Dynamic instability analysis of single walled Carbone Nano Tubes conveying fluid under generalized boundary conditions

The dynamic instabilities of Carbon NanoTubes (CNTs) conveying fluid are modeled and numerically simulated based on the nonlocal elasticity theory. The small scale parameter and the fluid-tube interaction effects on the dynamic behaviors of the CNT-fluid system as well as the instabilities induced by the fluid-velocity are investigated. The critical fluid-velocity and frequency-amplitude relationships as well as the flutter and divergence instability types and the associated time responses can be obtained based on the presented methodological approach.