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Free vibration of new model of FG beams using state space approach

  • Received : 2024.11.05
  • Accepted : 2025.08.22
  • Published : 2025.11.25
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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.

Keywords

Acknowledgement

We sincerely thank the reviewers for accepting the evaluation of this work.

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