Free vibration of carbon nanotubes conveying viscous fluid using nonlocal Timoshenko beam model

Abstract

The flexural vibration of carbon nanotubes (CNTs) conveying viscous fluid is investigated by the nonlocal Timoshenko beam model. The frequencies are obtained using the Galerkin method. Studying the influence of the fluid viscosity on the fundamental frequency and criti-cal flow velocity of CNTs, is the main aim of this paper. Also, the effects of fluid flow veloc-ity, nonlocal parameter and aspect ratio on the fundamental frequency and critical flow veloc-ity of CNTs are elucidated. Furthermore, different boundary conditions such as clamped-clamped, pinned-pinned, clamped-pinned end conditions have been considered.