Abstract
The free vibration analysis of composite thin and relatively thick plates accounting for uncertainty is addressed in this work. Classical and refined two-dimensional models derived via Carrera's Unified Formulation (CUF) are considered. Material properties and geometrical parameters are supposed to be random. The fundamental frequency related to the first bending eigenmode is stochastically described in terms of the mean value, the standard deviation, the related confidence intervals and the cumulative distribution function. The Monte Carlo Method is employed to account for uncertainty. Cross-ply, simply supported, orthotropic plates are accounted for. Symmetric and anti-symmetric lay-ups are investigated. Displacements based and mixed two-dimensional theories are adopted. Equivalent single layer and layer wise approaches are considered. A Navier type solution is assumed. The conducted analyses have shown that for the considered cases, the fundamental natural frequency is not very sensitive to the uncertainty in the material parameters, while uncertainty in the geometrical parameters should be accounted for. In the case of thin plates, all the considered models yield statistically matching results. For relatively thick plates, the difference in the mean value of the natural frequency is due to the different number of degrees of freedom in the model.
Highlights
Over the last decades, the use of composite materials has increased more and more in aeronautic, space, marine and automotive fields due to the fact that high values of the stiffness-to-weight and the strength-to-weight ratios can be obtained
The free vibration analysis of layered plates accounting for uncertainty is addressed in this work
Giunta et al / Free vibration analysis of composite plates via refined theories accounting for uncertainties
Summary
The use of composite materials has increased more and more in aeronautic, space, marine and automotive fields due to the fact that high values of the stiffness-to-weight and the strength-to-weight ratios can be obtained. An accurate analysis of composite structures calls, for the assumption of both higher order models and an effective manner to account for uncertainty. G. Giunta et al / Free vibration analysis of composite plates via refined theories accounting for uncertainties. Aydogdu and Timarci [2] used a simplified version of the displacement based model by Messina in order to investigate the free vibration behaviour of cross-ply laminated plates subjected to different sets of boundary conditions. The MCM is adopted in order to account for uncertainties affecting both composite material properties and plate geometry. In such a manner, an accurate description of composite plates mechanics is coupled to a very effective stochastic procedure.
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