Nonlinear modelling of high-speed catenary based on analytical expressions of cable and truss elements

Yang Song, Zhigang Liu, Hongrui Wang, Xiaobing Lu, Jing Zhang

Research output: Contribution to journalArticlepeer-review

69 Citations (Scopus)


Due to the intrinsic nonlinear characteristics and complex structure of the high-speed catenary system, a modelling method is proposed based on the analytical expressions of nonlinear cable and truss elements. The calculation procedure for solving the initial equilibrium state is proposed based on the Newton-Raphson iteration method. The deformed configuration of the catenary system as well as the initial length of each wire can be calculated. Its accuracy and validity of computing the initial equilibrium state are verified by comparison with the separate model method, absolute nodal coordinate formulation and other methods in the previous literatures. Then, the proposed model is combined with a lumped pantograph model and a dynamic simulation procedure is proposed. The accuracy is guaranteed by the multiple iterative calculations in each time step. The dynamic performance of the proposed model is validated by comparison with EN 50318, the results of the finite element method software and SIEMENS simulation report, respectively. At last, the influence of the catenary design parameters (such as the reserved sag and pre-tension) on the dynamic performance is preliminarily analysed by using the proposed model.

Original languageEnglish
Pages (from-to)1455-1479
Number of pages25
JournalVehicle System Dynamics
Issue number10
Early online date12 Jun 2015
Publication statusPublished - 12 Jun 2015
Externally publishedYes


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