Vibratory Analysis of a Doubly Clamped Wavy Single Walled Carbon Nanotube based Nano Mechanical Sensors

In this paper the vibration signature of single walled carbon nano tube (SWCNT) with waviness along its axis which is doubly clamped at a source and a drain and is used to represent a single mode resonator has been analyzed. In most of previous study, experimentally measured resonance frequencies of CNTs along with classical beam theory for straight beams CNT have used. However, from photo micrographic images of CNTs, it is clear that they are not straight, and that they have some significant surface deviation like waviness or curvature associated with them. In the present study; the vibration response analysis of carbon nanotubes with waviness treated as thin shells has been done. The results showed the sensitivity of the SWCNT having different waviness to different masses (attached at the centre of a doubly clamped SWCNT) and different lengths. The sensitivity of resonant frequency shifts to tube length and waviness have been demonstrated. This study explores the effect of waviness on the mass sensitivity of a nano mechanical resonator.