Terahertz wave characteristics of a single-walled carbon nanotube containing a fluid flow using the nonlocal Timoshenko beam model

Abstract Free vibration of a single-walled carbon nanotube (SWCNT) embedded in an elastic medium is studied on the basis of the nonlocal Timoshenko beam model. Influences of the slenderness ratios, the boundary conditions, the atomic structures and the stiffness of the embedded medium on the natural frequencies and mode shapes of SWCNT are examined. The nonlocal effect is significant for the higher modes of SWCNT with a small slenderness ratio embedded in a soft elastic medium, and it softens the SWCNT except for the fundamental frequency of the clamped–free SWCNT.

Download Full-text

Vibration Behavior of Nanoparticle Delivery in a Single-Walled Carbon Nanotube Using Nonlocal Timoshenko Beam Theory

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2013.2875 ◽

2013 ◽

Vol 10 (6) ◽

pp. 1472-1476 ◽

Cited By ~ 1

Author(s):

Yu-Ching Yang ◽

Win-Jin Chang ◽

Haw-Long Lee

Keyword(s):

Carbon Nanotube ◽

Timoshenko Beam ◽

Beam Theory ◽

Timoshenko Beam Theory ◽

Single Walled Carbon Nanotube ◽

Nanoparticle Delivery ◽

Single Walled Carbon ◽

Vibration Behavior ◽

Nonlocal Timoshenko Beam Theory

Download Full-text

Chaotic vibrations of a harmonically excited carbon nanotube with consideration of thermomagnetic filed and surface effects

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406218823810 ◽

2019 ◽

Vol 233 (10) ◽

pp. 3649-3658 ◽

Cited By ~ 1

Author(s):

H Ramezannejad Azarboni ◽

SA Edalatpanah

Keyword(s):

Carbon Nanotube ◽

Dynamic Response ◽

Governing Equation ◽

Surface Effect ◽

Time History ◽

Integration Scheme ◽

Beam Model ◽

Single Walled Carbon Nanotube ◽

Single Walled Carbon ◽

Chaotic Vibrations

In the studies of the dynamic response of carbon nanotubes, the stability, predictable, and unpredictable chaotic vibrations are fundamental characteristics. In this paper, we investigate the chaotic and periodic vibrations of a single-walled carbon nanotube resting on the viscoelastic foundation, based on the nonlocal Euler–Bernoulli beam model. It is assumed that the single-walled carbon nanotube is subjected to an external harmonic excitation. The axial thermomagnetic field and the surface effect on the governing equation of single-walled carbon nanotube are taken into account. We also solve the nonlinear governing equation by using the Galerkin decomposition method along with the fourth-order Rung–Kutta numerical integration scheme. Furthermore, we analyze the effects of amplitude and frequency of excitation on the formation of chaotic and periodic regions using bifurcation diagrams and largest Lyapunov exponents. Moreover, we present the phase portrait, Poincare maps, and time history to observe the periodic and chaotic responses of the system. The results show that the nonlinear dynamic response of single-walled carbon nanotube is much more sensitive to both amplitude and frequency of excitation.

Download Full-text