Static Response of Laminated Composite Plates Resting on Elastic Foundation with Uncertain System Properties

Abstract

Virtually, in all structural systems, there are uncertainties in the system parameters because of real bounds on the quality control and modeling. This paper presents an investigation of the stochastic bending static response of laminated composite plates resting on elastic foundation with uncertain system parameters subjected to static distributed loading. The transverse shear effects have been included in the system equation using higher order shear deformation theory. The interaction between the plate and foundation is included in the formulation with a two-parameter Pasternak model. System parameters such as material properties and foundation stiffness parameters are modeled as independent random variables. A C0 finite element method in conjunction with mean centered first-order perturbation technique is outlined to obtain the second-order response statistics of the bending deflection of the plate supported on with and without elastic foundation. The approach has been validated with independent Monte Carlo simulation and other approaches.