Vibration and stability of micro-scale cylindrical shells conveying fluid based on modified couple stress theory

Vibration characteristics of micro-scale simply supported cylindrical shells conveying fluid and embedded in an elastic medium are analysed using the new equations of motion developed based on the modified couple stress theory. It is found that the natural frequencies predicted by the established model are size-dependent, and change with the fluid flow velocity and elastic medium parameter. The size dependence is shown when the characteristic radius size is comparable with the material length-scale parameter, but decreases with the increase in characteristic size. The fluid inside the shell is also found to help in decreasing natural frequency sharply.