LAUSR

Many studies have reported that the material properties of carbon nanotubes (CNTs) show a wide range and exhibit a great of uncertainties. The uncertainty, in turn, will affect the physical behaviors of CNTs. In this paper, an iterative algorithm-based interval analysis method is proposed to deal with the flexural wave propagation characteristics of fluid-conveying CNTs with system uncertainties. To make the conclusion more objective, the properties of the material and fluid are all considered as uncertain-but-bounded parameters, which can effectively describe the uncertainties where few data are available to perform the probabilistic analysis. The upper and lower bounds of the wave dispersion curves are predicted to clarify the influences of the uncertain material and fluid properties on the wave propagation behaviors of fluid-conveying CNTs. It is demonstrated that the widths of the wave frequency and phase velocity behave different at different wavelengths. Besides, the bounds predicted by the probabilistic model are given to verify the present model, and the present model is also validated by comparing with the Monte Carlo simulation. The present model provides some useful guides for using CNTs to convey fluid flows.