Torsional vibration analysis of double walled carbon nanotubes using nonlocal elasticity
- PDF / 2,323,123 Bytes
- 14 Pages / 547.087 x 737.008 pts Page_size
- 47 Downloads / 186 Views
Torsional vibration analysis of double walled carbon nanotubes using nonlocal elasticity Metin Aydogdu • Mustafa Arda
Received: 4 October 2014 / Accepted: 6 December 2014 Ó Springer Science+Business Media Dordrecht 2014
Abstract In the present study, the torsional vibration behavior of double walled carbon nanotubes (DWCNTs) is investigated using nonlocal elasticity theory. The effects of van der Waals Force interaction, nanotube length and nonlocal parameter are studied in detail. Two frequency set are obtained for DWCNTs 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 nano electromechanical systems like nanobearings and rotary servomotors. Keywords Torsional vibration Double walled Carbon nanotubes Nonlocal elasticity
1 Introduction Carbon nanotubes (CNTs) have been discovered by (Iijima 1991) which have superior physical properties like; good electrical conductivity, high mechanical strength etc. Scientists and engineers have thought to use CNTs in many areas like sensor technologies, nano-mechanical components, electromechanical
M. Aydogdu (&) M. Arda Department of Mechanical Engineering, Faculty of Engineering, Trakya University, 22030 Edirne, Turkey e-mail: [email protected]; [email protected]
systems, etc. Nowadays, CNTs are very popular topic for researchers. Different modelling techniques are used for CNTs. The molecular dynamic (MD) Simulations can be used for small scale structures and short time intervals. The Continuum Model can be used as an alternative, although it is not size dependent. Firstly, Eringen (1972; 1983) proposed the stress gradient type nonlocal continuum theory in which assumed that stress at a reference point is the function of the strain field at every point of the continuum. Peddieson et al. (2003), Wang and Liew (2007), Ghannadpour et al. (2013) have analized nano beams by using the different nonlocal beam theories. Aydogdu (2009a) developed a general nonlocal beam theory which contains the former beam theories as special case. Fazelzadeh and Ghavanloo (2012) used a nonlocal anisotropic shell model to study vibration of single walled carbon nanotubes (SWCNTs) with arbitrary chirality. Vibration of CNTs, nanobeams and nanorods are also studied in previous studies (Aydogdu 2009b). Torsional vibration of CNTs is important for the nano electromechanical devices like rotary nano servomotors and bearings. This topic is considered in some of the previous studies. Dong et al. (2005) have investigated nanoscale linear servomotors with integrated position sensing from experimental, theoretical and design perspectives. Hall et al. (2012) have reviewed major results of advances in fabrication of CNTs which allows measuring mechanical and
123
M. Aydogdu, M. Arda
electrical response to twisting force. Selim (2010) has examined the torsional vibration of SWCNTs subjected to initial compression stress. Gheshlaghi et al. (2010) studied torsional vibration of CNTs
Data Loading...
