Investigations on dynamic analysis and free vibration of FGMs rotating circular cylindrical shells

Abstract

In this study, the free vibration studies of rotating circular cylindrical shells composited of functionally graded materials (FGMs) layer with simply supported boundary condition has been investigated. The FGMS layer composed from metal and ceramic that metal has on the outer surface and ceramic has on the inner surface of the circular cylinder shells. Based on the Love’s first approximation shell theory, relations between strain and displacement are expressed. Then, according to Hamilton’s principle, the governing equations for the cylindrical shell are extracted. Also, due to the simply supported boundary condition, the Navier’s solution is used to solve the equations of the cylindrical shell. Then the results obtained with the present method compared with the results of other investigations. The results are compared with a results that presented by other researchers. Finally, the results obtained from the rotating FGMs cylindrical shells for length to radius ratio, rotating speed, axial and circumferential wave number, are presented.