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Structural Engineering and Mechanics Volume 95, Number 4, August25 2025 , pages 327-340 DOI: https://doi.org/10.12989/sem.2025.95.4.327 |
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Vibration analysis of FG beams with a new type of gradient variation reposed on elastic foundations |
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Radim Ghelamallah, Benferhat Rabia, Tlidji Youcef and Hassaine Daouadji Tahar
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| Abstract | ||
| This paper presents a study on the free vibrations of a new concept of functionally graded beams (FGM) resting on an elastic foundation under various boundary conditions employing the higher-order shear deformation theory (HDT). In classical FGM beam models, the variation of mechanical properties typically occurs from the top to the bottom surface. However, in this new concept, a novel variation has been proposed where the mechanical properties evolve from the exterior to the interior of the beam. This new variation is accounted for using a novel power-law mixing rule based on the constituents' volume fractions. The theoretical approach relies on the application of Hamilton's principle to derive the governing equations, which are solved using the state-space method. A parametric analysis is carried out to examine the influence of several parameters on the natural frequencies, including the power-law index, the slenderness ratio, and the Winkler and Pasternak parameters associated with the elastic foundation. | ||
| Key Words | ||
| boundary conditions; elastic foundation; exterior-to-interior variation; FGM beam; free vibrations | ||
| Address | ||
| Radim Ghelamallah, Benferhat Rabia, Hassaine Daouadji Tahar: Department of Civil Engineering, University of Tiaret, Algeria; Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria Tlidji Youcef: Department of Civil Engineering, University of Tiaret, Algeria; Materials and Structures Laboratory, Civil Engineering Department, University of Tiaret, Algeria | ||