Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates

Yang, J, Kitipornchai, S and Liew, K 2003, 'Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates', Computer Methods in Applied Mechanics and Engineering, vol. 192, no. 3536, pp. 3861-3885.


Document type: Journal Article
Collection: Journal Articles

Title Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates
Author(s) Yang, J
Kitipornchai, S
Liew, K
Year 2003
Journal name Computer Methods in Applied Mechanics and Engineering
Volume number 192
Issue number 3536
Start page 3861
End page 3885
Total pages 25
Publisher Elsevier BV
Abstract This paper presents a large amplitude vibration analysis of pre-stressed functionally graded material (FGM) laminated plates that are composed of a shear deformable functionally graded layer and two surface-mounted piezoelectric actuator layers. Nonlinear governing equations of motion are derived within the context of Reddy's higher-order shear deformation plate theory to account for transverse shear strain and rotary inertia. Due to the bending and stretching coupling effect, a nonlinear static problem is solved first to determine the initial stress state and pre-vibration deformations of the plate that is subjected to uniform temperature change, in-plane forces and applied actuator voltage. By adding an incremental dynamic state to the pre-vibration state, the differential equations that govern the nonlinear vibration behavior of pre-stressed FGM laminated plates are derived. A semi-analytical method that is based on one-dimensional differential quadrature and Galerkin technique is proposed to predict the large amplitude vibration behavior of the laminated rectangular plates with two opposite clamped edges. Linear vibration frequencies and nonlinear normalized frequencies are presented in both tabular and graphical forms, showing that the normalized frequency of the FGM laminated plate is very sensitive to vibration amplitude, out-of-plane boundary support, temperature change, in-plane compression and the side-to-thickness ratio. The CSCF and CFCF plates even change the inherent "hard-spring" characteristic to "soft-spring" behavior at large vibration amplitudes.
Subject Dynamics, Vibration and Vibration Control
Keyword(s) functionally graded materials
higher-order shear deformation plate theory
laminated plates
large amplitude vibration
piezoelectric materials
pre-stress
DOI - identifier 10.1016/S0045-7825(03)00387-6
Copyright notice © 2003 Elsevier B.V. All rights reserved.
ISSN 0045-7825
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