## Abstract

In this paper, the critical velocity of a uniformly moving load is analysed. It is assumed that the load is traversing an infinite beam supported by a finite depth foundation under plane strain condition. Analytical solution of the steady state deflection shape is derived. The critical velocity is then extracted by parametric analysis. Results obtained are compared with the previously published results of this author, where simplified plane models of the foundation were used. It is confirmed that there is an interaction between the beam and the foundation and thus the critical velocity is dependent on the mass ratio defined as the square root of the fraction of the foundation mass to the beam mass. For a low mass ratio, the critical velocity approaches the classical formula and for a higher mass ratio, it approaches the lowest wave-velocity of propagation in the foundation. There is only a small difference with respect to the previously published approximate formula for the critical velocity.

Original language | English |
---|---|

Title of host publication | Insights and Innovations in Structural Engineering, Mechanics and Computation - Proceedings of the 6th International Conference on Structural Engineering, Mechanics and Computation (SEMC 2016) |

Editors | A. Zingoni |

Publisher | CRC Press/Balkema |

Pages | 2134-2137 |

Number of pages | 4 |

ISBN (Print) | 978-113802927-9 |

Publication status | Published - 1 Jan 2016 |

Event | 6th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2016 - Cape Town, South Africa Duration: 5 Sep 2016 → 7 Sep 2016 |

### Conference

Conference | 6th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2016 |
---|---|

Country | South Africa |

City | Cape Town |

Period | 5/09/16 → 7/09/16 |

## Keywords

- Transverse vibration
- Critical velocity
- Active soil depth
- Visco-elastic foundation
- Hysteretic damping
- Moving load