vibration analysis of sandwich beams with FGM core resting on elastic foundation using FSDT

In this paper, free vibration analysis of sandwich beams with functionally graded (FG) core resting on Winkler foundation are investigated using first order shear deformation theory . The material property gradient is assumed to be in the thickness direction. The governing equation and the related boundary conditions are derived using the principal of the minimum total potential energy. The Navier type solution is used for simply supported boundary conditions, and exact formulas are proposed for the fundamental frequencies. In order to establish the accuracy of the present formulation and result, the natural frequencies are obtained, and compared with the published results available in the literature. Good agreements observed. Numerical results are presented to investigate the influences the different material distributions and foundation stiffness on the free vibration behavior of sandwich beams with FG core.

کلیدواژه ها:

Free Vibration ، FG ، FSDT ، Winkler