This paper studies the free vibration behavior of a sandwich beam resting on Winkler elastic foundation. The sandwich beam is composed of two FGM face layers and a functionally graded (FG) porous core. A common general form of different beam theories is proposed and the equations of motion are formulated using Hamilton’s principle. | Free vibration analysis of sandwich beams with FG porous core and FGM faces resting on winkler elastic foundation by various shear deformation theories