Vibration analysis of carbon nanotubes based on cylindrical shell by inducting Winkler and Pasternak foundations

ABSTRACT

In this article, vibration analysis of single-walled carbon nanotubes (SWCNTs) based on Love's thin shell theory has been investigated along with five sort of boundary conditions (S-S), (C-C), (C-F), (C-Sl), and (F-S). Three different shapes such as Armchair, Zigzag, and Chiral are taken into account under the influence of Winkler and Pasternak foundations. The wave propagation approach is employed to formulate the eigenvalue problem. MATLAB software package in used to obtain the vibrational natural frequencies of SWCNTs. The axial modal dependence is measured by the complex exponential functions implicating the axial modal numbers.

KEYWORDS:

• Vibration
• carbon nanotubes
• Winkler and Pasternak effects
• love’s thin shell theory
• natural frequency