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Volume 41 Issue 5
May  2015
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Journal of Beijing University of Aeronautics and Astronautics  > 2015  >  41(5): 841-846.
LIU Xiangyao, NIE Hong, WEI Xiaohuiet al. Vibration model for multi-span beam with arbitrary complex boundary conditions[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(5): 841-846. doi: 10.13700/j.bh.1001-5965.2014.0315(in Chinese)
Citation: LIU Xiangyao, NIE Hong, WEI Xiaohuiet al. Vibration model for multi-span beam with arbitrary complex boundary conditions[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(5): 841-846. doi: 10.13700/j.bh.1001-5965.2014.0315(in Chinese)
shu

Vibration model for multi-span beam with arbitrary complex boundary conditions

doi: 10.13700/j.bh.1001-5965.2014.0315

  • State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

  • Received Date: 03 Jun 2014
  • Rev Recd Date: 05 Sep 2014
  • Publish Date: 20 May 2015
    Abstract
  • The transverse free vibration equations for Timoshenko beam were derived. Based on these equations, the vibration model for a multi-span beam with arbitrary complex boundary conditions was given by the transfer matrix method. Without considering the shear deformation and moment of inertia of the neutral axis, the model was simplified as the analogous model for Bernoulli-Euler beam. Three simplified models of some engineering significance were given. They are the free vibration model for a two-span beam, a cantilever with a lumped mass, and a beam with arbitrary lumped masses and translational springs. A comparison between the frequency equations derived by the three simplified models and those by the previous studies shows good consistency of the two, and it is thus concluded that the model developed in this paper is reasonable and feasible.

     

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