A New Higher‑Order Finite Element Model for Free Vibration and Buckling of Functionally Graded Sandwich Beams with Porous Core Resting on a Two‑Parameter Elastic Foundation Using Quasi‑3D Theory


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Mohamed I., Kahya V., Şimşek S.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY - TRANSACTIONS OF CIVIL ENGINEERING, vol.48, no.3, pp.1-26, 2024 (SCI-Expanded)

Abstract

In this paper, a new higher-order fnite element model is proposed for free vibration and buckling analysis of functionally graded (FG) sandwich beams with porous core resting on a two-parameter Winkler-Pasternak elastic foundation based on quasi-3D deformation theory. The material properties of FG sandwich beams vary gradually through the thickness according to the power-law distribution. The governing equation of motion is derived from the Lagrange's equations. Three diferent porosity patterns including uniform, symmetric, and asymmetric are considered. The accuracy and convergence of the proposed model are verifed with several numerical examples. A comprehensive parametric study is carried out to explore the efects of the boundary conditions, skin-to-core thickness ratio, power-law index, slenderness, porosity coefcient, porous distribution of the core, and elastic foundation parameters on the natural frequencies and critical buckling loads of FG sandwich beams.