Abstract
The effect of length difference on oscillation and rotation of the inner tube in a double-walled carbon nanotube (DWNT) is investigated. In the analysis, the inner tubes of the DWNTs are assumed to be of the same length but the length of the outer tubes may be different from that of inner tubes. Further, the outer tube is entirely fixed after adequate relaxation at 300 K and the inner tube is unconstrained and can move freely in the outer tube. In the simulations, each bi-tube system initially has a symmetric cross-section, and the inner tube oscillates while rotating along its own axis. The dynamic behavior studied includes oscillation and rotation of the inner tubes. The oscillation decreases along with an increase in the length difference. A greater length difference between the two tubes in a bi-tube system leads to a smaller amplitude of oscillation of mass center of the inner tube (MCIT) and a higher self-rotating speed. Moreover, the inner tube in a bi-tube with different chirality of the two tubes may have different self-rotational directions.
Highlights
Besides axial gigahertz oscillator, double-walled carbon nanotube (DWNT) and multi-walled carbon nanotubes (MWNTs) are widely used as nano resonator with radial vibrational function
If the length of outer tube is far less than that of the inner tube, as in the bi-tubes in Figure 2d, the mass center of the inner tube (MCIT) usually stays at one side of the symmetric plane of the outer tube and the oscillating amplitude of MCIT tends to be very small
It is uncertain at which side of the symmetric plane of the outer tube the MCIT will stay (see Fig. 2, the MCIT is at the upper side for cases (b) and (d), and at the lower side for case (c))
Summary
DWNTs and MWNTs are widely used as nano resonator with radial vibrational function. Investigations on this topic have been conducted both theoretically [15,16,17] and experimentally [18, 19]. The above studies show that the oscillatory behavior of MWNTs depends basically on two factors: one is the friction between adjacent walls; the other is the end-effect, i.e., the attraction at the ends of outer tubes to the inner tube(s). End-effect plays an important role in the dynamic properties of CNTs. To our knowledge, no accurate continuum mechanics solution is available in the literature for DWNTs with different lengths between inner and outer tubes. We will present a systematic study of the length-difference effect of DWNTs on their oscillatory and rotational behavior using MD method
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
