Abstract
Theoretical model is the base for the study of vehicle–track coupled dynamics problems. In this chapter, the principle and methodology for modeling of vehicle–track coupled systems are discussed at first. And then, three types of theoretical models are established: the vehicle–track vertically coupled dynamics model, the vehicle–track spatially coupled dynamics model, and the train–track spatially coupled dynamics model, in which typical passenger coaches, freight wagons, and locomotives as well as typical ballasted and ballastless tracks are included. A new dynamic wheel–rail coupling model is also established to connect the vehicle subsystem and track subsystem. Equations of motion of the vehicle and track subsystems are deduced and given in detail.
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