### Abstract

The response of rails to moving loads has been a topic of interest for over a century. A related issue, the critical velocity of moving loads is an important matter related to track design. Analytically, in undamped environment, downward as well as upward displacements tend to infinity when the load is moving over an infinite rail at the critical velocity. However, the classical formula predicts such a critical velocity significantly overestimated than the one experienced in reality, indicating that the formula should be revised. In this contribution the dynamic equilibrium of the soil in the vertical direction is implemented to obtain two frequency dependent parameters incorporating the geometric damping and the soil mass inertia activated by induced vibrations. The new approach is tested on finite and infinite beams. Corrections to the classical formula are proposed.

Original language | English |
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Title of host publication | 11th World Congress on Computational Mechanics (WCCM 2014), 5th European Conference on Computational Mechanics (ECCM 2014) and 6th European Conference on Computational Fluid Dynamics (ECFD 2014) |

Editors | E. Onate, X. Oliver, A. Huerta |

Place of Publication | Barcelona, Spain |

Publisher | International Center for Numerical Methods in Engineering |

Pages | 119-129 |

Number of pages | 11 |

Volume | II-IV |

ISBN (Print) | 978-849428447-2 |

Publication status | Published - 1 Jul 2014 |

Event | 11th World Congress on Computational Mechanics (WCCM) / 5th European Conference on Computational Mechanics (ECCM) / 6th European Conference on Computational Fluid Dynamics (ECFD) - Barcelona, Spain Duration: 20 Jul 2014 → 25 Jul 2014 |

### Conference

Conference | 11th World Congress on Computational Mechanics (WCCM) / 5th European Conference on Computational Mechanics (ECCM) / 6th European Conference on Computational Fluid Dynamics (ECFD) |
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Country | Spain |

City | Barcelona |

Period | 20/07/14 → 25/07/14 |

### Keywords

- Uniformly moving load
- Critical velocity
- Dynamic stiffness
- Geometrical damping
- Frequency-dependent foundation moduli

## Cite this

*11th World Congress on Computational Mechanics (WCCM 2014), 5th European Conference on Computational Mechanics (ECCM 2014) and 6th European Conference on Computational Fluid Dynamics (ECFD 2014)*(Vol. II-IV, pp. 119-129). International Center for Numerical Methods in Engineering.