Export file:


  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text


  • Citation Only
  • Citation and Abstract

An approach to modelling and simulation of single-walled carbon nanocones for sensing applications

Mechatronics Department, G.H. Patel College of Engineering and Technology, Vallabh-Vidyanagar, Gujarat-388120, India

Topical Section: Carbon Materials

In the present manuscript an approach to modelling and simulation of nanocones has been suggested for their use as sensing mediums. The vibrational behaviours of bridged and cantilever Single-Walled Carbon nanocones are modelled using three-dimensional elastic beams of carbon- carbon bonds and atomic masses. Also, the dynamic analysis of bridged and cantilever configurations of these nanocones with different disclination angles of 60°, 120°, 180°, and 240° is performed to evaluate the variation in stiffness with different configurations. The analysis also exhibits the effect of change in the length of nanocones on the vibrational frequencies. For the said purpose a mass equivalent to a carbon atom has been added at the nodes. It is observed that increasing side length of a Single-Walled Carbon nanocones with a constant apex angle results in a reduction in the fundamental frequency. It is also clear from the results that Single-Walled Carbon nanocones with larger apex angles exhibit smaller values of fundamental frequencies. The results suggest that smaller lengths of nanocones are better candidates for sensing applications as they exhibit substantial change in the fundamental frequencies. It can be stated that with higher number of bonds and atoms Single-Walled Carbon nanocones undergoes substantial bending with large declination angle which can be considered as an important finding.
  Article Metrics


1. Iijima S (1991) Helical microtubules of graphitic carbon. Nature 354: 56.    

2. Kroto HW, Heath JR, O'Brien SC, et al. (1985) C60: Buckminsterfullerene. Nature 318: 162–163.    

3. Kong XY, Ding Y, Yang R, et al. (2004) Single-crystal nanorings formed by epitaxial self-coiling of polar nanobelts. Science 303: 1348–1351.    

4. Iijima S, Ichihashi T, Ando Y (1992) Pentagons, heptagons and negative curvature in graphite microtubule growth. Nature 356: 776.    

5. Iijima S, Ichihashi T (1993) Single-shell carbon nanotubes of 1-nm diameter. Nature 363: 603–605.    

6. Yu SS, Zheng WT (2010) Effect of N/B doping on the electronic and field emission properties for carbon nanotubes, carbon nanocones, and graphene nanoribbons. Nanoscale 2: 1069–1082.    

7. Majidi R, Tabrizi KG (2010) Study of neon adsorption on carbon nanocones using molecular dynamics simulation. Physica B 405: 2144–2148.    

8. Hu YG, Liew KM, He X, et al. (2012) Free transverse vibration of single-walled carbon nanocones. Carbon 50: 4418–4423.    

9. Yan J, Liew KM, He L (2013) Ultra-sensitive analysis of a cantilevered single-walled carbon nanocone-based mass detector. Nanotechnology 24: 125703.    

10. Krishnan A, Dujardin E, Treacy M, et al. (1997) Graphitic cones and the nucleation of curved carbon surfaces. Nature 388: 451.    

11. Naess SN, Elgsaeter A, Helgesen G, et al. (2009) Carbon nanocones: wall structure and morphology. Sci Technol Adv Mat 10: 065002.    

12. Iijima S, Brabec C, Maiti A, et al. (1996) Structural flexibility of carbon nanotubes. J Chem Phys 104: 2089–2092.    

13. Yakobson B, Campbell M, Brabec C, et al. (1997) High strain rate fracture and C-chain unraveling in carbon nanotubes. Comp Mater Sci 8: 341–348.    

14. Sánchez-Portal D, Artacho E, Soler JM, et al. (1999) Ab initio structural, elastic, and vibrational properties of carbon nanotubes. Phys Rev B 59: 12678.    

15. Wang C, Tan V, Zhang Y (2006) Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes. J Sound Vib 294: 1060–1072.    

16. Hsu JC, Chang RP, Chang WJ (2008) Resonance frequency of chiral single-walled carbon nanotubes using Timoshenko beam theory. Phys Lett A 372: 2757–2759.    

17. Zhang Y, Wang C, Tan V (2009) Assessment of Timoshenko beam models for vibrational behavior of single-walled carbon nanotubes using molecular dynamics. Adv Appl Math Mech 1: 89–106.

18. Ru C (2000) Effective bending stiffness of carbon nanotubes. Phys Rev B 62: 9973.    

19. Yakobson BI, Brabec C, Bernholc J (1996) Nanomechanics of carbon tubes: instabilities beyond linear response. Phys Rev Lett 76: 2511.    

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

21. Odegard GM, Gates TS, Nicholson LM, et al. (2002) Equivalent-continuum modeling of nano-structured materials. Compos Sci Technol 62: 1869–1880.    

22. Li C, Chou TW (2003) A structural mechanics approach for the analysis of carbon nanotubes. Int J Solids Struct 40: 2487–2499.    

23. Rouhi S, Ansari R (2012) Atomistic finite element model for axial buckling and vibration analysis of single-layered graphene sheets. Physica E 44: 764–772.    

24. Ansari R, Rouhi S (2010) Atomistic finite element model for axial buckling of single-walled carbon nanotubes. Physica E 43: 58–69.    

25. Liew K, Lei Z, Yu J, et al. (2014) Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach. Comput Method Appl M 268: 1–17.

26. Zhang L, Lei Z, Liew K, et al. (2014) Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels. Compos Struct 111: 205–212.    

27. Yan J, Liew KM, He L (2012) Predicting mechanical properties of single-walled carbon nanocones using a higher-order gradient continuum computational framework. Compos Struct 94: 3271–3277.    

28. Lee J, Lee B (2012) Modal analysis of carbon nanotubes and nanocones using FEM. Comp Mater Sci 51: 30–42.    

29. Fakhrabadi MMS, Khani N, Pedrammehr S (2012) Vibrational analysis of single-walled carbon nanocones using molecular mechanics approach. Physica E 44: 1162–1168.    

30. Fakhrabadi MMS, Khani N, Omidvar R, et al. (2012) Investigation of elastic and buckling properties of carbon nanocones using molecular mechanics approach. Comp Mater Sci 61: 248–256.    

31. Narjabadifam A, Vakili-Tahami F, Zehsaz M, et al. (2015) Three-dimensional modal analysis of carbon nanocones using molecular dynamics simulation. J Vac Sci Technol B 33: 051805.    

32. Huang W, Xu J, Lu X (2016) Tapered carbon nanocone tips obtained by dynamic oxidation in air. RSC Adv 6: 25541–25548.    

33. Patel AM, Joshi AY (2013) Vibration analysis of double wall carbon nanotube based resonators for zeptogram level mass recognition. Comp Mater Sci 79: 230–238.    

34. Patel AM, Joshi AY (2014) Investigating the influence of surface deviations in double walled carbon nanotube based nanomechanical sensors. Comp Mater Sci 89: 157–164.    

35. Jaszczak JA, Robinson GW, Dimovski S, et al. (2003) Naturally occurring graphite cones. Carbon 41: 2085–2092.    

36. Lin CT, Lee CY, Chiu HT, et al. (2007) Graphene structure in carbon nanocones and nanodiscs. Langmuir 23: 12806–12810.    

37. Baykasoglu C, Celebi AT, Icer E, et al. (2013) Vibration and elastic buckling analyses of single-walled carbon nanocones. 3rd South-East European Conference on Computational Mechanicsan ECCOMAS and IACM Special Interest Conference, Kos Island, Greece, 12–14.

Copyright Info: © 2017, Bhavik Ardeshana, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

Download full text in PDF

Export Citation

Article outline

Show full outline
Copyright © AIMS Press All Rights Reserved