Experimental researches on establishment of technical parameters of intermediate rail fastenings concerning maintenance of longitudinal stability of rail threads, establishment of technical parameters of intermediate rail fastenings on maintenance of longitudinal stability of rail threads are carried out. The researches of influence of technical characteristics of hardness at interaction of a rail and a wheel and their influence on the level of longitudinal forces of interaction between elements of a track and wheels of a rolling stock in operation on the railways of Ukraine are analyzed. After the start of operation of wheel pairs with the increased value of hardness the optimum ratio of hardness of rail and wheel steel was broken. It is known from various sources regarding the interaction of the rail and the wheel that metals with approximately same hardness show better wear resistance in the friction pair. Based on the obtained data, calculations were performed and their analysis was carried out with the development of recommendations for further operation.

For the preparation and during the execution of the work, experimental and theoretical studies were carried out on the influence of the state of the rolling surface profile of the wheelset on the level of interaction forces between the elements of the rail track and rolling stock in operation on the railways of Ukraine. Approaches to modeling the influence of the rolling surface profile of wheelsets on the stability of the wheelset movement and force interaction with the rail track were further developed. Experimental studies of the wear of the rolling surface of wheelsets of rolling stock were carried out, the intensity of their wear depending on the mileage of the locomotive was investigated. Studies of the influence of technical characteristics of hardness in the interaction of rail and wheel and their impact on the service life on the railways of Ukraine are analyzed. After the beginning of operation of wheelsets with increased hardness value, the optimal ratio of hardness of rail and wheel steel was violated. From various sources on the interaction of rails and wheels it is known that the best wear resistance in a friction pair is shown by metals with approximately the same hardness. Based on the data obtained, their analysis was carried out with the development of recommendations for further operation.

Experimental and theoretical researches of influence of a condition of a profile of asurface of rolling of a wheel pair on level of horizontal cross forces of interaction between elementsof a rail track and a rolling stock in operation on the railways of Ukraine are carried out. We havefurther developed approaches to modeling the effect of different types of fasteners on track stability,as the rigidity of the rail thread is directly related to the design of subrail supports and rail fasteners.The main task of experimental research was to establish the actual state of the elements ofintermediate fasteners and reinforced concrete sleepers, finding the maximum resistance of the railto longitudinal movement, which are provided by fasteners under different operating conditions.Experimental studies of the elastic characteristics of the horizontal longitudinal characteristics of therigidity of rail threads were performed, the studies were performed at different times of the year.Experimental studies of transverse deformations of rail threads on the head and sole of the rails madeit possible to determine the exact characteristics of the horizontal lateral stiffness of rail threads forrails type P65 with different types of fasteners. The main experimental studies were conducted on aseamless track within the main sections of the railway. The elements of the intermediate rail fasteningduring operation are subjected to constant dynamic impact in the process of which there are residualdeformations.Based on the obtained data, calculations were performed to determine the horizontal lateralmodulus of elasticity of the railway track, to determine the longitudinal and transverse stability ofrail threads depending on the type of fastening. The obtained experimental and theoretical resultsallow to evaluate the force interaction of the rail track with the rolling stock.