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Earthquakes and Structures Volume 29, Number 5, November 2025 , pages 353-369 DOI: https://doi.org/10.12989/eas.2025.29.5.353 |
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Free vibration of new model of FG beams using state space approach |
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Radim Ghelamallah, Tlidji Youcef, Benferhat Rabia and Hassaine Daouadji Tahar
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| Abstract | ||
| This work aims to study the natural frequencies of functionally graded beams by applying the higher-order shear deformation theory (HDT). The study focuses on the variation of mechanical properties across the beam's thickness. A new model of FGM beams is proposed, in which the material properties are governed by a novel power-law distribution of the volume fraction, varying from the exterior to the interior of the beam. By applying Hamilton's principle, the governing equations are derived using the state-space method. The accuracy of this method is demonstrated for the classical beam model, and the obtained results are validated through comparisons with previous studies. A comprehensive analysis is carried out to evaluate the impact of key parameters, such as the power-law index and the slenderness ratio, on the natural frequencies of functionally graded beams under various boundary conditions. | ||
| Key Words | ||
| boundary conditions; HDT; natural frequencies; new model of FG beam; state space method | ||
| Address | ||
| Radim Ghelamallah and 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 | ||