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 a speed exceeding 160 km/h. The disturbances occurring
in the track are presented in the form of the realization of a stochastic
process, illustrating the change of the track gauge. The presented method can
be used to study both nonlinear models with random disturbances of mechanical
and electrical systems. The definition of stability makes it possible to verify
Lyapunov's stability for a nonlinear system and with track disturbances. A
nonlinear mathematical model of a passenger carriage was subjected to an STS
test by means of motion perturbations resulting from changes in the track gauge
and wheelset motion in a 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 STS approach was used to determine the region of stable motion in
the Lyapunov sense. To ascertain the wheelset transverse motion trajectory,
simulations were run. For a single-point contact, the likelihood of discovering
the wheelset in the stable motion region with respect to the rail was
calculated. This is actually the wheel's only point of contact with the rail.
The research findings are offered based on the conducted study.
Author(s) Details
Jerzy
Kisilowski
47A Macedonska Street, 02-761 Warsaw, Poland.
Elzbieta
Kowalik-Adamczyk
Transport and Mechatronics School Complex, 26-110 Skarzysko -
Kamienna, Poland.
Please
see the book here:- https://doi.org/10.9734/bpi/caert/v6/579
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