Ehsan Bahmyari

In the present study, a non-intrusive chaotic radial basis function approach is developed to investigate the free vibration response of laminated composite plates considering uncertainties in the material properties, thickness and fber orientation in each lamina, as well as the uncertainties in the boundary conditions of the plates. All the uncertain parameters are considered as spatially varying random felds and are approximated using the Karhunen–Loeve expansion. The accuracy of the results obtained by the developed method is compared with those of Monte Carlo simulation, and an excellent agreement is obtained with a considerably less computation time. In addition, the applicability of the method is shown by investigating the effect of the uncertainty parameters on the vibration response of such structures. The results show that the uncertainties can importantly affect the vibration characteristics of elastically restrained laminated composite plates.