Abstract This paper develops a coupled dynamics model for a linear
induction motor (LIM) vehicle and a subway track to investigate
the influence of polygonal wheels of the vehicle on the dynamic
behavior of the system. In the model, the vehicle is modeled as a
multi-body system with 35 degrees of freedom. A Timoshenko beam is
used to model the rails which are discretely supported by
sleepers. The sleepers are modeled as rigid bodies with their
vertical, lateral, and rolling motions being considered. In order
to simulate the vehicle running along the track, a moving sleeper
support model is introduced to simulate the excitation by the
discrete sleeper supporters, in which the sleepers are assumed to
move backward at a constant speed that is the same as the train
speed. The Hertzian contact theory and the Shen--Hedrick--Elkins'
model are utilized to deal with the normal dynamic forces and the
tangential forces between wheels and rails, respectively. In order
to better characterize the linear metro system (LMS), Euler beam
theory based on modal superposition method is used to model LIM
and RP. The vertical electric magnetic force and the lateral
restoring force between the LIM and RP are also taken into
consideration. The former has gap-varying nonlinear
characteristics, whilst the latter is considered as a constant
restoring force of 1kN. The numerical analysis considers the
effect of the excitation due to polygonal wheels on the dynamic
behavior of the system at different wear stages, in which the used
data regarding the polygonal wear on the wheel tread are directly
measured at the subway site.
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