Flow-induced Vibration of Carbon Nanopipe with Nonlocal Effect

In this paper, the flow-induced vibration and flutter instability of cantilever carbon nanotubes conveying fluid and modeled as a thin-walled Timoshenko beam are investigated. Analytically nonlocal theory, transverse shear and rotary inertia effects are incorporated in this study. The governing equations and the boundary conditions are derived through Hamilton's principle. Numerical analysis is performed by using extended Galerkin method which enables us to obtain more exact solutions compared with conventional Galerkin method. Variation in the critical flow velocity of carbon nanopipes based on three different models of analytically nonlocal model, partially nonlocal model, and local model are investigated and pertinent comparisons are performed.