The uncertain free vibration analysis of functionally graded sandwich plates placed on a variable elastic foundation
Year: 2025
Type: article
Abstract: This study presents an enhanced finite element method (FEM) integrated with the improved first-order shear deformation theory (i-FSDT) for analyzing the natural frequencies of functionally graded sandwich (FGSW) plates resting on a variable elastic foundation (VEF) with uncertain input parameters. The FGSW plates are composed of two functionally graded (FG) face layers and a homogeneous or FG core layer. The proposed method is validated by comparing it with existing benchmark solutions to ensure its accuracy and reliability. In addition, the study explores the effects of geometric configurations, material properties, foundation types, and boundary conditions (BCs) on the natural frequencies of FGSW plates. To address uncertainty in input parameters, Monte Carlo simulation (MCS) is employed to determine the probabilistic range of natural frequencies. The numerical and graphical results show that the uncertainties of the input parameters interact to greatly affect the natural frequency of sandwich plates.
Authors: Ngoc-Tu Do, Nhan Thinh Hoang
Institutions: Hanoi University of Industry, Trường ĐH Nguyễn Tất Thành
Language: English
Subfield: Mechanics of Materials
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,078
OpenAlex ID: W4411494413