سید احسان حبیبی

Vibration at nanoscale has found several applications in recent years. This paper is focused on the vibrating carbon nanotube (CNT) as a precise nano mass sensor. Molecular mechanics (MM) simulation have shown good accuracy in modeling the physical behaviors at nanoscale. Therefore, this method is used to predict the actual mechanical characteristics of a vibrating CNT. Furthermore, the ability of continuum mechanics based models including the classical and the nonlocal models to predict the behavior of nanosensors is investigated. The general governing equations of a vibrating CNT under the coupled transverse and torsional vibrations is derived using the extended Hamilton principle. The Galerkin method is used to solve the equations. Accordingly, the model with the better accuracy is used to explore the vibrational characteristics of CNT based nanosensor. The results showed that nonlocal continuum mechanics have problems in predicting the exact mechanical response. Therefore, the classical model, is used to investigate the performance of the nanosensor and it is shown that in some cases the nanosensor have higher performance in the second mode. Furthermore, it is shown that despite of severe discrepancy of the previously reported values for mechanical material and geometrical properties of CNTs, the continuum model can still precisely follow the MM results if corresponding thickness and elasticity constants are used.