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

Yang, J., Kitipornchai, S. and Liew, K.M. (2003) Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates. Computer Methods In Applied Mechanics And Engineering, 192 35-36: 3861-3885. doi:10.1016/S0045-7825(03)00387-6

Author Yang, J.
Kitipornchai, S.
Liew, K.M.
Title Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates
Journal name Computer Methods In Applied Mechanics And Engineering   Check publisher's open access policy
ISSN 0045-7825
Publication date 2003-08-29
Sub-type Article (original research)
DOI 10.1016/S0045-7825(03)00387-6
Volume 192
Issue 35-36
Start page 3861
End page 3885
Total pages 25
Place of publication Switzerland
Publisher Elsevier Science SA
Collection year 2003
Language eng
Subject C1
290801 Structural Engineering
680403 Civil
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. (C) 2003 Elsevier B.V. All rights reserved.
Keyword Mathematics, Interdisciplinary Applications
Engineering, Multidisciplinary
Large Amplitude Vibration
Laminated Plates
Functionally Graded Materials
Piezoelectric Materials
Higher-order Shear Deformation Plate Theory
Functionally Graded Plates
Thick Rectangular-plates
Shear Deformation
Active Control
Mindlin Plate
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
2004 Higher Education Research Data Collection
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 114 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 126 times in Scopus Article | Citations
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Created: Wed, 15 Aug 2007, 01:32:00 EST