Free vibration analysis of micro and nano fiber-metal laminates circular cylindrical shells based on modified couple stress theory

In this manuscript the frequencies of micro and nano fiber-metal laminate (FML) cylindrical shells based on modified couple stress theory (MCST) have been obtained. Love's first approximation shell theory has been applied to consider the thin cylindrical shell and beam modal function model used to satisfy the governing equations of motion subjected to different boundary conditions. Vibration of micro and nano FML cylindrical shells has been considered for carbon/epoxy, glass/epoxy and aramid/epoxy as composites and for aluminum as metal. Also, the frequencies of the shells have been calculated for different volume fractions of composite section, lay-ups, material length scale parameters, length to radius ratio, axial and circumferential wave numbers. The results have been compared to the other researches and showed excellent agreement with them. Also, the frequencies of aramid reinforced aluminum laminate micro and nano cylinder are more than the other ones.