J. Oscarsson et T. Dahlberg, DYNAMIC TRAIN TRACK/BALLAST INTERACTION - COMPUTER-MODELS AND FULL-SCALE EXPERIMENTS/, Vehicle System Dynamics, 29, 1998, pp. 73-84
A numerical method has been developed by which the vertical dynamic be
haviour of a railway track subjected to the loading of a moving train
may be investigated. The interacting train and track are both modelled
as dynamic systems and the compound train/track system is treated as
a whole. In the track model, the rail is treated as a Rayleigh-Timoshe
nko beam discretely supported, via railpads, by rigid sleepers. Below
each sleeper, a rigid mass accounts for the mass of the ballast and th
ose parts of the subgrade that participate in the vibration. The rigid
mass is connected to the adjacent masses, to the foundation and to th
e sleeper by linear springs and viscous dampers. The mass, stiffness a
nd damping of these track components and also the sleeper spacings can
be arbitrarily varied. The contact between the wheelsets and the rail
is modelled by non-linear Hertzian spring elements. The model permits
calculation of deflections, accelerations and forces in various track
components, and also enables engineers to investigate how parameters
such as train speed, axle load, bogie wheelbase, rail corrugations, wh
eel flats and so on influence the track and vehicle components. To ver
ify the computational method, two full-scale measurement programmes we
re carried out on the Swedish West Coast Line in 1993 and 1995. Track
parameters are determined by use of measured frequency response functi
ons. Measured and calculated frequency response functions show accepta
ble agreement. Variations in measured parameter values are discussed.