Analysis on mass sensing characteristics of SWCNT-based nano-mechanical resonators using continuum mechanics based finite element analysis

Abstract

In this study, we used the Finite element method (FEM) based on continuum mechanics, instead of molecular dynamics, to design and analyze an ultra-small mass nanomechanical sensor using Single wall carbon nanotube (SWCNT). We tested the validity of the FEM modeling technique based on continuum mechanics by comparing its analysis results with those of molecular dynamics modeling. After developing an elastic continuum shell model having an effective thickness, Young’s modulus, and Poisson’s ratio, we proved the superiority of the implemented analysis technique by comparing its resonance frequency with that of the molecular dynamics model. Additionally, using the developed model, we established various design parameters for a resonator and observed the parameter-dependent changes in frequency characteristics of the resonator.