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Application of the differential quadrature method to free vibration of viscoelastic thin plate with linear thickness variation

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Abstract

The differential quadrature method has been applied to investigate vibrations of viscoelastic thin plate with variable thickness. Firstly, the governing equations are derived in terms of the thin-plate theory and the two-dimensional viscoelastic differential constitutive relation. Then, the convergence of the method is demonstrated based on the differential equation of uniform thickness elastic square plate, which is reduced from the differential equation of viscoelastic plate with varying thickness. Lastly, the effects of aspect ratio, thickness ratio and dimensionless delay time on the vibrations of the linear thickness viscoelastic plate with different boundary conditions have been studied.

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Authors and Affiliations

  1. School of Instrument Science & Opto-electronics Engineering, Beijing University of Aeronautics & Astronautics, Beijing, 100191, China

    Yin Feng Zhou

  2. School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an, 710048, China

    Zhong Min Wang

Authors
  1. Yin Feng Zhou
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  2. Zhong Min Wang
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Correspondence to Yin Feng Zhou.

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Zhou, Y.F., Wang, Z.M. Application of the differential quadrature method to free vibration of viscoelastic thin plate with linear thickness variation. Meccanica 49, 2817–2828 (2014). https://doi.org/10.1007/s11012-014-0043-6

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  • DOI: https://doi.org/10.1007/s11012-014-0043-6

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