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.
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ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
September 18–21, 2011
Scottsdale, Arizona, USA
Conference Sponsors:
- Aerospace Division
ISBN:
978-0-7918-5471-6
PROCEEDINGS PAPER
An Exact Levy Solution for Free Vibration Analysis of FGM Plates With Integrated Piezoelectric Layers Available to Purchase
M. A. Askari-Farsangi,
M. A. Askari-Farsangi
S. Bahonar University of Kerman, Kerman, Iran
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A. R. Saidi
A. R. Saidi
S. Bahonar University of Kerman, Kerman, Iran; Virginia Polytechnic Institute and State University, Blacksburg, VA
Search for other works by this author on:
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
Published Online:
February 7, 2012
Citation
Askari-Farsangi, MA, & Saidi, AR. "An Exact Levy Solution for Free Vibration Analysis of FGM Plates With Integrated Piezoelectric Layers." Proceedings of the 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. pp. 431-440. ASME. https://doi.org/10.1115/SMASIS2011-5082
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