Coupled twist–bending static and dynamic behavior of a curved single-walled carbon nanotube based on nonlocal theory

Due to the nonlocal Euler–Bernoulli elastic beam theory, the effects of rippling deformation on the bending modulus and the structural bending instability of a single-walled carbon nanotube (SWCNT) are investigated. The nonlinear vibrational model of a cantilevered SWCNT is solved using the perturbation method of multiscales. The nonlinear resonant frequency and the associated effective bending modulus of the carbon nanotube (CNT) are derived analytically. The effects of the nonlocal parameter, the external harmonic force, and the diameter-to-length ratio on the effective bending modulus are discussed widely. Moreover, the model can predict special kind of structural instability due to the rippling deformation called rippling instability. The results show that the nonlocal theory forecasts larger values for the effective bending modulus compared with the classical beam theory, especially for the stubby CNTs. Meanwhile, the rippling instability threshold will move to the higher values of the diameter-to-length ratio based on the nonlocal beam theory comparing with the local ones.

Download Full-text

Dynamic Behavior of a Single-walled Carbon Nanotube for Nanoparticle Delivery with Surface Effect

Materials Science and Engineering ◽

10.1142/9789813226517_0012 ◽

2017 ◽

Author(s):

Wei Wang ◽

Wei-Kai Xu

Keyword(s):

Carbon Nanotube ◽

Dynamic Behavior ◽

Surface Effect ◽

Single Walled Carbon Nanotube ◽

Nanoparticle Delivery ◽

Single Walled Carbon

Download Full-text

Free and forced axial vibration of single walled carbon nanotube under linear and harmonic concentrated forces based on nonlocal theory

International Journal of Modern Physics B ◽

10.1142/s0217979220500678 ◽

2020 ◽

Vol 34 (08) ◽

pp. 2050067 ◽

Cited By ~ 3

Author(s):

Farshad Khosravi ◽

Seyyed Amirhosein Hosseini ◽

Hasti Hayati

Keyword(s):

Carbon Nanotube ◽

Natural Frequencies ◽

Constitutive Relations ◽

Nonlocal Parameter ◽

Nonlocal Theory ◽

Axial Vibration ◽

Single Walled Carbon Nanotube ◽

Single Walled Carbon ◽

Concentrated Forces

The aim of this paper is to investigate the free and forced axial vibrations under the two various linear and harmonic axial concentrated forces in zigzag single-walled carbon nanotube (SWCNT). Two different boundary conditions, namely clamped–clamped and clamped-free, are established. Eringen’s nonlocal elasticity is employed to justify the nonlocal behavior of constitutive relations. The governing equation and the associated boundary condition are derived based on Hamilton’s principle. In order to solve the derived equation numerically, the assumed modes method is utilized. In the free axial vibration section, the first three natural frequencies are obtained for the various values of the nonlocal parameter. The results are in good agreement in comparison with another study. The fundamental natural frequencies with respect to the nonlocal parameter of the case study as a semiconducting nanotube with boron nitride nanotube (BNNT) as a semiconducting nanotube and SWCNT (5,5) as a metallic nanotube are compared. The effects of the nonlocal parameter, thickness and ratio of the excitation-to-natural frequencies overtime on dimensional and nondimensional axial displacements are studied.

Download Full-text