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An Exact Levy Solution for Free Vibration Analysis of FGM Plates With Integrated Piezoelectric Layers

[+] Author Affiliations
M. A. Askari-Farsangi

S. Bahonar University of Kerman, Kerman, Iran

A. R. Saidi

S. Bahonar University of Kerman, Kerman, Iran; Virginia Polytechnic Institute and State University, Blacksburg, VA

Paper No. SMASIS2011-5082, pp. 431-440; 10 pages
doi:10.1115/SMASIS2011-5082
From:
  • ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
  • ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Volume 1
  • Scottsdale, Arizona, USA, September 18–21, 2011
  • ISBN: 978-0-7918-5471-6
  • Copyright © 2011 by ASME

abstract

In the present research, an exact Levy solution for the free vibration analysis of FGM plates with integrated piezoelectric layers is established. The electrical boundary conditions and the Maxwell’s equation are satisfied by assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function. On the basis of classical plate theory, the coupled governing equations for both closed and open circuit piezoelectric coupled structures are reformulated into two new decoupled equations. The numerical results for the Levy type of boundary conditions, two opposite edges simply supported and arbitrary boundary conditions at the other edges, and both closed and open circuit piezoelectric coupled plates have been presented. The effects of piezoelectric layer thickness on the natural frequency for different power law indices, thickness-length ratios, modes, boundary conditions, and material properties are investigated.

Copyright © 2011 by ASME

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