Free vibration of anisotropic single-walled carbon nanotube based on couple stress theory for different chirality

Abstract

In the present work, using the couple stress theory, a new model is provided for vibrating behavior of anisotropic carbon nanotubes. Carbon nanotubes have many applications, and careful analysis of their behavior is important. So far, using the isotropic models, several studies have been conducted on carbon nanotube vibration. According to the arrangement of carbon atoms on the nanotube walls, their properties will be different in various directions. Therefore, the behavior of carbon nanotubes must be considered as anisotropic materials. In this article, initially, using the Hamilton's principle, motion equations, and boundary conditions of carbon nanotubes are extracted based on couple stress theory. Afterwards, the equations are solved using the analytical solution method. In the results section, the effect of different parameters, particularly the anisotropic effect, on the carbon nanotube natural frequency is investigated.

Size-dependent vibration analysis of graphene-PMMA lamina based on non-classical continuum theory

“…Besides, the relationship between higher-order stress and rotation gradient is defined as follows [45][46][47]:…”

“…Some scholars using the anisotropic couple stress theory have studied the mechanical behavior of anisotropic structures. Tadi et al [46,47] studied free vibration and buckling of CNT based on anisotropic size dependent shell model. Gao et al [48] benefitting anisotropic couple stress model studied the static deformation of layered magneto electroelastic plates under surface loading.…”

Fault diagnosis of bearing based on the kernel principal component analysis and optimized k-nearest neighbour model

“…Identifying the bearing fault level by vibration signal analysis is important for rotating machine, as it can avoid the downtime and ensure high productivity of the machine. 1–3…”