Open AccessEffect of length and thickness variations on the vibration of SWCNTs based on Flügge's shell model
Author(s) -
Hussain Muzamal,
Nawaz Naeem Muhammad,
Taj Muhammad
Publication year - 2020
Publication title -
micro and nano letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.25
H-Index - 31
ISSN - 1750-0443
DOI - 10.1049/mnl.2019.0309
Subject(s) - zigzag , vibration , carbon nanotube , matlab , radius , shell (structure) , materials science , work (physics) , natural frequency , mechanics , structural engineering , physics , acoustics , computer science , composite material , mathematics , engineering , geometry , thermodynamics , computer security , operating system
This work aims to investigate the vibration of the zigzag and chiral single‐wall carbon nanotubes (SWCNTs) based on Flügge shell theory considering the clamped‐simply supported, clamped‐free, clamped‐clamped and simply supported‐simply supported end conditions. After developing the governing equation of the objective system, the wave propagation approach is implemented for the purpose of obtaining the frequency equation in the eigen form for vibration of the considered system. In addition, the applicability of this model for the analysis of vibration of carbon nanotube is examined with the effect of length and ratio of height‐to‐radius. To generate the fundamental natural frequencies of SWCNTs, computer software MATLAB engaged. The numerical results are validated with existing open text. Since the percentage of error is negligible, the model has been concluded as valid.