Transient wave propagation analysis of a pantograph- catenary system

13th International Conference on Motion and Vibration Control; 12th International Conference on Recent Advances in Structural Dynamics

Nagao, Kyohei^1 ; Masuda, Arata^1

Department of Mechanical and System Engineering, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto, Japan^1

关键词: Governing equations;    Initial conditions;    Inverse Laplace transform;    Method of reverberation-ray matrix;    Pantograph catenary system;    Reverberation-ray matrix;    Temporal evolution;    Transient wave propagation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/744/1/012086/pdf
DOI  :  10.1088/1742-6596/744/1/012086

来源: IOP

【 摘 要 】

This paper proposes a systematic method to analyze the dynamic response of an overhead catenary with pantographs moving at constant speed. The overhead catenary is modeled as a onedimensional infinite-length string, which is periodically supported by hangers. On the other hand, the pantograph is a sub-structure moving at a constant speed, which is modeled as a lumped mass system contacting the catenary. In this study, the whole system is divided into elements in the manner of the transfer matrix method. Then, the relationship among traveling waves in every element is systematically obtained in the Laplace domain following the method of reverberation-ray matrix. Since the governing equation of the system changes periodically with time, the analysis of the temporal evolution of the system can be realized by repeating a single period analysis starting from the instant when the pantograph comes into a unit cell by means of the reverberation-ray matrix analysis followed by the inverse Laplace transform. When the pantograph reaches the opposite hanger, the whole elements are shifted backward, and the catenary response of the forehead element is used as the initial condition of the next period.