Nonlocal stability of curved carbon nanotubes conveying fluid based on Eringen’s nonlocal elasticity theory in a thermomagnetic environment

Curved carbon nanotubes (CCNT) can exhibit both in-plane and out-of-plane vibrations, and their curvature can give rise to additional vibrational modes. The vibrational modes of CCNT can be influenced by various factors, including diameter, chirality and curvature. In this study, in-plane and out-of...

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Bibliographic Details
Published in:Acta mechanica 2024-07, Vol.235 (7), p.4273-4287
Main Authors: Ramezani, Hossein, Haji Ali Koohpayeh, Majid, Tajedini, Alireza, Ramezani, Ghazaleh, Mohseni, Amirhossein
Format: Article
Language:English
Subjects:
Beam theory (structures)
Boundary conditions
Carbon nanotubes
Classical and Continuum Physics
Control
Conveying
Critical flow
Curvature
Dynamical Systems
Elastic media
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Equations of motion
Euler-Bernoulli beams
Flow velocity
Heat and Mass Transfer
Magnetic flux
Mathematical analysis
Nonlocal elasticity
Original Paper
Parameters
Resonant frequencies
Solid Mechanics
Stability
Theoretical and Applied Mechanics
Vibration
Vibration mode
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Summary:Curved carbon nanotubes (CCNT) can exhibit both in-plane and out-of-plane vibrations, and their curvature can give rise to additional vibrational modes. The vibrational modes of CCNT can be influenced by various factors, including diameter, chirality and curvature. In this study, in-plane and out-of-plane vibration and stability of CCNT conveying fluid are carried out using nonlocal elasticity and Euler–Bernoulli beam theory. Additionally, to improve the system's stability, a model of Kelvin–Voigt has been used to form an enclosed elastic medium. The inextensibility of the tube is assumed to extract the in-plane and out-of-plane nonlocal equations of motion and boundary conditions, solved by a numerical solution to obtain the natural frequencies of the CCNT. The purpose of this study is to investigate the influence of different parameters, including nonlocal parameters, temperature changes, magnetic field intensity and fluid velocity on the in-plane and out-of-plane stability of CCNT. The results show that the critical flow velocity decreases by increasing the thermal loading through which the stable zone is reduced. Also, by comparing the stable zone of the classic and nonlocal continuum theories, one can conclude that the largest stable zone is associated with the nonlocal elasticity.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-024-03938-7