Mohamed Reda Ali Mohamed
Asst. Professor
Vibration analysis of double-walled carbon nanotubes based on Timoshenko beam theory and wave propagation approach
• 2023
Publication Information
Authors
Emad Ghandourah
1,2
3
,
Essam Mohammed Banoqitah
, Muzamal Hussain
, Amien Khadimallah
4
, Abdulsalam Alhawsawi
1,2
1,2
and Mohamed R. Ali
5,6
Keywords
beams theory; continuum model; micro/nano tubes; natural frequencies; vibrational modes; vibration structure
Journal
Not Available
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
Abstract. This paper concerned with the vibration of double walled carbon nanotubes (CNTs) as continuum model based on
Timoshenko-beam theory. The vibration solution obtained from Timoshenko-beam theory provides a better presentation of
vibration structure of carbon nanotubes. The natural frequencies of double-walled CNTs against half axial wave mode are
investigated. The frequency decreases on decreasing the half axial wave mode. The shape of frequency arcs is different for
various lengths. It is observed that model has produced lowest results for C-F and highest for C-C. A large parametric study is
performed to see the effect of half axial wave mode on frequencies of CNTs. This numerically vibration solution delivers a
benchmark results for other techniques. The comparison of present model is exhibited with previous studies and good agreement
is found.
Timoshenko-beam theory. The vibration solution obtained from Timoshenko-beam theory provides a better presentation of
vibration structure of carbon nanotubes. The natural frequencies of double-walled CNTs against half axial wave mode are
investigated. The frequency decreases on decreasing the half axial wave mode. The shape of frequency arcs is different for
various lengths. It is observed that model has produced lowest results for C-F and highest for C-C. A large parametric study is
performed to see the effect of half axial wave mode on frequencies of CNTs. This numerically vibration solution delivers a
benchmark results for other techniques. The comparison of present model is exhibited with previous studies and good agreement
is found.