Mechanics of Nanoscaled Oscillators
Based on the results of Zheng et al. (2002), the shorter the inner core nanotube, the higher is the frequency. As a result, instead of using multi-walled carbon nanotubes, Liu et al. (2005) investigated the high frequencies generated by using a C60 fullerene that is oscillating inside a single-walled carbon nanotube. Furthermore, in contrast to the multi-walled carbon nanotube oscillator, the C60-nanotube oscillator tends not to su£er from a rocking motion, as a consequence of the reduced frictional e£ect. While Qian et al. (2001) and Liu et al. (2005) use molecular dynamics simulations to study this problem, this chapter employs elementary mechanical principles to provide models for the C60-single-walled carbon nanotube, doublewalled carbon nanotubes, and single-walled carbon nanotubenano-bundle oscillators. ™e oscillatory behavior of these systems is investigated by utilizing the continuum approximation arising from the assumption that the discrete atoms can be smeared across each surface. ™e chapter provides a synopsis of the work of the authors appearing in Baowan and Hill (2007), Baowan et al. (2008), Cox et al. (2007a-c, 2008), Hilder and Hill (2007), and ™amwattana and Hill (2008).