Theoretical modeling and analysis of dropper stress for high-speed railways

The catenary system is the power source of high-speed trains and it contains critical components such as droppers and messenger wires. During train operation, the messenger wire vibrates in conjunction with the catenary. In order to obtain a more realistic vibration performance of the droppers, it is necessary to consider the vibration of the messenger wire. In this paper, the vibration equation of the messenger wire is first derived and solved, and the obtained solution is used as the boundary