, Volume 53, Issue 10, pp 2687–2703 | Cite as

Dynamic response of tank trains to random track irregularities

  • A. Nokhbatolfoghahai
  • M. A. Noorian
  • H. Haddadpour


This paper presents a dynamic analytical model for tank train vibrations. The train is considered as a system of 27 degrees of freedom consisting of lateral, roll, yaw, vertical, and pitch motions for the vehicle body and its two bogies and lateral, roll and vertical motions for the four wheel-sets. Liquid sloshing in the tank is modeled using an equivalent mechanical mass-spring model. Coupling between the vehicle system and the railway track is realized through the interaction forces between the train and the rail, where the vertical and lateral irregularity profiles of the track are regarded as stationary ergodic Gaussian random processes and simulated by polynomial functions. Random vibration theory is used to obtain the response power spectral densities. Finally, numerical results for a typical test case including natural frequencies of a coupled system, frequency response functions, and output power spectral densities are presented.


Tank train Random vibration Multi-DOF system Liquid sloshing Track irregularity 


Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  • A. Nokhbatolfoghahai
    • 1
  • M. A. Noorian
    • 2
  • H. Haddadpour
    • 1
  1. 1.Department of Aerospace EngineeringSharif University of TechnologyTehranIran
  2. 2.Faculty of Aerospace EngineeringK. N. Toosi University of TechnologyTehranIran

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