Free vibration of functionally graded porous beams supported by an elastic foundation

Tlidji Youcef, Benferhat Rabia and Hassaine Daouadji Tahar

Abstract

This paper introduces an advanced method for analyzing the mechanical behavior of functionally graded porous (FGP) beams resting on a Winkler-Pasternak elastic foundation. The approach integrates high-order deformation theory with Timoshenko beam theory to enhance accuracy. The governing equations are derived using Hamilton's principle, and the state-space method is applied for their resolution. The study examines three different boundary conditions and two porosity distribution patterns—symmetric and asymmetric. It systematically investigates the impact of porosity, boundary conditions, foundation parameters, span-to-height ratio, and porosity distribution on the natural frequencies of FGP beams.

Key Words

boundary conditions; elastic foundation; FGP beams; state-space approach; vibration analysis

Address

Tlidji Youcef: 1) Department of Civil Engineering, University of Tiaret, Algeria, 2) Materials and Structures Laboratory, Civil Engineering Department, University of Tiaret, Algeria Benferhat Rabia and Hassaine Daouadji Tahar: 1) Department of Civil Engineering, University of Tiaret, Algeria, 2) Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria

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