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Dynamical response of multi-walled carbon nanotube resonators based on continuum mechanics modeling for mass sensing applications

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Abstract

Carbon nanotube (CNT) has recently received much attention due to its excellent electromechanical properties, indicating that CNT can be employed for development of Nanoelectromechanical system (NEMS) such as nanomechanical resonators. For effective design of CNT-based resonators, it is required to accurately predict the vibration behavior of CNT resonators as well as their frequency response to mass adsorption. In this work, we have studied the vibrational behavior of Multi-walled CNT (MWCNT) resonators by using a continuum mechanics modeling that was implemented in Finite element method (FEM). In particular, we consider a transversely isotropic hollow cylinder solid model with Finite element (FE) implementation for modeling the vibration behavior of Multi-walled CNT (MWCNT) resonators. It is shown that our continuum mechanics model provides the resonant frequencies of various MWCNTs being comparable to those obtained from experiments. Moreover, we have investigated the frequency response of MWCNT resonators to mass adsorption by using our continuum model with FE implementation. Our study sheds light on our continuum mechanics model that is useful in predicting not only the vibration behavior of MWCNT resonators but also their sensing performance for further effective design of MWCNT-based NEMS devices.

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References

  1. S. lijima, Helical microtubules of graphitic carbon, Nature (London), 354 (1991) 56–58.

    Article  Google Scholar 

  2. D. Qian et al., Mechanics of carbon nanotubes, Appl. Mech. Rev., 55 (2002) 495–533.

    Article  Google Scholar 

  3. M. M. J. Treacy et al., Exceptionally high Young’s modulus abserved for individual carbon nanotubes, Nature, 381 (1996) 678–680.

    Article  Google Scholar 

  4. H. Dai et al., Nanotubes as nanoprobes in scanning probe microscopy, Nature, 384 (1996) 147–150.

    Article  Google Scholar 

  5. T. Rueckes et al., Carbon Nanotube-based nonvolatile random access memory for molecular computing, Science, 289 (2000) 94–97.

    Article  Google Scholar 

  6. P. Kim and C. M. Lieber, Nanotube Nanotweezers, Science, 286 (1999) 2148.

    Article  Google Scholar 

  7. A. M. Fennimore et al., Rotational actuators based on carbon nanotubes, Nature, 424 (2003) 408–410.

    Article  Google Scholar 

  8. V. Sazonova et al., A tunable carbon nanotube electromechanical oscillator, Nature, 431 (2004) 284–287.

    Article  Google Scholar 

  9. H.-Y. Chiu et al., Atomic-scale mass sensing using carbon nanotube resonators, Nano Lett., 8 (2008) 4342–4346.

    Article  Google Scholar 

  10. K. Jensen et al., An atomic-resolution nanomechanical mass sensor, Nat. Nanotechnol., 3 (2008) 533–537.

    Article  Google Scholar 

  11. R. G. Knobel, Weighing single atoms with a nanotube, Nat. Nanotechnol., 3 (2008) 525–526.

    Article  Google Scholar 

  12. H. Jiang et al., Intrinsic energy loss mechanisms in a cantilevered carbon nanotube beam oscillator, Phys. Rev. Lett., 93 (2004) 185501.

    Article  Google Scholar 

  13. Y. Zhao et al., Energy dissipation mechanisms in carbon nanotube oscillators, Phys. Rev. Lett., 91 (2003) 175504.

    Article  Google Scholar 

  14. C. Li and T.-W. Chou, Single-walled carbon nanotubes as ultrahigh frequency nanomechanical resonators, Phys. Rev. B, 68 (2003) 073405.

    Article  Google Scholar 

  15. C. Li and T.-W. Chou, Vibrational behaviors of multiwalledcarbon-nanotube-based nanomechanical resonators, Appl. Phys. Lett., 84 (2004) 121.

    Article  Google Scholar 

  16. C. Li and T.-W. Chou, Mass detection using carbon nanotube-based nanomechanical resonators, Appl. Phys. Lett., 84 (2004) 5246.

    Article  Google Scholar 

  17. E. W. Wong et al., Nanobeam mechanics elasticity, strength, and toughness of nanorods and nanotubes, Science, 277 (1997) 1971.

    Article  Google Scholar 

  18. C. F. Cornwell and L. T. Wille, Elastic properties of singlewalled carbon nanotubes in compression, Solid State Commun., 101 (1997) 555.

    Article  Google Scholar 

  19. S. Govindjee and J. L. Sackman, On the use of continuum mechanics to estimate the properties of nanotubes, Solid State Commun., 110 (1999) 227.

    Article  Google Scholar 

  20. M. D. Dai et al., Nanomechanical mass detection using nonlinear oscillations, Appl. Phys. Lett., 95 (2009) 203104.

    Article  Google Scholar 

  21. S. H. Choi et al., Analysis on mass sensing characteristics of SWCNT-based nano-mechanical resonators using continuum mechanics based finite element analysis, J. of Mech. Sci. Tech., 29 (2015) 4801.

    Article  Google Scholar 

  22. D. K. Kang et al., Thermal effects on mass detection sensitivity of carbon nanotube resonators in nonlinear oscillation regime, Physica E: Low-dimensional Sys. and Nano. Str., 74 (2015) 39.

    Article  Google Scholar 

  23. B. I. Yakobson et al., Nanomechanics of carbon tubes: instabilities beyond linear response, Phys. Rev. Lett., 76 (1996) 2511–2514.

    Article  Google Scholar 

  24. C. Q. Ru, Elastic buckling of single-walled carbon nanotube ropes under high pressure, Phys. Rev. B, 62 (2000) 10405.

    Article  Google Scholar 

  25. C. Q. Ru, Degraded axial buckling strain of multiwalled carbon nanotubes due to interlayer slips, J. Appl. Phys., 89 (2001) 3426.

    Article  Google Scholar 

  26. C. Q. Ru, Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium, J. Mech. Phys. Solids, 49 (2001) 1265.

    Article  MATH  Google Scholar 

  27. C. Q. Ru, Effective bending stiffness of carbon nanotubes, Phys. Rev. B, 62 (2002) 9973.

    Article  Google Scholar 

  28. C. Li and T.-W. Chou, Elastic moduli of multi-walled carbon nanotubes and the effect of van der Waals forces, Comput. Sci. Technol., 63 (2003) 1517–1524.

    Article  Google Scholar 

  29. J. P. Lu, Elastic properties of single and multilayered nanotubes, J. Phys. Chem Solids, 58 (1997) 1649–1652.

    Article  Google Scholar 

  30. L. Shen and J. Li, Transversely isotropic elastic properties of multiwalled carbon nanotubes, Phys. Rev. B, 71 (2005) 035412.

    Article  Google Scholar 

  31. X. B. Dai et al., Transverse elasticity of multi-walled carbon nanotubes, Eur. Phys. J. B, 54 (2006) 109–112.

    Article  Google Scholar 

  32. D. Garcia-Sanchez et al., Mechanical detection of carbon nanotube resonator vibrations, Phys. Rev. Lett., 99 (2007) 085501.

    Article  Google Scholar 

  33. K. D. Kang et al., Geometrically nonlinear dynamic behavior on detection sensitivity of carbon nanotube-based mass sensor using finite element method, Finite Elements in Ana. and Des., 126 (2017) 39–49.

    Article  Google Scholar 

  34. C. W. Kim et al., Three-dimensional solid brick element using slopes in the absolute nodal coordinate formulation, J. Comput. Nonlinear Dynamics, 9 (2013) 021001.

    Article  Google Scholar 

  35. C. W. Kim et al., Finite-size effect on the dynamic and sensing performances of graphene resonators: The role of edge stress, Beilstein Journal of Nanotechnology, 7 (2016) 685–696.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Material Science, Konkuk University, Seoul, 05029, Korea

    Myungseok Choi

  2. College of Sport Science, Sungkyunkwan University, Suwon, 16419, Korea

    Kilho Eom

  3. Department of Mechanical Engineering, Sejong University, Seoul, 05006, Korea

    Kwanwoong Gwak

  4. School of Mechanical Engineering, Ho Chi Minh City University of Technology and Education, Ho Chi Minh City, Vietnam

    Mai Duc Dai

  5. School of Mechanical Engineering, Konkuk University, Seoul, 05029, Korea

    Alexander Olshevskiy & Chang-Wan Kim

Authors
  1. Myungseok Choi
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  2. Kilho Eom
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  3. Kwanwoong Gwak
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  4. Mai Duc Dai
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  5. Alexander Olshevskiy
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  6. Chang-Wan Kim
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Corresponding author

Correspondence to Chang-Wan Kim.

Additional information

Recommended by Associate Editor Heung Soo Kim

Chang-Wan Kim received a Ph.D. in NVH analysis by newly developing Automated Multilevel Substructuring (AMLS) method from the University of Texas at Austin. AMLS is now being used in all automobile industries for NVH analysis. He previously worked in NASTRAN developer in USA and RecurDyn in Korea. He has over 90 SCI(E) paper publications along with several invited papers and presentations. Now, his research is specialized in multiphysics analysis by integrating CFD-MBD-FEM technology and its optimization.

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Choi, M., Eom, K., Gwak, K. et al. Dynamical response of multi-walled carbon nanotube resonators based on continuum mechanics modeling for mass sensing applications. J Mech Sci Technol 31, 2385–2391 (2017). https://doi.org/10.1007/s12206-017-0435-3

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  • DOI: https://doi.org/10.1007/s12206-017-0435-3

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