Nonlinear free vibration of piezoelectric laminated composite plate

2009 ◽  
Vol 45 (10) ◽  
pp. 686-694 ◽  
Author(s):  
Padmanav Dash ◽  
B.N. Singh
Keyword(s):  
Free Vibration ◽  
Composite Plate ◽  
Laminated Composite ◽  
Laminated Composite Plate ◽  
Nonlinear Free Vibration

Geometrically Nonlinear Free Vibration of Laminated Composite Plate Embedded With Piezoelectric Layers Having Uncertain Material Properties

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
Padmanav Dash ◽  
B. N. Singh
Keyword(s):  
Free Vibration ◽  
Geometric Nonlinearity ◽  
Composite Plate ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Perturbation Approach ◽  
Laminated Composite Plate ◽  
Nonlinear Free Vibration ◽  
Random System ◽  
System Properties

In this paper, the nonlinear free vibration stochastic characteristic of a smart laminated composite plate having random system properties is presented. The transverse shear effects have been included in the system equation in the frame work of higher order shear deformation theory. The analysis uses the Green-Lagrange nonlinear strain displacement relationship to model geometric nonlinearity. The direct iteration approach is used to handle deterministic geometric nonlinearity, and the perturbation approach is employed to handle the randomness in the system properties. Mean and variance of the random natural frequencies have been obtained by employing a C0 isoparametric nonlinear finite element model. Comparisons with the published results show the accuracy of the proposed procedure. A few results covering various features have been presented for a laminated composite plate with different boundary conditions.

Second-order statistics of large-amplitude free vibration of a random composite plate

2009 ◽  
Vol 223 (8) ◽  
pp. 1099-1113 ◽  
Author(s):  
P Dash ◽  
B N Singh
Keyword(s):  
Free Vibration ◽  
Composite Plate ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Element Model ◽  
Perturbation Approach ◽  
Deterministic System ◽  
Laminated Composite Plate ◽  
System Equation ◽  
Non Linear

This article addresses the non-linear free vibration stochastic characteristic of a laminated composite plate having random material properties. The transverse shear effects have been included in the system equation in the frame work of higher-order shear deformation theory. The analysis uses Green—Lagrange non-linear strain—displacement relationship to model geometric non-linearity. Direct iteration approach is used to handle deterministic system non-linearity and perturbation approach is presented to handle the randomness in the system properties. Mean and variance of the random natural frequencies have been obtained by employing a C0 isoparametric non-linear finite-element model. Comparisons with the published results show the accuracy of the proposed procedure. A few results covering various features have been presented for a laminated composite plate with different boundary conditions.

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