This paper presents an analytical solution for transient response of a simply supported functionally graded piezoelectric material (FGPM) beam under mechanical loads. The beam’s material properties are assumed to vary through the thickness direction following a power law distribution in terms of the volume fractions of the constituent materials. Based on higher-order shear deformation theory the governing equations, equations of motion and Maxwell equation, are derived using Hamilton’s principle. The resulting system of differential equations of vibration is solved using the finite Fourier transformation method. Using the Laplace transform, the unknown variables are obtained in the Laplace domain. Applying the analytical Laplace inverse method, the solution in the time domain is derived. Initially the efficiency of the proposed method is investigated by comparing present results with FEM and Newmark method. Then the effects of material composition, slenderness ratio, and shear deformation on the transient response are investigated.
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ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis
July 12–14, 2010
Istanbul, Turkey
Conference Sponsors:
- International
ISBN:
978-0-7918-4915-6
PROCEEDINGS PAPER
Dynamic Analysis of Functionally Graded Piezoelectric Material Beam Using the Hybrid Fourier-Laplace Transform Method Available to Purchase
A. Doroushi,
A. Doroushi
Amirkabir University of Technology, Tehran, Iran
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A. H. Akbarzadeh,
A. H. Akbarzadeh
Amirkabir University of Technology, Tehran, Iran
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M. R. Eslami
M. R. Eslami
Amirkabir University of Technology, Tehran, Iran
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A. Doroushi
Amirkabir University of Technology, Tehran, Iran
A. H. Akbarzadeh
Amirkabir University of Technology, Tehran, Iran
M. R. Eslami
Amirkabir University of Technology, Tehran, Iran
Paper No:
ESDA2010-24577, pp. 475-483; 9 pages
Published Online:
December 28, 2010
Citation
Doroushi, A, Akbarzadeh, AH, & Eslami, MR. "Dynamic Analysis of Functionally Graded Piezoelectric Material Beam Using the Hybrid Fourier-Laplace Transform Method." Proceedings of the ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 1. Istanbul, Turkey. July 12–14, 2010. pp. 475-483. ASME. https://doi.org/10.1115/ESDA2010-24577
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