## Abstract

The large deflection theory is employed to derive the equations of motion of the Timoshenko beam due to the coupling effect of an external force with the weight of the beam. Galerkin's method is employed to obtain the dynamic responses of the beam. A set of two discrete moving forces is taken as an example to investigate the characteristics of these responses. Results show that the effect of weight of the beam decreases the fundamental period of the structure. Further, both the dynamic deflection and the dynamic moment of the beam predicated by the theory including the effect of weight of the beam are less than those of the beam predicated either by the small deflection theory or by the large deflection theory without including the effect of weight of the beam.

Original language | English |
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Pages (from-to) | 117-131 |

Number of pages | 15 |

Journal | Journal of Sound and Vibration |

Volume | 218 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1998 Nov 19 |

## All Science Journal Classification (ASJC) codes

- Condensed Matter Physics
- Mechanics of Materials
- Acoustics and Ultrasonics
- Mechanical Engineering