Telescopic oscillations of double-walled carbon nanotubes in the presence of an inner semi-infinite tube

Telescopic oscillation of nested carbon nanotubes is capable of generating GHz frequency. A main challenge against their practical applications is how to control and tune such oscillations. In this paper, we demonstrate that by displacing the tip of a semi-infinite tube inside a conventional double-walled oscillatory system, we can change the vdW force distribution acting on the oscillating tube. By changing this distribution, the dynamics of the system is altered; hence, the oscillations are retuned. The positioning of the tip can be controlled externally by moving its other end. The proposed mechanism provides a solution to control and tune this type of oscillatory systems during the course of oscillations. Concerning the different system parameters (i.e. geometrical parameters and initial conditions), we perform a thorough study to reveal how the oscillatory frequency will change by moving the tip of the semi-infinite tube.