Temperature-dependent Vibration Analysis of Clamped-free Sandwich Beams with Porous FG Core

In recent years, there has been a demand for the production of materials with high thermal resistance and manufacturing structures with high mechanical strength in modern industries. In this paper, the frequency responses analysis of the sandwich beams with functionally graded core and homogeneous face sheets are presented based on the high-order sandwich beam theory. All materials are temperature dependent and the properties of FGM are varied gradually by a power-law rule which is modified by considering even and uneven porosity distributions across the thickness. Nonlinear Lagrange strain and thermal stresses of the face sheets and in-plane strain and transverse flexibility of the core are considered. Governing equations of the motion are obtained based on Hamilton’s principle and solved by a Galerkin method for the clamped-free boundary condition. To verify the results of this study, they compared with special cases of the literature. 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.