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Structural Engineering and Mechanics
  Volume 31, Number 5, March 30 2009 , pages 481-506
DOI: https://doi.org/10.12989/sem.2009.31.5.481
 


Stochastic free vibration analysis of smart random composite plates
B. N. Singh, N. Vyas and P. Dash

 
Abstract
    The present study is concerned with the stochastic linear free vibration study of laminated composite plate embedded with piezoelectric layers with random material properties. The system equations are derived using higher order shear deformation theory. The lamina material properties of the laminate are modeled as basic random variables for accurate prediction of the system behavior. A C0 finite element is used for spatial descretization of the laminate. First order Taylor series based mean centered perturbation technique in conjunction with finite element method is outlined for the problem. The outlined probabilistic approach is used to obtain typical numerical results, i.e., the mean and standard deviation of natural frequency. Different combinations of simply supported, clamped and free boundary conditions are considered. The effect of side to thickness ratio, aspect ratio, lamination scheme on scattering of natural frequency is studied. The results are compared with those available in literature and an independent Monte Carlo simulation.
 
Key Words
    natural frequency; smart composite materials; random variables; finite element method.
 
Address
B. N. Singh, N. Vyas and P. Dash: Department of Aerospace Engineering, Indian Institute of Technology Kharagpur 721 302, India
 

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