Nonlocal Anisotropic Shell Model of Linear Vibrations of Multi-walled Carbon Nanotubes

• Date: 2020
• Main Authors: Avramov, Kostiantyn V., Kabylbekova, Balzhan N., Seitkazenova, Kazira K., Myrzaliyev, Darkhan S., Pecherskiy, Vladimir N.
• Format: Article
• Language: English; Russian
• Published: Journal of Mechanical Engineering 2020
• Subjects: нанотрубка; оболонкова теорія Сандерса–Коітера; сили Ван-дер-Ваальса; нелокальна пружність; УДК 53; 002; оболочечная модель Сандерса-Коитера; силы Ван-дер-Ваальса; нелокальная упругость; nanotube; Sanders-Koiter shell model; Van der Waals forces; nonlocal elasticity; UDC 53
• Online Access: https://journals.uran.ua/jme/article/view/198995
• Journal Title: Journal of Mechanical Engineering

A simply-supported multi-walled carbon nanotube (MWCNT) is considered. Its vibrations will be studied in a cylindrical coordinate system. The elastic constants in Hooke's law depend on the CNT wall diameter, which is why each wall has its own elastic constants. CNT vibrations are described by t...