Abstract
This article presents a definition of stochastic technical stability that was applied to test a mathematical model of a passenger railroad car crossing a turnout with the speed exceeding 160 km/h. Stability defined in this way allows testing of Lyapunov’s stability with disturbances from the track and for a nonlinear system. The STS test of a nonlinear mathematical model of a passenger car was carried out by perturbing the motion of the mathematical model with irregularities originating from the track gauge change and wheelset motion in the direction transverse to the track axis. The main aim of this paper was to determine the influence of various factors and technical conditions on the assessment of the stability of various means of transport. The analysis presented can be used to assess the dynamics of electric vehicles, whose mechanical parameters differ from those of combustion vehicles at present. The area of stable motion in the Lyapunov sense was defined using the STS method. Simulations were performed to determine the trajectory of the wheelset transverse motion. The probability of finding the wheelset in the stable motion area in relation to the rail for a single-point contact was determined. In practice, this is a one-point contact of the wheel with the rail. Conclusions from the conducted research are presented.
Highlights
Faculty of Transport, Electrical Engineering and Computer Science, University of Technology and Humanities, Citation: Kisilowski, J.; Abstract: This article presents a definition of stochastic technical stability that was applied to test a mathematical model of a passenger railroad car crossing a turnout with the speed exceeding
This paper presents the definition of the stochastic technical stability (STS) used to study a mathematical model of a passenger car moving at speeds higher than 160 km/h
The main elements of the real structure, which have a direct influence on the dynamics of movement were taken into account in the model, but the elements of auxiliary equipment were omitted, taking into account the masses and moments of inertia, which the omitted elements introduce in reality
Summary
Faculty of Transport, Electrical Engineering and Computer Science, University of Technology and Humanities, Citation: Kisilowski, J.; Abstract: This article presents a definition of stochastic technical stability that was applied to test a mathematical model of a passenger railroad car crossing a turnout with the speed exceeding. The use of Lyapunov stability is undertaken using stochastic technical stability (STS) [35] This method makes it possible to test the stability in the Lyapunov sense of a nonlinear system with random disturbances and to relate the results to a real object. Such a study makes it possible to undertake the determination of wheel and rail wear processes and issues of an energetic nature of a traction rail vehicle. Disturbances in track stiffness and track irregularities in the area of the needle and crossbuck cause a change in the parameters of the contact ellipses. The normal force changes, which cause a change in the contact area of the wheel with the rail, were modelled according to the linear Kalker theory
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