Coupled systems mechanics

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Resonance of a rectangular plate influenced by sequential moving masses

  • Hassanabadi, Mohsen Ebrahimzadeh (Department of Structural Engineering, Building and Housing Research Center (BHRC)) ;
  • Attari, Nader K.A. (Department of Structural Engineering, Building and Housing Research Center (BHRC)) ;
  • Nikkhoo, Ali (Department of Civil Engineering, University of Science and Culture) ;
  • Mariani, Stefano (Department of Civil and Environmental Engineering, Politecnico di Milano)
  • Received : 2015.08.19
  • Accepted : 2016.03.05
  • Published : 2016.03.25
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Abstract

In this work, an improved semi-analytical technique is adopted to track the dynamic response of thin rectangular plates excited by sequential traveling masses. This technique exploits a so-called indirect definition of inertial interaction between the moving masses and the plate and leads to a reduction, in the equations of motion, of the number of time-varying coefficients linked to the changing position of the masses. By employing this optimized method, the resonance of the plate can be obtained according to a parametric study of relevant maximum dynamic amplification factor. For the case of evenly spaced, equal masses travelling along a straight line, the resonance velocity of the masses themselves is also approximately predicted via a fast methodology based on the fundamental frequency of the system only.

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References

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