Parametric resonances in electrostatically interacting carbon nanotube arrays

TL;DR

This paper investigates how electrostatic interactions in a one-dimensional array of carbon nanotube resonators influence parametric resonances, revealing complex mode couplings and stability effects through numerical and analytical methods.

Contribution

It introduces a combined numerical and analytical model for electrostatically coupled nanotube arrays, highlighting the emergence of transverse and longitudinal parametric resonances.

Findings

Electrostatic interactions enable multiple parametric resonances.

Mode coupling occurs between orthogonal directions due to electrostatics.

Intertube interactions influence mode stability and resonance behavior.

Abstract

We study, numerically and analytically, a model of a one-dimensional array of carbon nanotube resonators in a two-terminal configuration. The system is brought into resonance upon application of an AC-signal superimposed on a DC-bias voltage. When the tubes in the array are close to each other, electrostatic interactions between tubes become important for the array dynamics. We show that both transverse and longitudinal parametric resonances can be excited in addition to primary resonances. The intertube electrostatic interactions couple modes in orthogonal directions and affect the mode stability.