Longitudinal Vibration of CNTs Viscously Damped in Span

Abstract

In this study, longitudinal vibration of a carbon nanotube with an attached damper has been investigated using the nonlocal stress gradient elasticity theory. Equations of motions have been solved analytically and frequencies of clamped-clamped and clamped-free nanotubes have been obtained explicitly in terms of damping coefficient, nonlocal parameter, the attachment point of damper and nanotube length. The nonlocal effects have important effects on the dynamics of a CNT with an attached damper.