Dynamical Stability Behaviors of Fluid-Conveyed Double-Walled Carbon Nanotubes
Based on an elastic beam model, potential flow theory and N-mode Galerkin discretization technique, the dynamical stability behaviors of fluid-conveyed double-walled carbon nanotubes (DWCNTs) considering geometry nonlinearity relating to the time as variation of the flow velocity are studied. The results show that the bifurcations happen in turn of pitchfork and Hopf types as the flow velocity increases. The vdW forces do not change the bifurcation types but make the critical velocities increase sharply. Furthermore, the vdW forces play a critical role in keeping the synchronization of the time histories of the amplitudes or the velocities of different layers of the CNTs-fluid system.
Y. Yan and W. Q. Wang, "Dynamical Stability Behaviors of Fluid-Conveyed Double-Walled Carbon Nanotubes", Advanced Materials Research, Vols. 268-270, pp. 138-142, 2011