Open AccessModelling carbon nano-tubes dynamical behaviour via nonlocal theory – free vibrations and dispersion relations
Author(s) -
Aleksander Muc
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1603/1/012004
Subject(s) - nanoshell , vibration , carbon nanotube , dispersion relation , displacement (psychology) , equivalence (formal languages) , normal mode , materials science , dispersion (optics) , nano , extension (predicate logic) , carbon fibers , classical mechanics , mechanics , physics , nanotechnology , mathematics , condensed matter physics , composite material , optics , nanoparticle , computer science , acoustics , pure mathematics , psychology , composite number , psychotherapist , programming language
In the present paper the influence of non-local gradient formulations on the dynamical behaviour (free vibrations and dispersion relations) of carbon nanotubes analysed with the use of 2D shell theory is discussed. At the beginning the compact, consistent approach to the nonlocal (the Mindlin-Tiersten theory) description of 2D carbon nanoshells is shown. The presented results demonstrate the equivalence of free vibration analysis to the normal displacement mode (RBM) of carbon nanoshells. The possible extension of the presented formulations are also discussed.