The aim of this work is to study the linear free transverse vibrations of a simply supported (S-S) single-walled carbon nanotube (SWCNT) resting on a Winkler foundation and subjected to a low-temperature thermal field. After determining the linear equation governing the beam’s transverse motion, boundary conditions were introduced to obtain a homogeneous system whose eigenvalues were determined using the Newton–Raphson algorithm. To assess the accuracy of this method, examples of the results obtained are compared with those available in the literature. In this study, the effects of the nanotube’s small scale, the Winkler parameter, and the thermal load on linear natural frequencies have been taken into account.

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Analysis of the Transverse Vibrations of a Carbon Nanotube Resting on a Winkler Foundation Subjected to Low-Temperature Thermal Load

  • El Kouchi Echouai,
  • Ahmed Adri,
  • Omar Outassafte,
  • Yassine El Khouddar,
  • Issam El Hantati,
  • Rhali Benamar

摘要

The aim of this work is to study the linear free transverse vibrations of a simply supported (S-S) single-walled carbon nanotube (SWCNT) resting on a Winkler foundation and subjected to a low-temperature thermal field. After determining the linear equation governing the beam’s transverse motion, boundary conditions were introduced to obtain a homogeneous system whose eigenvalues were determined using the Newton–Raphson algorithm. To assess the accuracy of this method, examples of the results obtained are compared with those available in the literature. In this study, the effects of the nanotube’s small scale, the Winkler parameter, and the thermal load on linear natural frequencies have been taken into account.