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Meccanica

, Volume 49, Issue 12, pp 2817–2828 | Cite as

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

  • Yin Feng Zhou
  • Zhong Min Wang
Article

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.

Keywords

Viscoelastic plate with linear thickness variation Kelvin–Voigt model Differential quadrature (DQ) method Non-periodic creep 

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.School of Instrument Science & Opto-electronics EngineeringBeijing University of Aeronautics & AstronauticsBeijingChina
  2. 2.School of Civil Engineering and ArchitectureXi’an University of TechnologyXi’anChina

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