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Earthquakes and Structures Volume 31, Number 1, July 2026 , pages 001-24 DOI: https://doi.org/10.12989/eas.2026.31.1.001 |
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Nonlocality, porosity dependent and nonlinear viscoelastic foundation effects on the dynamic behaviour of FG beams |
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Abdelhakim Bouhadra, Abderahmane Menasria, Djamel Eddine Lafi, Salah Refrafi, Hayat Benachi, Abdelkader Tamrabet
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| Abstract | ||
| This study explores the free vibration behaviour of simply supported functionally graded material (FGM) nanobeams on various elastic and viscoelastic foundations using Eringen's nonlocal elasticity theory. The governing equations and boundary conditions are derived through Hamilton's principle, incorporating small-scale effects that are crucial at the nanoscale. The analytical Navier solution is used to solve these equations, providing accurate natural frequency predictions. The study validates its approach against previous research and conducts a detailed parametric analysis. This analysis examines the influence of key factors, such as the power-law index, nonlocal parameter, porosity, and foundation elastic and damping coefficients. The results show that increased porosity and nonlocal effects generally decrease the natural frequencies, whereas foundation stiffness and damping significantly affect the vibrational response. These findings underscore the importance of considering material gradation, microstructural characteristics, and foundation properties in the dynamic analysis and design of FGM nanobeams for advanced nano-engineering applications. | ||
| Key Words | ||
| Eringen; Hamilton model; nanobeams; vibration; virtual work principle; viscoelastic foundations | ||
| Address | ||
| Abdelhakim Bouhadra, Abderahmane Menasria: 1) Civil Engineering Department, University of Khenchela, Faculty of Sciences and Technology, Algeria; 2) Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria Djamel Eddine Lafi, Abdelkader Tamrabet: Civil Engineering Department, University of Ferhat Abbas, Setif1, Faculty of Technology, Algeria Salah Refrafi: Civil Engineering Department, University of Khenchela, Faculty of Sciences and Technology, Algeria Hayat Benachi: 1) Civil Engineering Department, University of Khenchela, Faculty of Sciences and Technology, Algeria; 2) Laboratory of Engineering and Sciences of Advanced Materials, BP 1252 Road of Batna, Khenchela 40000, Algeria | ||