Analysis of vibration characteristics of the pantograph catenary system based on the theory of Timoshenko beam

This paper presents the development of vibration characteristics accounting for Timoshenko beam model and single axis hydraulic servo system model in the pantograph test table. In order to improve pantograph test table accuracy, which constitutes a large portion of the total pantograph test table dynamic accuracy during vibrating, pantograph test table elastic foundation as well as hydraulic natural frequency have to be characterized and modelled for vibration control. Based on Timoshenko beam theory besides assumed mode method, a vibration model of a Timoshenko beam subjected to a single axis vibrating table is established. By considering the table´s important factors influencing its natural frequency such as hydraulic system stiffness and elastic foundation, an expression for the dynamic model in the pantograph test table is developed. The developed mathematical model is used to calculate and analyze the vibration characteristics in the vibrating process.