ANALYSIS OF TRANSVERSE VIBRATIONAL RESPONSE AND INSTABILITIES OF AXIALLY MOVING CNT CONVEYING FLUID

The transverse vibration and instability of the axially moving carbon nanotube (CNT) conveying fluid were studied. To this end, the nonlocal continuum theory and Knudsen number were utilized to consider the small-scale effect of the nanostructure and nanoflow, respectively. The Hamilton's principle was employed to obtain the governing equation of motion for the axially moving CNT with and without fluid passing through it, and the analysis was carried out using the Galerkin weighted residual method. In addition, to consider the small-size effect of nanoflow through the CNT, the Knudsen number is introduced. The results indicate that the resonant frequencies in which the instabilities emerge can be influenced by the fluid flow passing through the CNT more than the axially traveling CNT speed. In addition, it can be observed that the axially moving CNT conveying fluid, while the axially CNT velocity is constant, is more stable. This demonstrates, however, that the stationary CNT conveying fluid is more stable than all cases of the axially moving CNT conveying fluid.