TY - JOUR
T1 - On the nonlinear vibration and static deflection problems of actuated hybrid nanotubes based on the stress-driven nonlocal integral elasticity
T2 - On the nonlinear vibration and static deflection problems of actuated hybrid nanotubes based on the stress-driven nonlocal integral elasticity
AU - Ouakad, Hassen M.
AU - Valipour, Ali
AU - Kamil Żur, Krzysztof
AU - Sedighi, Hamid M.
AU - Reddy, J. N.
N1 - Funding Information:
The second and fourth authors are grateful to the Research Council of Shahid Chamran University of Ahvaz for its financial support.
Funding Information:
The part of research of the third author was conducted within W/WM-IIM/3/2020 project and was financed by the funds of the Ministry of Science and Higher Education , Poland.
Publisher Copyright:
© 2020 Elsevier Ltd
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/9
Y1 - 2020/9
N2 - In the present paper, the effects of material properties, nonlocal parameter, Lorentz and electric forces on maximum static deflections and natural frequencies of actuated hybrid carbon/boron-nitride nanotubes (CBNNT) subjected to thermal loads are studied for the first time. The displacement field of the nanotube satisfies assumptions of the Bernoulli–Euler beam theory. The Green-Lagrange small strains and moderate rotations for geometric nonlinearity of the nanotube are taken into consideration. Two nonlinear governing equations of motion for carbon and boron-nitride parts of the clamped nanotube are derived using the d'Alembert principle and the stress-driven nonlocal integral elasticity theory. Solution to the formulated nonlinear boundary value problem was obtained using the Galerkin modal expansion method. Validation of obtained results and parametric study are comprehensively presented. Obtained results show effect of variation of temperature, nonlocal parameter, ratio of length of carbon and boron-nitride components, direct current (DC) and alternating current (AC) voltages on shifting of the fundamental frequency and maximum deflection of hybrid nanotube.
AB - In the present paper, the effects of material properties, nonlocal parameter, Lorentz and electric forces on maximum static deflections and natural frequencies of actuated hybrid carbon/boron-nitride nanotubes (CBNNT) subjected to thermal loads are studied for the first time. The displacement field of the nanotube satisfies assumptions of the Bernoulli–Euler beam theory. The Green-Lagrange small strains and moderate rotations for geometric nonlinearity of the nanotube are taken into consideration. Two nonlinear governing equations of motion for carbon and boron-nitride parts of the clamped nanotube are derived using the d'Alembert principle and the stress-driven nonlocal integral elasticity theory. Solution to the formulated nonlinear boundary value problem was obtained using the Galerkin modal expansion method. Validation of obtained results and parametric study are comprehensively presented. Obtained results show effect of variation of temperature, nonlocal parameter, ratio of length of carbon and boron-nitride components, direct current (DC) and alternating current (AC) voltages on shifting of the fundamental frequency and maximum deflection of hybrid nanotube.
KW - Actuated hybrid nanotube
KW - Magnetic field
KW - Maximum deflections
KW - Nonlinear vibrations
KW - Stress-driven integral elasticity
KW - Thermal environment
UR - http://www.scopus.com/inward/record.url?scp=85087772257&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85087772257&partnerID=8YFLogxK
U2 - 10.1016/j.mechmat.2020.103532
DO - 10.1016/j.mechmat.2020.103532
M3 - Article
AN - SCOPUS:85087772257
SN - 0167-6636
VL - 148
JO - Mechanics of Materials
JF - Mechanics of Materials
M1 - 103532
ER -