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

  • Received : 2025.01.13
  • Accepted : 2025.04.09
  • Published : 2025.08.25
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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.

Keywords

References

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