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Bending and Free Vibration Analysis of Porous-Functionally-Graded (PFG) Beams Resting on Elastic Foundations

Lazreg Hadji1,2,*, Fabrice Bernard3, Nafissa Zouatnia4

1 Laboratory of Geomatics and Sustainable Development, University of Tiaret, Tiaret, 14000, Algeria
2 Department of Mechanical Engineering, University of Tiaret, Tiaret, 14000, Algeria
3 INSA Rennes, Laboratory of Civil Engineering and Mechanical Engineering, Rennes, 35043, France
4 Department of Civil Engineering, University of Tiaret, Tiaret, 14000, Algeria

* Corresponding Author: Lazreg Hadji. Email: email

(This article belongs to this Special Issue: Materials and Energy an Updated Image for 2021)

Fluid Dynamics & Materials Processing 2023, 19(4), 1043-1054. https://doi.org/10.32604/fdmp.2022.022327

Abstract

The bending and free vibration of porous functionally graded (PFG) beams resting on elastic foundations are analyzed. The material features of the PFG beam are assumed to vary continuously through the thickness according to the volume fraction of components. The foundation medium is also considered to be linear, homogeneous, and isotropic, and modeled using the Winkler-Pasternak law. The hyperbolic shear deformation theory is applied for the kinematic relations, and the equations of motion are obtained using the Hamilton’s principle. An analytical solution is presented accordingly, assuming that the PFG beam is simply supported. Comparisons with the open literature are implemented to verify the validity of such a formulation. The effects of the elastic foundations, porosity volume percentage and span-to-depth ratio are finally discussed in detail.

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Bending and Free Vibration Analysis of Porous-Functionally-Graded (PFG) Beams Resting on Elastic Foundations

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Cite This Article

Hadji, L., Bernard, F., Zouatnia, N. (2023). Bending and Free Vibration Analysis of Porous-Functionally-Graded (PFG) Beams Resting on Elastic Foundations. FDMP-Fluid Dynamics & Materials Processing, 19(4), 1043–1054.



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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