Modeling Carbon-Nanotube-Based Nano-Electro-Mechanical Systems for Application in Mass Detection Sensors
Online First: 29/05/2026
Corressponding author's email:
daimd@hcmute.edu.vnDOI:
https://doi.org/10.54644/jte.2026.2294Keywords:
Nano-electro-mechanical systems, Coupled field finite element method, Electrostatic tuning, Carbon-nanotube resonator, Pull in instabilityAbstract
Carbon nanotube-based nano-electro-mechanical systems (NEMS) have emerged as highly promising platforms for ultrasensitive mass detection and nanoscale signal processing. This paper presents a comprehensive investigation of the resonance behavior, tunability, and instability thresholds of such devices under electrostatic actuation and mass loading. A coupled electro-mechanical finite-element model is developed, wherein the nanotube is represented by shell elements, electrostatic actuation is modeled via reduced-order transducer elements, and adsorbed particles are introduced through lumped mass elements. The proposed model is rigorously validated against beam-theory results and published molecular-dynamics data, yielding mean errors of 1.02%-2.39%. Parametric studies demonstrate strong voltage tuning; for a baseline device, the fundamental frequency rises significantly from 549.28 MHz (0 V) to 2108.1 MHz (60 V). Furthermore, the analysis reveals a geometry-dependent pull-in limit and confirms that mass adsorption causes a commensurate reduction in resonant frequency. Geometrically nonlinear analysis also predicts a higher instability threshold compared to linear models. Ultimately, these findings validate a compact and effective design framework for optimizing CNT geometry and bias conditions in tunable NEMS mass sensors.
Downloads: 0
References
K. Eom, H. S. Park, D. S. Yoon, and T. Kwon, "Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles," Phys. Rep., vol. 503, pp. 115–163, 2011. DOI: https://doi.org/10.1016/j.physrep.2011.03.002
T. Kwon, K. Eom, J. Park, D. S. Yoon, H. L. Lee, and T. S. Kim, "Micromechanical observation of the kinetics of biomolecular interactions," Appl. Phys. Lett., vol. 93, art. 173904, 2008. DOI: https://doi.org/10.1063/1.3006329
T. Kwon, J. Park, J. Yang, D. S. Yoon, S. Na, C. W. Kim, et al., "Nanomechanical in-situ monitoring of proteolysis of peptide by cathepsin B," PLoS ONE, vol. 4, art. e6248, 2009. DOI: https://doi.org/10.1371/journal.pone.0006248
K. S. Hwang, K. Eom, J. H. Lee, D. W. Chun, B. H. Cha, D. S. Yoon, et al., "Dominant surface stress driven by biomolecular interactions in the dynamical response of nanomechanical microcantilevers," Appl. Phys. Lett., vol. 89, art. 173905, 2006. DOI: https://doi.org/10.1063/1.2372700
C. H. Ke, H. D. Espinosa, and N. Pugno, "Numerical analysis of nanotube-based NEMS devices — Part II: Role of finite kinematics, stretching and charge concentrations," J. Appl. Mech., vol. 72, pp. 726–731, 2005. DOI: https://doi.org/10.1115/1.1985435
M. Zheng, K. Eom, and C. Ke, "Calculations of the resonant response of carbon nanotubes to binding of DNA," J. Phys. D: Appl. Phys., vol. 42, art. 145408, 2009. DOI: https://doi.org/10.1088/0022-3727/42/14/145408
M. Choi, K. Eom, K. Gwak, M. D. Dai, A. Olshevskiy, and C.-W. Kim, "Dynamical response of multi-walled carbon nanotube resonators based on continuum mechanics modelling for mass sensing applications," J. Mech. Sci. Technol., vol. 31, pp. 2385–2391, 2017. DOI: https://doi.org/10.1007/s12206-017-0435-3
J. Yoon, C. Q. Ru, and A. Mioduchowski, "Vibration of an embedded multiwall carbon nanotube," Compos. Sci. Technol., vol. 63, pp. 1533–1542, 2003. DOI: https://doi.org/10.1016/S0266-3538(03)00058-7
C. Q. Ru, "Effective bending stiffness of carbon nanotubes," Phys. Rev. B, vol. 62, pp. 9973–9976, 2000. DOI: https://doi.org/10.1103/PhysRevB.62.9973
X. Q. He, S. Kitipornchai, and K. M. Liew, "Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction," J. Mech. Phys. Solids, vol. 53, pp. 303–326, 2005. DOI: https://doi.org/10.1016/j.jmps.2004.08.003
C. M. Wang, V. B. C. Tan, and Y. Y. Zhang, "Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes," J. Sound Vib., vol. 294, pp. 1060–1072, 2006. DOI: https://doi.org/10.1016/j.jsv.2006.01.005
B. Lassagne, D. Garcia-Sanchez, A. Aguasca, and A. Bachtold, "Ultrasensitive mass sensing with a nanotube electromechanical resonator," Nano Lett., vol. 8, pp. 3735–3738, 2008. DOI: https://doi.org/10.1021/nl801982v
K. Jensen, K. Kim, and A. Zettl, "An atomic-resolution nanomechanical mass sensor," Nat. Nanotechnol., vol. 3, pp. 533–537, 2008. DOI: https://doi.org/10.1038/nnano.2008.200
J. Chaste, A. Eichler, J. Moser, G. Ceballos, R. Rurali, and A. Bachtold, "A nanomechanical mass sensor with yoctogram resolution," Nat. Nanotechnol., vol. 7, pp. 301–304, 2012. DOI: https://doi.org/10.1038/nnano.2012.42
ANSYS Inc., ANSYS Mechanical APDL Theory Reference (Release 2023 R1) — SHELL181, TRANS126, MASS21 element formulations, Canonsburg, PA, USA, 2023.
A. C. Eringen, "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves," J. Appl. Phys., vol. 54, pp. 4703–4710, 1983. DOI: https://doi.org/10.1063/1.332803
M. Dequesnes, S. V. Rotkin, and N. R. Aluru, "Calculation of pull-in voltages for carbon-nanotube-based nanoelectromechanical switches," Nanotechnology, vol. 13, pp. 120–131, 2002. DOI: https://doi.org/10.1088/0957-4484/13/1/325
P. Chen, B. Peng, L. Ding, W. H. Xu, and Y. Q. Wang, "Simulation of singly and doubly clamped nanotube-based NEMS devices," in Proc. ASME 2009 Int. Design Engineering Technical Conf., San Diego, CA, USA, 2009.
Downloads
Published
How to Cite
License
Copyright (c) 2026 Journal of Technical Education Science

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright © JTE.


