Abstract：Based on the high-order nonlocal strain gradient theory and slip boundary conditions of nano-scale fluid,a dynamic model of Euler-Bernoulli beams for fluid-filled single-walled carbon nanotubes (SWCNT) was established. The governing equation of wave propagation for fluid filled SWCNT beams was derived according to the Hamilton’s principle. By solving the governing equations,analytical expressions of angular frequency for dynamic systems were obtained,and the influence from nano-scale effects on dynamic behaviors of SWCNTs were studied. According to the simulation results,wave propagation with low wavelength are enhanced by strain gradient and fluid slip boundary effects when the ones with high wavelength are damped. The nonlocal stress effect only contributes to the decay of the dynamic behaviors for any wavelength. These three scale effects lead to stiffness enhancement for fluid filled SWCNTs at low fluid velocity when wave propagation are promoted. However,the wave propagation behaviors are damped at high fluid velocity,since energy transmission in this case is damped by the scale effects.
