer. On the basis of researches, a device and software were developed that allow an automated evaluation of the ballast layer consolidation based on the kinematic and dynamic analysis of the measured impulse response. The measurements of the degree of the ballast layer consolidation after an operation of ballast-consolidation machines in different sequences allowed establishing the efficiency of the consolidation and the feasibility of the machines’ application.Item Experimental and Theoretical Evaluation of Side Tamping Method for Ballasted Railway Track Maintenance(Silesian University of Technology, 2020) Przybylowicz, Michal; Sysyn, Mykola P.; Kovalchuk, Vitalii V.; Nabochenko, Olga S.EN: Ballast layer is the most weak element of railway track that causes track geometry deterioration. At the same time, it is subjected to intensive particle breakage during the corrective tamping. This causes high maintenance costs of ballasted track. The present paper is devoted to the study of tamping methods. The present machine tamping methods are considered and compared. The possible influence of the tamping technology on the ballast-related maintenance costs is analyzed. The side tamping technology is studied in detail with theoretical and experimental methods. The process of material transport during the side tamping is studied using a scale model of ballast layer and photogrammetric measurements. A theoretical finite element model (FEM) is validated to the experimental results. The study shows that the side tamping is a promising method for the development of a universal, superstructure independent tamping technology.Item Experimental Investigation of The Dynamic Behavior of Railway Track with Sleeper Voids(Springer-Verlag, 2020) Sysyn, Mykola P.; Nabochenko, Olga S.; Kovalchuk, Vitalii V.EN: The deterioration of the sleeper support on the bal-lasted track begins with the accumulation of sleeper voids. Theincreased dynamic loading in the voided zone and the ballastcontact conditions cause the accelerated growth of the settle-ments in the voided zones, which results in the appearance oflocal instabilities like ballast breakdown, white spots, subgradedefects, etc. The recent detection and quantification of thesleeper voids with track-side and onboard monitoring can helpto avoid or delay the development of local instabilities. Thepresent paper is devoted to the study of the dynamic behavior ofrailway track with sleeper voids in the ballast breakdown zone.The result of the experimental track-side measurements of railacceleration and deflection is presented. The analysis shows theexistence of the dynamic impact during wheel entry in thevoided zone. However, the measured dynamic impact is sub-jected to the bias of the track-side measurement method. Boththe mechanism of the impact and the measurement aspects areexplained by using the one-beam model on viscoelastic foun-dation. The void features in the dynamic behavior are analyzedfor the purpose of track-side and onboard monitoring. A prac-tical method of the void parameter quantification is proposed.Item Experimental Investigation of the Influence of Train Velocity and Travel Direction on the Dynamic Behavior of Stiff Common Crossings(University of Niš, Serbia, 2019) Kovalchuk, Vitalii V.; Sysyn, Mykola P.; Gerber, Ulf; Nabochenko, Olga S.; Zarour, Jandab; Dehne, StefanEN: Abstract. Common crossing rails are subjected to a rapid deterioration of the rolling surface due to a dynamic loading of trains. The present study is devoted to an experimental study of the displacement and rail strain measurements in the common crossing. The experimental measurements were carried out for two stiff common crossings under the dynamic loading of high-speed train for the velocity range of 54-254 km/h. The results showed 2.5 times increase of the maximal displacements within the velocity range. The absence of the difference in the displacements between the trailing and the facing travel direction is explained with the relative displacement measurements between the rail and the sleeper and the different dynamic impact loading for the wing rail. The proposed model-based analysis of the absolute measurement of rail strain enables us to estimate the dynamic factor under the impact loading. The wing rail for trailing direction is almost twice as highly loaded as the frog rail for the facing direction. The maximal dynamic factor for the trailing direction shows almost no change for the velocities of more than 200 km/h.Item Experimental Study of Railway Ballast Consolidation Inhomogeneity under Vibration Loading(Akadémiai Kiadó, Hungary, 2020) Sysyn, Mykola P.; Kovalchuk, Vitalii V.; Gerber, Ulf; Nabochenko, Olga S.; Pentsak, Andriy Ya.EN: Railway ballast tamping is one of the cost-expensive renewal and maintenance works of railway superstructure. The quality of ballast consolidation influences its resistance to residual deformations and long-term deterioration of track geometry. The process of ballast compaction along the sleeper under the vibration loading is complex and depends on many factors. The ballast flow processes under the vibration loading can produce both consolidation and un-consolidation of ballast material. The present study is devoted to the experimental investigation of ballast consolidation inhomogeneity. The method of ballast local consolidation measurement is proposed. The method is based on the velocity of impact wave propagation that is measured with device. The application of modern microcontroller and sensor techniques provided simple and reliable multi-point velocity measurements in a ballast layer. That enables well enough spatial resolution of ballast consolidation inhomogeneity. The measurement analysis has shown more than 4 times higher consolidation under the sleeper center than for unconsolidated ballast.Item Experimental Study of Railway Trackred Pressure Distribution under Dynamic Loading(Riga Technical University, Latvia, 2019) Sysyn, Mykola P.; Kovalchuk, Vitalii V.; Nabochenko, Olga S.; Kovalchuk, Yuri; Voznyak, Oleg M.EN: Abstract. Reliable and durable operation of the railway track under the dynamic load of the rolling stock depends considerably on the ability of the ballast layer to get the load from the sleepers and distribute it to the subgrade. In this paper, the experimental study of the distribution properties of the ballast layer under the impact of dynamic loading depending on the density of the ballast layer is carried out. The ballast behaviour during load cycles is estimated by pressure measurements at the ballast prism base along the axis of a sleeper with simultaneous video observation of the ballast particles movement through transparent sidewalls of the box with crushed stone. Measurements of pressure distribution are carried out with the developed microcontroller system of measurements and developed load cells. The system allows performing multi-point measurements of stress in combination with measurements of acceleration and photogrammetry. The results of measurements showed a significant effect of the ballast layer consolidation on the distribution of stresses under the sleeper. The performed research opens up opportunities for practical improvement of the existing types of track structures and the technology of the ballast layer tamping in terms to provide the optimal conditions for the ballast layer operation.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 Investigating the Temperature Field Distribution Over Transport Structures’ Metal Corrugated Construction Surface under Temperature Influences(Széchenyi István University, Győr, Hungary, 2022) Kovalchuk, Vitalii V.; Kravets, Ivan B.; Nabochenko, Olga S.; Petrenko, Oleksiy V.; Milyanych, Andriy R.; Hermaniuk, Yuliia M.; Dzhus, Volodymyr S.ENG: The experimental studies results of temperature distribution over metal corrugated sheet structure surface at positive and negative ambient temperatures are presented. It is established that the temperature is distributed unevenly over the sheet surface along its plane. An analytical method for calculating the temperature field from a fragment of a structure metal sheet in the case of setting the temperature at the sheet area boundaries is presented. The calculation of the temperature field distribution on the metal sheet of the structure with the setting of the temperature along the contour of the sheet is performed. As a result, it is established that at the metal sheet boundaries there is a temperature difference, which can cause the occurrence of temperature stresses and deformations.Item Investigation of Interlocking Effect of Crushed Stone Ballast During Dynamic Loading(Regional Association for Security and crisis management, European centre for operational research, 2021) Sysyn, Mykola P.; Nabochenko, Olga S.; Kovalchuk, Vitalii V.; Przybylowicz, Michal; Fischer, SzabolcsENG: The present paper deals with the experimental investigation of interlocking effect of crushed stone ballast material, assessing it as the relationship with the residual and dynamic stresses under the ballast layer during laboratory dynamic tests with the consideration of different boundary conditions. The laboratory experiments were executed with a scaled model of ballast under the sleeper. The measured pressure at the bottom surface of the ballast has two parts: dynamic and residual. The dynamic part depends on the external loading; the residual part remains after unloading. The measured residual stress was observed up to 3 times higher than the stress due to cyclic external loading. The relationship of the residual stress and interlocking effect to ballast particles angularity is analyzed. A simple interpretation of the distribution of residual stress is proposed, that depends on the measured cyclic stress and the elasticity of bounding walls. The study of interlocking effect of ballast could be potentially useful for many practical problems of railway track design as well as for the track maintenance issues.Item Mechanism of Sleeper–Ballast Dynamic Impact and Residual Settlements Accumulation in Zones with Unsupported Sleepers(MDPI, 2021) Sysyn, Mykola; Przybylowicz, Michal; Nabochenko, Olga S.; Liu, JianxingEN: Unsupported sleepers or void zones in ballasted tracks are one of the most recent and frequent track failures. The void failures have the property of intensive development that, without timely maintenance measures, can cause the appearance of cost-expensive local instabilities such as subgrade damages. The reason for the intensive void development lies in the mechanics of the sleeper and ballast bed interaction. The particularity of the interaction is a dynamic impact that occurs due to void closure. Additionally, void zones cause inhomogeneous ballast pressure distribution between the void zone and fully supported neighbour zones. The present paper is devoted to studying the mechanism of the sleeper–ballast dynamic impact in the void zone. The results of experimental in situ measurements of rail deflections showed the significant impact accelerations in the zone even for lightweight slow vehicles. A simple three-beam numerical model of track and rolling stock interaction has shown dynamic interaction similar to the experimental measurements. Moreover, the model shows that the sleeper accelerations are more than 3 times higher than the corresponding wheel accelerations and the impact point appears before the wheel enters the impact point. The analysis of ballast loadings shows the specific impact behaviour in combination with the quasistatic part that is different for void and neighbour zones, which are characterised by high ballast pre-stressed conditions. The analysis of void size influence demonstrates that the maximal impact loadings and maximal wheel and sleeper accelerations appear at a certain void depth, after which the values decrease. The ballast quasistatic loading analysis indicates an increase of more than 2 times in the ballast loading in neighbour zones for long voids and almost full quasistatic unloading for short-length voids. However, the used imitation model cannot explain the nature of the dynamic impact. The mechanism of the void impact is clearly explained by the analytic solution using a simple clamped beam. A simplified analytical expression of the void impact velocity shows that it is linearly related to the wheel speed and loading. The comparison to the numerically simulated impact velocities shows a good agreement and the existence of the void depth with the maximal impact. An estimation of the long-term influences for the cases of normal sleeper loading, high ballast pre-stress and quasistatic loading in the neighbour zones and high impact inside the void is performed.Item Modelling and Vehicle Based Measurements of Ballast Settlements Under the Common Crossing(Universita degli Studi di Trieste, Italy, 2019) Sysyn, Mykola P.; Gerber, Ulf; Grue, Dimitri; Nabochenko, Olga S.; Kovalchuk, Vitalii V.EN: Abstract. Railway turnout is geometrically and physically inhomogeneous object of railway superstructure. The common crossing zone is the high degradation processes are taking place in the common wingrail are wearing with inhomogen is uniformly deformed that lead to appearing the void wave along the crossing axis. The two deterioration processes are interconnected and both influence the dynamic loading. The paper deals with research of both influences based on the mathematical vehicle based measurements. The ballast settleme compared with the settlements measured with axle the base for the following inertial diagnostic vehicle and track based investigations as well as pl maintenance works at common crossing.Item Multifractal Analysis of the Common Crossing Track-Side Measurements(Sciendo, Slovakia, 2019) Sysyn, Mykola P.; Izvolt, Libor; Nabochenko, Olga S.; Kovalchuk, Vitalii V.; Sestakova, Janka; Pentsak, AndriyEN: The deterioration common crossing elements increase the need for the maintenance of crossings and significantly reduce the reliability, availability and safety of railway traffic. The present paper introduces the results of experimental investigation of common crossing monitoring while its deterioration during the lifecycle of crossing. The conventional methods of common crossing condition estimation with time-based features like maximal accelerations, etc. are low appropriate as statistically significant condition indicators. The proposed multifractal analysis enables to extract the significant features from acceleration measurements. The extracted features are fused together with information about the train velocities and longitudinal position of wheels impact with the Lasso regularisation and multivariate linear regression. A ranking of feature importance is done and the redundant features are identified. The developed condition indicator has good correlation to the crossing lifetime and is simple for interpretation.Item Prediction of Rail Contact Fatigue on Crossings Using Image Processing and Machine Learning Methods(Springer Verlag, Germany, 2019) Sysyn, Mykola P.; Gerber, Ulf; Nabochenko, Olga S.; Gruen, Dmitri; Kluge, FranziskaEN: Abstract In this paper, an application of computer vision and machine learning algorithms for common crossing frog diagnostics is presented. The rolling surface fatigue of frogs along the crossing lifecycle is analysed. The research is based on information from high-resolution optical images of the frog rolling surface and images from magnetic particle inspection. Image processing methods are used to preprocess the images and to detect the feature set that corresponds to objects similar to surface cracks. Machine learning methods are used for the analysis of crack images from the beginning to the end of the crossing lifecycle. Statistically significant crack features and their combinations that depict the surface fatigue state are found. The research result consists of the early prediction of rail contact fatigue.Item Stability of the Railway Subgrade under Condition of Its Elements Damage and Severe Environment(Dnipro National University of Railway Transport named after Academician V. Lazaryan, 2019) Kovalchuk, Vitalii V.; Sysyn, Mykola P.; Nabochenko, Olga S.; Pentsak, Andrii Ya.; Voznyak, Oleg M.; Kinter, Stepan O.EN: Abstract. Investigation of damages of the subgrade slope in combination with its overwetting and rolling stock loading, which significantly affects safety traffic of the railway transport, has been carried out. The complex method of slope stability estimation of the subgrade is developed, which includes calculation of loads and vibration action of rolling stock on the main site of the subgrade, as well as the dynamic model of vibrations propagation in the body of the subgrade embankment and the model of plastic deformations accumulation. Dynamic and nonlinear plastic models are based on a finite-element model of the cross section of the subgrade. The plastic model takes into account the characteristics of soil strength of the subgrade, depending on the area of the vibration load impact. The developed method allows to carry out the estimation of external and internal factors impact on occurrence of subgrade destruction, which is of practical value for safety state estimation of the railway transport.Item Stiffness and Strength of Structural Layers from Cohesionless Material(Versita, Great Britain, 2019) Gerber, Ulf; Sysyn, Mykola P.; Zarour, Jandab; Nabochenko, Olga S.EN: The deformation modulus and permissible stress are two independent parameters that depict the carrying capacity of foundations, including earthworks and ballast layer. Nevertheless, while designing the track superstructure or controlling its state, they are considered separate to each other, even though they are terms of the same measure. The scientific problem is due to the practical necessity of unified building rules and standards. The carrying capacity of earthworks and foundations is regulated with standards based both on deformation and on stress criteria, which are not related to each other. This plays particularly important role for railway ballast layer, as an intermediate between the solids and soil. The objective of the present research is to estimate the relationship between deformation modulus and the strength of ballast layer. An overview of modern approaches according to the relation between the stiffness, deformation modulus, elasticity and strength of soils and crushed stone is done. The strength of ballast layer is considered depending on the experimental test: the direct shear test, compressive strength in the uniaxial or biaxial stress state. Load transfer model in crushed stone is proposed. The load transfer angle and cone of loading distribution are determined based on the load transfer and compressive strength models. The relation between deformation modulus and strength is derived from two simple laboratory experiments with cohesionless ballast material. The experiment tests have shown that the ballast stiffness as well as its strength are influenced with the support stress. The measurement of elastic and residual settlements for the different support stress values enables to determine the relation. It can be potentially used for the development of methods for the ballast compaction control, unification of construction norms. The research result should be considered as an approach for unification of two different ways to reflect the carrying capacity of ballast layer.Item Studying the Railroad Track Geometry Deterioration as a Result of an Uneven Subsidence of the Ballast Layer(НВП ПП «Технологічний Центр», Харьків, 2019) Nabochenko, Olga S.; Sysyn, Mykola P.; Kovalchuk, Vitalii V.; Kovalchuk, Yuri; Pentsak, Andrii Ya.; Braichenko, S.EN: A method for calculating impairment of the track geometry under influence of dynamic loads in the course of passing the track unevenness by the rolling stock was developed. The method takes into consideration interrelated short-term processes of dynamic interaction and long-term processes of subsidence of the ballast layer in a mutual influence on each other. Mathematical model of dynamic interaction of the track in the form of a planar three-layer continual beam system with a two-mass discrete system corresponding to the rolling stock is the basis of the first part of the method. This model makes it possible to simulate dynamic loads from individual sleepers to the ballast when the rolling stock passes geometric unevennesses and the track elasticity unevennesses.The second part of the method is based on the phenomenological mathematical model of accumulation of residual deformations formed using the results of laboratory studies of subsidence of individual sleepers in the ballast layer. Peculiarity of this model consists in taking into consideration not only uniform accumulation of residual subsidence from the passed tonnage but also presence of a plastic component of subsidence which depends on the maximum stresses in the history of ballast loading by each sleeper. A new theoretical mechanism of development of the track unevenness was proposed. It takes into consideration not only residual subsidences of the ballast layer but also appearance of gaps under sleepers resulting in a local change of the track elasticity. This mechanism enables taking into consideration the ambiguous influence of subsidences with occurrence of gaps under the sleepers. Subsidence causes an increase in dynamic loads on the track and the ballast layer on the one hand and onset of the gap causes a decrease in the track rigidity and corresponding reduction of dynamic loads on the other hand. Practical application of the developed method was demonstrated on an example of quantitative estimation of long-term uneven subsidences of the ballast layer when changing the sleeper diagram.Item Theoretical Study into Efficiency of the Improved Longitudinal Profile of Frogs at Railroad Switches(PC "Technology Center", Ukrainian State University of Railway Transport, Kharkov, 2018) Kovalchuk, Vitalii V.; Sysyn, Mykola P.; Sobolevska, Yuliia H.; Nabochenko, Olga S.; Parneta, Bohdan Z.; Pentsak, Andrii Ya.EN: We have developed a comprehensive method to prolong the time of operation of frogs at railroad switches, based on the consideration of a longitudinal profile of the frog, the magnitude of dynamic forces and normal stresses. We have improved a longitudinal profile of the frog, brand 1/11, project 1740, by the method of surfacing under field operation conditions. The slopes of a trajectory after the passage of an average statistical wheel over the proposed profile amount to 3.7 ‰ instead of 10 ‰ for a standard profile of the frog. It was established that increasing a load on the frog to 60 % at the expense of a deflection under the frog beam leads to the accelerated disarrangement of the frog, as a result of fatigue defects at the rolling surface, while the cost of frog operation in this case increases by five times. We modeled a dynamic interaction between the rolling stock and a standard, as well as the proposed, longitudinal profiles of frogs. Calculation of dynamic processes of the nonlinear interaction between the rolling stock and a standard profile of the frog and the profile restored by surfacing, showed that the magnitude of forces for the proposed frog at the motion speed of 150 km/h is 50 % lower compared with a standard longitudinal profile. At linear simulation of dynamic additions of forces, the magnitude of forces decreases for the proposed profile to 30 %. We employed a graphical method to calculate the magnitudes of axial inertia moments and the moments of resistance in the characteristic cross sections of the frog. The estimation of the stressed-strained state of the frog was performed using equations of five moments for a continuous beam on elastic point supports. It was established that stresses at the static calculation of the frog are low and are much less than the maximum permissible magnitude of stresses for a given grade of steel. Therefore, we can argue that the frog works under a load at the expense of existing reserve of strength.