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Coupled Systems Mechanics
  Volume 5, Number 1, March 2016 , pages 87-100

Resonance of a rectangular plate influenced by sequential moving masses
Mohsen Ebrahimzadeh Hassanabadi, Nader K.A. Attari, Ali Nikkhoo and Stefano Mariani

    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.
Key Words
    thin rectangular plate; resonance; traveling masses; semi-analytical procedures; optimized method
Mohsen Ebrahimzadeh Hassanabadi and Nader K.A. Attari: Department of Structural Engineering, Building and Housing Research Center (BHRC), Tehran, Iran
Ali Nikkhoo: Department of Civil Engineering, University of Science and Culture, Tehran, Iran
Stefano Mariani: Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza L. da Vinci 32, 20133 - Milano, Italy

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