Torsional vibration of double CNT system embedded in an elastic medium

The torsional vibration analysis of double carbon nanotube system (CNT system) is carried out in the present work. Carbon nanotubes are connected to each other with elastic matrix material. Eringen’s Nonlocal Elasticity Theory is used in modeling of the system. The effects of nonlocal parameter and stiffness of elastic medium to the non-dimensional frequencies of the system are investigated in detail. Two frequency set are obtained for double carbon nanotube system for a given half wave number. It is also shown that some mode shapes are anti-phase and some of them are in-phase. The present results can be useful in design of nanoelectromechanical systems like rotary servomotors