Dynamic Stability of Axially Accelerating Viscoelastic Plate

Zhou, Yin-Feng; Wang, Zhong-Min

doi:https://doi.org/10.3814/2009/856320

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Research Article | Open Access

Volume 2009 | Article ID 856320 | https://doi.org/10.3814/2009/856320

Dynamic Stability of Axially Accelerating Viscoelastic Plate

Yin-Feng Zhou¹and Zhong-Min Wang¹

Received17 Oct 2008

Revised02 Jan 2009

Accepted12 Feb 2009

Published17 Mar 2009

Abstract

The transverse vibration of an axially accelerating viscoelastic plate is investigated. The governing equation is derived from the two-dimensional viscoelastic differential constitutive relation while the resulting equation is discretized by the differential quadrature method (DQM). By introducing state vector, the first-order state equation with periodic coefficients is established and then it is solved by Runge-Kutta method. Based on the Floquet theory, the dynamic instability regions and dynamic stability regions for the accelerating plate are determined and the effects of the system parameters on dynamic stability of the plate are discussed.

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Copyright

Copyright © 2009 Yin-Feng Zhou and Zhong-Min Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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