On vibration and instability of carbon nanotubes conveying fluid

In an earlier paper, in 2005, the vibration and instability of carbon nanotubes conveying fluid were investigated to represent the influence of internal moving fluid on the resonant frequencies. Recently, however, it has become clear that the vibrational frequencies given in that earlier work are incomplete. A reevaluation of the problem is undertaken here, with some new and fresh results as to how the vibrational frequencies do vary with various values of flow velocity. In the process, the differential quadrature method (DQM) is utilized to discretize the equation of motion, and the resonant frequencies are obtained by solving a generalized eigenvalue problem. The numerical results indicate that coupled-mode flutter may occur at higher flow velocity.