A C° element for free vibration of composite plates with uncertain material properties
Randomness in the material properties is inherent in all engineering materials. Composites exhibit a greater scatter compared to metallic materials because of the larger number of parameters associated
with their fabrication and manufacturing. For accurate prediction of their structural behavior, material properties have been modeled as random variables. The system equations have been derived based on
higher order shear deformation theory and also include rotary inertia effects. The finite element method in conjunction with first order perturbation technique have been employed to obtain the second order
statistics of free vibration response of composite laminated plates with random material properties. The results computed from the present approach are validated using the Monte-Carlo simulation. The standard
deviation (SD) of the fundamental frequency is found to vary linearly with SD of the material properties. The influence of each random variable on the fundamental frequency has been examined.