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The article discusses the possibility of determining the specific fuel consumption of diesel locomotives in operation using indirect calculation methods based on the use of these locomotive onboard systems and supplementing them with mathematical models of the operating cycle and the model for determining the composition of the exhaust gases of a diesel engine. The basic equations and algorithms proposed for the implementation of such a method of mathematical models and the results of their use are presented, the results of a comparison of simulation results and experimental data on the specific consumption of fuel of diesel locomotives TEM18DM are presented. A possible algorithm for their joint use is proposed, conclusions are made on the possible development of such a method for determining the energy efficiency of diesel locomotives without taking them out of service.

The article contains information about policy public corporation «RZD» in energy-saving and energy efficiency. Assessment of energy efficiency of application back-to-back method in testing induction tractive motors was executed as an example on modeling testing process of motors type NTA-1200.

In article presented the mathematical model of fuel heating of the high pressure pipeline of diesel engines fuel equipment and calculation results of temperature of its external surface at various temperatures air and the fuel equipment technical conditions.

A theoretical and practical study of gondola cars equipped with various models of trucks: 18-100 and 18-9810. Compiled design scheme, system of differential equations and bringing its solution for different types of trucks. The analysis of the solutions of this system are found depending on the amplitude of the pitching and bouncing speed carriage movement. Found dynamic forces on the one spring group. Based on the comparison of the two bogies conclusions about the benefits of truck 18-9810.

In the article the paper considers mathematical modeling of fuel equipment of high pressure and regulator of the rotation frequency of the crankshaft of the diesel engine. Analysis of factors affecting fuel equipment, mathematical modelling of the process of fuel into the cylinders, as well as mathematically describes the speed control of the crankshaft of the diesel diesel engine. Joint mathematical model of fuel equipment and rotation speed regulator. Presented algorithm and program calculation process the fuel feed to the cylinders of a diesel engine with a light hydraulic characteristics of generalized elements of fuel equipment and provision of the Executive mechanism of the regulator of the rotation frequency of the crankshaft of the diesel engine. In the work used mathematical and simulation, system analysis methods, the comparative method, methods of theoretical knowledge (formalisation), common logical methods and techniques of research (analysis, synthesis, classification, analogy ).

A study of the influence of non-linear parameters spring of a freight car suspension (stiffness spring, length base of a bogie, roughnesses railway) on the amplitude and phase fluctuations bouncing body is completed. Defined own vibrational frequency jumps car body as a function of the parameters.

The influence of parameters of the spring suspension of freight wagon and axial load on its dynamic qualities and traffic safety. Showing the flaws of the standard three-piece bogie, influencing the dynamics and traffic safety. Investigated the horizontal dynamics of the of freight vechicle and the value of horizontal stiffness of spring suspension bogie for unoaden vechicle .

In article there are fluid flow mathematical models at the UV-sterilizer with concentric pipes installed in modernized water supply system of passenger car allowing to determine the velocity field of the rotational velocity component and assess the degree of attenuation depending on the chamber disinfection geometry, the inlet pressure in the water system, and fluid properties. There are exact solutions of the Navier-Stokes equations for a rotating fluid between fixed cylinder of infinite length and limited fictitious determined rotating lids provided Poiseuille axisymmetric flow. The decision explicitly contains the product of cylindrical Bessel functions and hyperbolic functions.

The subject of the study were made of the injection and combustion in diesel locomotives and ships, which are the most difficult to analyze, operate and forecasting facility management (processes in the cylinder of a diesel engine), where the conversion of thermal energy released during the combustion of fuel into mechanical work takes place through a series of successive physico-chemical, thermal, mass transfer and thermodynamic transformations which together constitute the circular irreversible and unlocked the duty cycle. However, the direct study of the operating cycle is still difficult complexity of the totality of the factors influencing the course of the process as a whole. The aim of the work was to establish an empirical connection laws fuel supply and combustion process in diesel cylinder it, ie the creation of methods of calculating these processes together. One approach to establishing formal relations and the possibility of subsequent numerical modeling of combustion processes and communication of the law the fuel in a diesel engine is the use of the theory of automatic control, which developed methods of identification, taking into account the processes of management system in the form of a model of a cybernetic system. It is concluded that the numerous experimental and computational studies suggest that the dynamics of the fuel significantly affects the combustion process in a diesel engine, and, consequently, its power and economic performance. Then to establish a formal link (model) combustion processes and the law the fuel used machine control theory (TAU), which uses and develops methods for the identification, considering processes management system in the form of a cybernetic circuit. Assumed that the full range of processes in the combustion chamber since the start of the fuel supply to the end of its combustion is a complex dynamic system of self-governing. The formulation was based on statistical methods for solving the problem of identification, where the input variable and its response (the law of supply and indicator diagram - experimental curves) are stationary random functions, and object management (combustion) is classified as a one-dimensional linear lumped. As a criterion of proximity to the object used criterion of the minimum of the expectation of a given function of the difference of the input signals and the object model. It is noted that there is currently no accurate method for calculating the finished analytically binding processes fuel supply, mixture formation and combustion in a diesel engine. Therefore, there is not yet calculated optimum injection characteristics suitable for the calculation and simulation processes in diesel engines of various types. It was found that, other things being equal, the law determined by the rate of injection of fuel injected. Striving to achieve injection with increasing speed in order to reduce the cycle dynamics, as well as more efficient use of the air charge in a distant "corners" of the combustion chamber (the latter portion of fuel, with a maximum speed to penetrate into the remotest corners). It is shown that in most cases it is necessary for the administration of the mathematical description of establishing the relationship between input and output variables, based on which can be worked out such a control object, which would ensure achievement of the intended target operation of the facility. With regard to the solution of a specific problem the most common case is when and exposure and response will be functions of the same argument. Thus, determining the experimental data of the conditional expectation of the output variable with respect to the input, we obtain the optimal (in the sense of the criterion of minimum mean square deviation) Estimates of the object. Given the accepted method of identification and characteristics of the problem, the best operator in the class of linear operators, and not among all possible random variables. This study was based on the principle of superposition, which is performed for a linear operator. Using the hypothesis that the investigated signals have the property of ergodicity with respect to the correlation functions. The adoption of the hypothesis of ergodicity possible to determine the correlation functions centered on the realization of a random process, ie, combustion process, as successive cycles. Noted that most fully identifiable objects are described in terms of the state space. Under the state of the object understood set of values, fully define its position at any given time. Proposed a model of the considered dynamic objects to choose a system of differential equations. In view of the above, the proposed approximation algorithm to determine the dynamic characteristics of the combustion process, ie, the agent object in the class of linear operators, which was presented as a system of differential equations representing the desired mathematical model.

In article the way increases in system effectiveness of cooling locomotives in operation - use relaunches of heat carriers between contours is considered.

In article on the basis of the analysis of design undercarriage locomotives of new generation built the design scheme and formed their mathematical model of the vertical dynamics. Using already known techniques simplify the mathematical models derived a mathematical model of the vertical dynamics of the conditional «uniaxial» locomotive of the new generation and the calculations of the dynamic and traction qualities of the train crew with parameters passenger locomotive EP2K.

A kinematical system of the test bench for experimental investigations of the frequency asynchronous driving gear is consider. Description of the kinematical system and mathematical model on the assumption of back-to-back is produces. As well as example of construction of the mechanical data family on basis of experimental data taking into account of the inner loss in the system is produces. Dynamical model of the asynchronous motor and results of the modeling in matlab simulink is produces.

The article suggests that the reason for the increased wear of the tires of electric locomotives with an asynchronous traction drive is the increased sliding speed in the contact of the wheels with the rails. It is shown that in thrust modes with high sliding speeds, frictional self-oscillations can develop in the drive. The stability zones of the drive are constructed in the space of its parameters. The model of an asynchronous drive with a «jammed rotor» for the study of skidding modes has been substantiated. It is recommended to install a clutch control system (СCS) on the electric locomotive to reduce wear on wheels and rails. СCS intelligent sensors create an additional feedback channel for the system of optimal traction control - the implementation of maximum traction forces with minimal friction losses. The methods and recommendations presented in the article are applicable to various designs of traction drives.

In article stages realization of complex systems non-contact thermal control of the main knots and systems locomotives are considered. The developed techniques of an assessment technical conditions sections refrigerators, electrical machines and the fuel equipment of a high pressure locomotives with use thermovision control method are presented.

The article describes a mathematical model of electro-mechanical devices wear contact pairs current collection of electric transport in conditions as close to real operating conditions. Synthesis of models made in two directions: model the mechanical load and model of electric current flow in sliding contact. The mathematical model also allows to take into account the thermal processes oc-curring in sliding contact by passing an electric current through a sliding contact. Are compared the results of calculations and experimental studies of wear of contact pairs of different materials. Experimental studies were performed on a dedicated test bench installation created in Omsk State Transport University. Relative error between calculation and experiment is not more than 6 %.

A mathematical model describing the dynamics of mechanical oscillatory systems «rolling stock train -railway track» in the vertical longitudinal plane of symmetry. Is equivalent to converting the design scheme. Linearization of nonlinear characteristics in ways. A model of the «generalized» track to assess the existing shock pulses from the joints of rails.

The mathematical model of traction drive Electric locomotive EP20 for research of dynamic processes in a mode of boxing is constructed. The natural frequencies and coefficients of the forms of the dynamic system are determined. The stability of the drive in relation to frictional self-oscillations is estimated. Dynamic loads in the drive elements at a single angular speed of wheel slip are calculated. The recommendations on increasing the dynamic qualities of the traction drive in the sliding mode are formulated.

The analysis of the influence of operating modes and the development of the residual life, expressed through thermal wear of the insulation of the asynchronous traction motor. The research subject is to obtain new patterns of change in the residual life of the stator winding insulation, which make it possible to determine the specific life of the winding for each mode of the asynchronous traction motor. The research aim is to create a system for determining and assessing the residual life by developing methods and technical means of monitoring and comprehensive diagnostics, as well as theoretical justification using the method for determining additional thermal wear of the stator winding insulation, taking into account the combined effect of the starting transient process, the long-term allowable load schedule and the maximum allowable temperature values. To determine and assess the possible residual life, the method of sequential influence of starting transients, maximum permissible load curves, as well as long-term overloads at the maximum permissible temperature, taking place under various operating factors during the movement of electric rolling stock, was used. The expediency of determining the function of uneven resource development, which has a monotonic character and is approximated by a linear double exponential and exponential functions, is shown. Specific proportionality coefficients are experimentally determined, which characterize the decrease in the dielectric strength of the insulation with sequential alternation of maximum and long-term permissible loads and maximum permissible temperature values, followed by obtaining an analytical relationship that predetermines the insulation resource. It is shown that the determination and assessment of the residual resource under typical modes practically makes it possible to clarify the timing of preventive measures and predict the expected duration of accident-free operation and forestall the premature failure of the asynchronous traction motor.

Rational way to improve the operational efficiency of the locomotive is adjustable power.The implementation of this method possible with the use of automatic power regulation implementing the optimal load,the operation mode of the traction and energy unit (TEU) of the locomotive. The aim of this work is to obtain mathematical relationships,establishing the optimal ratio between the number of employees of TD given thrust and speed. Determination of the optimal ratio being in the traction motors is based on finding the minimum power losses at the nodes of the TEU. Search the minimum of complex functions is an optimization problem,which from a mathematical point of view is to determine the minimum of function of several variables with a number of constraints,and relationships. To solve the problem of finding the minimum of a complex function,we used the method of indeterminate Lagrange multipliers. The optimization process is considered at a constant value of the voltage supplied to the TD and sold power.Variables - the force of traction,speed of movement,the ratio of incremental losses,the resistance of the circuit of the armature of TD was assumed constant,which allowed to simplify the solution of the problem,reducing it to find three unknown quantities - current,the number of TD and magnetic flux. The solution to this system of equations for the number TD,participating in the work were obtained analytical dependences the optimum values of the TD depending on the speed,the thrust force on the rim of the driving wheels of the locomotive and tension. Analytical expressions for determining optimal parameters of power regulation of electric DC,allow to obtain the optimal values of the number of workers so and the load depending on the given values of thrust and speed in the entire range of load modes of EPS. The analytical expressions can be used when drawing up regime maps and energy performance certificates EPS,and also in the most important automatic devices of power control of the rolling stock to set the optimal ratio of number of employees and so on.

In this paper the authors propose to consider the peculiarities of making mathematical models of rolling stock and its dynamic behavior when driving on irregular resilience railway line in the longitudinal direction. We present a qualitative and empirical analyzes of longitudinal resilience railway railway. In conclusion, given the conclusion, on the basis of its proposed further consideration of mathematical aspects of the above solutions of systems of differential equations of motion of the rolling stock on irregular resilience way.

The article sets out the methodology of the study of a rigid mathematical model describing locomotive wheel and rail interaction, taking into account the hypothesis f. Carter. On the basis of the application of the theorem N.A. Tikhonova derived the differential equation for determining the rate of slippage of wheel pair on Rails. Determine the time dependence for the establishment of a process of kinematic slippage of wheel pair on Rails from the wheel speeds and locomotive, from inertial characteristics of trains and the wheel, as well as the coefficient of creep, annexed to the torque of wheel pair and the State of the surfaces of the Rails.

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.

Work collector-brush assembly largely affects the operational reliability of the DC traction motors. The article presents results of the simulation of contact interaction «brush-collector» in the 2ES6 electric locomotive traction motors. Reviewed influence of the design features of the brush holder, conditions and modes of operation on the quality of switching traction motors. On the basis of theoretical and experimental studies offered recommendations to improve the quality of contact «brush-collector» and to ensure the operational reliability of the traction motors.

The article presents the results of the study of the influence of deviations of certain design parameters of bogie from established normative values on a relative offset from the crests of wheel pair in mezhdurelsovom space of railway transport. Such deviations occur in the process of the gradual wear of moving parts in real-world conditions of rolling stock and lead to a change of kinematic parameters of bogie. An analysis of dependence of lateral displacement relative to the wheelset of railway track from the difference between the diameters of the tapered surfaces of wheelset, skating from lack of alignment of wheelsets and difference coefficients rigidity of springs of bogie. The proposed mathematical model allows to not only diagnose technical condition of wagon bogies during their movements on the straight section of railway track, but also forecast the rolling stock maintenance dates the whole on the basis of position measurements of wheel pairs regarding railway track.