TY - JOUR
ID - 673115
TI - Analysis of Nonlinear Vibrations of Slightly Curved Tripled-Walled Carbon Nanotubes Resting on Elastic Foundations in a Magneto-Thermal Environment
JO - Journal of Solid Mechanics
JA - JSM
LA - en
SN - 2008-3505
AU - Sobamowo, M.G
AU - Akanmu, J.O
AU - Adeleye, O.A
AU - Yinusa, A.A
AD - Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria
AD - Department of Civil and Environmental Engineering, University of Lagos, Akoka, Lagos, Nigeria
AD - Department of System Engineering, University of Lagos, Akoka, Lagos, Nigeria
Y1 - 2020
PY - 2020
VL - 12
IS - 2
SP - 297
EP - 314
KW - Multi-walled carbon nanotubes
KW - Magnetic and thermal environment
KW - Nonlocal elastic theory
KW - Small-scale effects
KW - Winkler and Pasternak foundations
DO - 10.22034/jsm.2019.579261.1414
N2 - In this work, nonlocal elasticity theory is applied to analyze nonlinear free vibrations of slightly curved multi-walled carbon nanotubes resting on nonlinear Winkler and Pasternak foundations in a thermal and magnetic environment. With the aid of Galerkin decomposition method, the systems of nonlinear partial differential equations are transformed into systems of nonlinear ordinary differential equations which are solved using homotopy perturbation method. The influences of elastic foundations, magnetic field, temperature rise, interlayer forces, small scale parameter and boundary conditions on the frequency ratio are investigated. It is observed form the results that the frequency ratio for all boundary conditions decreases as the number of walls increases. Also, it is established that the frequency ratio is highest for clamped-simple supported and lowest for clamped-clamped supported. Further investigations on the controlling parameters of the phenomena reveal that the frequency ratio decreases with increase in the value of spring constant (k1) temperature and magnetic field strength. It is hoped that this work will enhance the applications of carbon nanotubes in structural, electrical, mechanical and biological applications especially in a thermal and magnetic environment.
UR - http://jsm.iau-arak.ac.ir/article_673115.html
L1 - http://jsm.iau-arak.ac.ir/article_673115_15e5b8f1ce9adea19c40ac08397ef247.pdf
ER -