Semi-analytical solution for nonlinear vibration of laminated FGM plates with geometric imperfections

Kitipornchai, S, Yang, J and Liew, K 2004, 'Semi-analytical solution for nonlinear vibration of laminated FGM plates with geometric imperfections', International Journal of Solids and Structures, vol. 41, no. 910, pp. 2235-2257.


Document type: Journal Article
Collection: Journal Articles

Title Semi-analytical solution for nonlinear vibration of laminated FGM plates with geometric imperfections
Author(s) Kitipornchai, S
Yang, J
Liew, K
Year 2004
Journal name International Journal of Solids and Structures
Volume number 41
Issue number 910
Start page 2235
End page 2257
Total pages 23
Publisher Pergamon
Abstract This paper investigates the nonlinear vibration of imperfect shear deformable laminated rectangular plates comprising a homogeneous substrate and two layers of functionally graded materials (FGMs). A theoretical formulation based on Reddy's higher-order shear deformation plate theory is presented in terms of deflection, mid-plane rotations, and the stress function. A semi-analytical method, which makes use of the one-dimensional differential quadrature method, the Galerkin technique, and an iteration process, is used to obtain the vibration frequencies for plates with various boundary conditions. Material properties are assumed to be temperature-dependent. Special attention is given to the effects of sine type imperfection, localized imperfection, and global imperfection on linear and nonlinear vibration behavior. Numerical results are presented in both dimensionless tabular and graphical forms for laminated plates with graded silicon nitride/stainless steel layers. It is shown that the vibration frequencies are very much dependent on the vibration amplitude and the imperfection mode and its magnitude. While most of the imperfect laminated plates show the well-known hard-spring vibration, those with free edges can display soft-spring vibration behavior at certain imperfection levels. The influences of material composition, temperature-dependence of material properties and side-to-thickness ratio are also discussed.
Subject Dynamics, Vibration and Vibration Control
DOI - identifier 10.1016/j.ijsolstr.2003.12.019
ISSN 0020-7683
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