Stability of Axially Moving Piezolaminated Viscoelastic Plate Subjected to Follower Force

Advances in Materials Science and Engineering

Research Article

Min Xie¹  Jimei Wu²  Tao Jing²  Yan Wang¹ 

[1] School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China, xaut.edu.cn;Institute of Printing and Packing Engineering, Xi’an University of Technology, Xi’an 710048, China, xaut.edu.cn

Others  :  1356824
DOI  :  10.1155/2015/758472

 received in 2014-08-08, accepted in 2014-09-15,  发布年份 2015

【 摘 要 】

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.

【 授权许可】

CC BY   
Copyright © 2015 Yan Wang et al. 2015

【 图 表 】

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