Frequency responses analysis of clamped-free sandwich beams with porous FG face sheets

In this paper, the frequency responses analysis of the sandwich beams with functionally graded face sheets and homogeneous core is investigated based on the high order sandwich beam theory. All materials are temperature dependent and the functionally graded materials properties are varied gradually by a power law rule which is modified by considering the even and uneven porosity distributions. The nonlinear Lagrange strain and the thermal stresses of the face sheets and in-plane strain and transverse flexibility of the core are considered. Hamilton’s principle and Galerkin method are used to obtain and solve the equations for the clamped-free boundary condition. To verify the results of this study, they compared with special cases of the literatures. Based on the numerical results, it is concluded that by increasing the temperature, power law index, length, thickness, porosity volume fraction the fundamental frequency parameter decreases and increasing the wave number causes the frequency increases.