Coupled systems mechanics

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Wave propagation of bi-directional porous FG beams using Touratier's higher-order shear deformation beam theory

  • Slimane Debbaghi (LDDI, Hydrocarbons and Renewable Energies) ;
  • Mouloud Dahmane (Department of Planning and Hydraulic Engineering, Higher National School of Hydraulics) ;
  • Mourad Benadouda (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes) ;
  • Hassen Ait Atmane (Civil Engineering Department, University of Hassiba Ben Bouali) ;
  • Nourddine Bendenia (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes) ;
  • Lazreg Hadji (Laboratory of Geomatics and Sustainable Development, University of Tiaret)
  • Received : 2023.08.03
  • Accepted : 2023.10.23
  • Published : 2024.02.25
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Abstract

This work presents an analytical approach to investigate wave propagation in bi-directional functionally graded cantilever porous beam. The formulations are based on Touratier's higher-order shear deformation beam theory. The physical properties of the porous functionally graded material beam are graded through the width and thickness using a power law distribution. Two porosities models approximating the even and uneven porosity distributions are considered. The governing equations of the wave propagation in the porous functionally graded beam are derived by employing the Hamilton's principle. Closed-form solutions for various parameters and porosity types are obtained, and the numerical results are compared with those available in the literature.The numerical results show the power law index, number of wave, geometrical parameters and porosity distribution models affect the dynamic of the FG beam significantly.

Keywords

References

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