Porosities-dependent wave propagation in bi-directional functionally graded cantilever beam with higher-order shear model.

Autor: Dahmane, Mouloud, Benadouda, Mourad, Fellah, Ahmed, Saimi, Ahmed, Hassen, Ait Atmane, Bensaid, Ismail
Předmět:
Zdroj: Mechanics of Advanced Materials & Structures; 2024, Vol. 31 Issue 26, p8018-8028, 11p
Abstrakt: The contribution provided in this paper is to investigate the dynamic response of bidirectional graded material beams with porosities. Higher order shear deformation beam theory for wave propagation in porous functionally graded cantilevered beam are developed, taking into account the bidirectional distribution, which is mainly represented in the density and the Young's modulus. The material properties of the porous FG beam are graded through the thickness and width using a power law distribution. The governing equations of the wave propagation in the porous FG beam are derived by employing the Hamilton's principle. The analytic dispersion relation of the bidirectional porous FG beam is obtained by solving an eigenvalue problem. Two porosities models approximating the even and uneven distributions of porosity are considered. The results obtained for bidirectional FG beam were compared with those reported in the literature, and the results were very agreement. The effects of the volume fraction distributions, the number of wave propagation, various parameters and the porosity type on dynamic of functionally graded beam are discussed in details. The numerical results show that the power law index, number of wave, wave velocity, and porosity distribution model affect the dynamic behavior of the beam significantly. The results show that the uneven porosity predicts higher natural frequencies than the even porosity. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index