Vibration and Instability Analysis of Double-Carbon Nanotubes System Conveying Fluid

AbstractVibration and instability analysis of a fluid-conveying double-carbon nanotube system (DCNTS) is researched in this article. The system is composed of two single-walled carbon nanotubes, and the two carbon nanotubes are assumed to be connected by an elastic spring medium. Nonlocal elasticity theory and Euler-Bernoulli beam theory are employed in the equation modeling of the system. The nonlocal effect on the in-phase (synchronous) and out-of-phase (asynchronous) vibration of fluid-conveying DCNTS is discussed in detail. Explicit expressions of critical-flow velocity are given for both in-phase and out-of-phase vibration. It is found that the nonlocal parameter plays an important role in the natural frequency and critical-flow velocity for both the in-phase and out-of-phase vibration. An increase in the nonlocal parameter has an obvious reducing effect on the natural frequency and critical-flow velocity. For the case of out-of-phase vibration, the effect of spring stiffness reduces the nonlocal effect.