Dynamics Instability Analysis of Multi-Walled Carbon Nanotubes Conveying Fluid

Abstract

The dynamic instability analysis of conveying fluid multi-walled carbon nanotubes (MWCNT) is analyzed. Based on the nonlocal elasticity theory, Donnells shell model, potential flow theory and the van der Waal interaction between walls, the governing equations are formulated. The small scale parameter and the internal fluid interaction effects on the dynamic behaviors of the MWCNT-fluid system as well as the instabilities induced by the fluid velocity are investigated. The critical velocity and the frequency-amplitude relationships are obtained with respect to physical and material parameters.

Vibration Characteristics of Single-Walled Carbon Nanotubes Based on Nonlocal Elasticity Theory Using Wave Propagation Approach (WPA) Including Chirality

“…Wang et al [19] and Yang et al [20] presented a survey of SWCNT based on nonlocal Timoshenko beam theory (TBM). CNT analysis has been explained by some researchers [21][22][23][24][25]. Bocko and Lengvarský studied the vibration frequencies of CNTs for different termination conditions and mode shapes using nonlocal elastic theory.…”

Numerical modeling of dynamic and parametric instabilities of single-walled carbon nanotubes conveying pulsating and viscous fluid

“…Ansari et al [20] studied the dynamic stability of embedded single walled carbon nanotube including thermal environment effects. Vibration and dynamic instability analyses of CNT are elaborated in [21][22][23] and the higher order free vibration of SWCNTs was extensively analyzed in [23]. The dynamic stability of parametrically excited linear resonant beams under periodic axial force has been recently studied by…”

Vibrational Behavior of Single-Walled Carbon Nanotubes Based on Donnell Shell Theory Using Wave Propagation Approach

“…An analysis of vibration characteristics of SWCNTs was examined by Yang et al [15] and initiated this analysis is based on Timoshenko beam model for nonlocal theory. A number of end conditions have interpreted by Azrar et al [16][17] for the vibrations of these tubes. Recently, vibration behaviors of SWCNTs have been investigated by some researchers [18,19,20].…”