Sensitivity Analysis of Flexible Upper Frame of Pantograph with a Novel Simplified Method

Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


Optimization design for pantograph-catenary system is of great significance to keep the good current collecting quality. As the main parameters of pantograph’s upper frame, stiffness and damping need to be well designed, especially in the high speed operation condition. Based on the relative coordinate theory in multibody dynamics, this paper proposed a new simplified method to simulate the flexible characteristic of the upper frame in pantograph-catenary interaction. In this method the upper frame is divided into several segments, which are articulated with torsion springs. The flexibility change of the upper frame is described by the key parameter variation of these torsion springs. In the pantograph-catenary coupling system, finite element method (FEM) is applied to establish the model of catenary, Hertz contact theory is adopted and the standard deviation (STD) of the contact force is used as an evaluation index. Sensitivity of the upper frame’s flexibility to current collecting quality is given, which will effectively support for the structural design and material selection of the upper frame of pantograph adapting to different train operation speeds.


Pantograph-catenary dynamics Upper frame flexibility Parameters optimization Relative coordinate theory 


  1. 1.
    Bruni, S., Bucca, G., Carnevale, M., et al.: Pantograph–catenary interaction: recent achievements and future research challenges. Int. J. Rail Transp. 6(2), 57–82 (2018)CrossRefGoogle Scholar
  2. 2.
    Zhang, W.H., Zou, D., Tan, M.Y., et al.: Review of pantograph and catenary interaction. Front. Mech. Eng. 13(2), 311–322 (2018)CrossRefGoogle Scholar
  3. 3.
    Zhou, N., Zhang, W.H.: Investigation on dynamic performance and parameter optimization design of pantograph and catenary system. Finite Elem. Anal. Des. 47(3), 288–295 (2011)CrossRefGoogle Scholar
  4. 4.
    Lee, J.H., Kim, Y.G., Paik, J.S., et al.: Performance evaluation and design optimization using differential evolutionary algorithm of the pantograph for the high-speed train. J. Mech. Sci. Technol. 26(10), 3253–3260 (2012)CrossRefGoogle Scholar
  5. 5.
    Ambrósio, J., Pombo, J., Pereira, M.: Optimization of high-speed railway pantographs for improving pantograph-catenary contact. Theor. Appl. Mech. Lett. 3(1), 013006 (2013)CrossRefGoogle Scholar
  6. 6.
    Wu, T.X., Brennan, M.J.: Dynamic stiffness of a railway overhead wire system and its effect on pantograph–catenary system dynamics. J. Sound Vib. 219(3), 483–502 (1999)CrossRefGoogle Scholar
  7. 7.
    Lopez-Garcia, O., Carnicero, A., Marono, J.L.: Influence of stiffness and contact modelling on catenary–pantograph system dynamics. J. Sound Vib. 299(4–5), 806–821 (2007)CrossRefGoogle Scholar
  8. 8.
    Park, T.J., Han, C.S., Jang, J.H.: Dynamic sensitivity analysis for the pantograph of a high-speed rail vehicle. J. Sound Vib. 266(2), 235–260 (2003)CrossRefGoogle Scholar
  9. 9.
    Kim, J.W., Chae, H.C., Park, B.S., et al.: State sensitivity analysis of the pantograph system for a high-speed rail vehicle considering span length and static uplift force. J. Sound Vib. 303(3–5), 405–427 (2007)CrossRefGoogle Scholar
  10. 10.
    Pombo, J., Ambrósio, J., Pereira, M.: Influence of pantograph components on the contact quality of the overhead system for high speed trains. In: 10th International Conference on Computational Structures Technology. Civil-Comp Press (2010)Google Scholar
  11. 11.
    Wang, J.W., Mei, G.M., Li, R.P., et al.: Dynamic load research of key components of pantograph in pantograph-catenary interaction. J. China Railw. Soc. 40(3), 68–75 (2018)Google Scholar
  12. 12.
    Van, O.V., Massat, J.P., Balmes, E.: Waves, modes and properties with a major impact on dynamic pantograph-catenary interaction. J. Sound Vib. 402, 51–69 (2017)CrossRefGoogle Scholar
  13. 13.
    Ambrósio, J., Rauter, F., Pombo, J., Pereira, M.S.: A flexible multibody pantograph model for the analysis of the catenary–pantograph contact. In: Arczewski, K., Blajer, W., Fraczek, J., Wojtyra, M. (eds.) Multibody Dynamics. Computational Methods in Applied Sciences, vol. 23, pp. 1–27. Springer, Dordrecht (2011)CrossRefGoogle Scholar
  14. 14.
    Guo, J., Li, C.H., Dai, G.C.: Dynamic simulation of two links flexible manipulator. J. Astronaut. 27(5), 1044–1047 (2006)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Southwest Jiaotong UniversityChengduChina

Personalised recommendations