On the nonlinear vibration and static deflection problems of actuated hybrid nanotubes based on the stress-driven nonlocal integral elasticity: On the nonlinear vibration and static deflection problems of actuated hybrid nanotubes based on the stress-driven nonlocal integral elasticity

Hassen M. Ouakad, Ali Valipour, Krzysztof Kamil Żur, Hamid M. Sedighi*, J. N. Reddy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Article number103532
JournalMechanics of Materials
Volume148
DOIs
Publication statusPublished - Sep 1 2020
Externally publishedYes

Keywords

  • Actuated hybrid nanotube
  • Magnetic field
  • Maximum deflections
  • Nonlinear vibrations
  • Stress-driven integral elasticity
  • Thermal environment

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Mechanics of Materials

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