Keywords: pantograph catenary system, high speed pantograph, upper arm, load spectrum distribution, diffusion kernel density estimation method, non-parametric fitting.

The service status of the pantograph is highly correlated with the operation status of high-speed trains, which affects the current collection quality, operational safety, and reliability of the pantograph catenary system. Currently, most of research of pantograph catenary system is focused on the interaction rather than the structures. Based on existing failure cases of pantograph, this study takes upper arm of pantograph as the object, and takes time-domain load data as the matrix to study the load spectrum distribution fitting method based on non-parameter method. Firstly, a rigid-flexible hybrid pantograph and catenary coupling model is established for dynamics simulation, and the upper arm load data is obtained. Based on the rain flow counting method, the time-domain data is transformed into statistics data with amplitude and mean. Then, based on the diffusion kernel density estimation method, the amplitude distribution is fitted, and the fitting results of the Gaussian kernel density estimation method are compared. Finally, the accuracy of the model is verified by goodness of fit tests, the result indicates that the diffusion kernel density estimation method can well fit the load spectrum of the upper arm which can provide guidance for fatigue reliability design of pantographs.

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