Static and dynamic analysis of sandwich panel with spatially varying non-Gaussian properties

Abstract

In this work, we study the material and geometric uncertainty effects on the static, free vibration and dynamic behaviour of sandwich beam structures. A higher-order sandwich panel theory is considered for the analysis. The elastic properties of the sandwich beam are considered as 1-D non-Gaussian random field which causes local variation in mass and stiffness matrices of the beam. The discretization of the non-Gaussian random fields is performed using the expansion optimal linear estimation. To perform the numerical analysis, Monte-Carlo simulation along with the computationally efficient time-domain spectral element method is proposed. Numerical results are obtained for different boundary conditions as well as for different materials in the sandwich face sheet and core. Results obtained in this work quantify the effects of material and geometric uncertainty in the response behaviour of a sandwich beam. The individual effect of core thickness and Poisson’s ratio of the core on the static, free vibration and dynamic response is quantified. It is observed that the uncertainties in material and geometric properties along with loading and boundary conditions influence the static, free vibration and dynamic response.