The stationary optimal control in combined discrete and continuous system

The paper discusses the problem of optimal design (stationary optimal control) for multi body dynamic system. The system includes a train and track superstructure interacting with a beam bridge. It is regarded that the speed of the train can reach 400 km/h. The problem of optimal stiffness distribution for continual subsystem - rail bed - is considered. The aim of the optimization is decreasing of irregularity of rail bed loading under constraint on minimal vertical wheel-rail contact force that prevents derailment.