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Steel and Composite Structures Volume 21, Number 5, August10 2016 , pages 999-1016 DOI: https://doi.org/10.12989/scs.2016.21.5.999 |
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Free vibration of functionally graded thin beams made of saturated porous materials |
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M.R. Galeban, A. Mojahedin, Y. Taghavi and M. Jabbari
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| Abstract | ||
| This study presents free vibration of beam made of porous material. The mechanical properties of the beam is variable in the thickness direction and the beam is investigated in three situations: poro/nonlinear nonsymmetric distribution, poro/nonlinear symmetric distribution, and poro/monotonous distribution. First, the governing equations of porous beam are derived using principle of virtual work based on Euler-Bernoulli theory. Then, the effect of pores compressibility on natural frequencies of the beam is studied by considering clampedclamped, clamped-free and hinged-hinged boundary conditions. Moreover, the results are compared with homogeneous beam with the same boundary conditions. Finally, the effects of poroelastic parameters such as pores compressibility, coefficients of porosity and mass on natural frequencies has been considered separately and simultaneously. | ||
| Key Words | ||
| free vibration; Euler-Bernoulli theory; functionally graded beam; porous material | ||
| Address | ||
| (1) M.R. Galeban: Young Researchers and Elite Club Behbahan Branch, Islamic Azad University, Behbahan, Iran; (2) A. Mojahedin, M. Jabbari: Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran; (3) Y. Taghavi: Department of Biomedical Engineering, Tehran Medical Sciences Branch, Islamic Azad University, Tehran, Iran. | ||