The uncertain free vibration analysis of functionally graded sandwich plates placed on a variable elastic foundation
Abstract
This research aims to introduce an enhanced finite element method (FEM) combined with the improved first-order shear deformation theory (i-FSDT) to analyze the natural frequency of functionally graded sandwich (FGSW) plates placed on a variable elastic foundation (VEF) with uncertain input parameters. The FGSW plates consist of two functionally graded (FG) skin layers and a core layer. The method's accuracy is validated through comparative examples. The study further investigates the influence of geometric parameters, material properties, foundation types, and boundary conditions (BCs) on natural frequency of FGSW plates. Monte Carlo simulation (MCS) is employed to reveal the frequency range under uncertain input conditions.
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