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Advances in Materials Science and Engineering
Volume 2015 (2015), Article ID 758472, 12 pages
http://dx.doi.org/10.1155/2015/758472
Research Article

Stability of Axially Moving Piezolaminated Viscoelastic Plate Subjected to Follower Force

1School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China
2Institute of Printing and Packing Engineering, Xi’an University of Technology, Xi’an 710048, China

Received 8 August 2014; Accepted 15 September 2014

Academic Editor: Yan Yang

Copyright © 2015 Yan Wang et al. 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.

Abstract

The stability of the moving viscoelastic plate with the piezoelectric layer subjected to uniformly distributed tangential follower force is investigated. The force excited by the piezoelectric layer due to external voltage is modeled as the follower tensile force. The differential equation of the axially moving viscoelastic rectangular plate with piezoelectric layer subjected to uniformly distributed tangential follower force is formulated on the basis of the Kirchhoff thin plate theory and the two-dimensional viscoelastic differential constitutive relation. The complex eigenvalue equations are established by the differential quadrature method. Via numerical calculation, the curves of real parts and imaginary parts of dimensionless complex frequencies versus uniformly distributed tangential follower force and dimensionless moving speed are obtained. The effects of nonconservative force, dimensionless axially moving speed, and dimensionless applied voltages on the stability of axially moving nonconservative viscoelastic plate with piezoelectric layer are analyzed.