Thermoelastic damping of a double-walled carbon nanotube under electrostatic force

The quality factor of thermoelastic damping (TED) in a double-walled carbon nanotube (DWNT) under electrostatic actuation is obtained through an analytical method. Each layer of the DWNT is modelled as an Euler Bernouli beam with simply supported boundary conditions. The DWNT is under electrostatic actuation, and van der Waals forces act between layers. The motion equations, coupled with heat equations, are obtained using the Newton´s second law, and are then solved using the strained parameter perturbation method. After solving the equations, the presented approach is implemented for a numerical example. The effect of nanotube length and the applied DC voltage on the quality factor of TED are investigated. The quality factor is also studied for different vibration modes of the DWNT. It is shown that shorter DWNTs under higher DC voltages have lower quality factors of TED.