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Original Articles

Effects of magnetic field on size sensitivity of nonlinear vibration of embedded nanobeams

, &
Pages 948-956 | Received 23 Mar 2016, Accepted 25 Oct 2017, Published online: 14 Feb 2018

References

  • G. Che, B. B. Lakshmi, E. R. Fisher, and C. R. Martin, “Carbon nanotubule membranes for electrochemical energy storage and production,” Nature, vol. 393, no. 6683, pp. 346–349, 1998. DOI: 10.1038/30694.
  • J. Liu, A. G. Rinzler, H. Dai, J. H. Hafner, R. K. Bradley, P. J. Boul, A. Lu, T. Iverson, K. Shelimov, and C. B. Huffman, “Fullerene pipes,” Science, vol. 280, no. 5367, pp. 1253–1256, 1998. DOI: 10.1126/science.280.5367.1253.
  • G. Hummer, J. C. Rasaiah, and J. P. Noworyta, “Water conduction through the hydrophobic channel of a carbon nanotube,” Nature, vol. 414, no. 6860, pp. 188–190, 2001. DOI: 10.1038/35102535.
  • Y. Gao and Y. Bando, “Nanotechnology: Carbon nanothermometer containing gallium,” Nature, vol. 415, no. 6872, pp. 599–599, 2002. DOI: 10.1038/415599a.
  • M. S. Dresselhaus and P. Avouris, “Introduction to carbon materials research,” in: Carbon Nanotubes, M. S. Dresselhaus, G. Dresselhaus and P. Avouris, Eds. Berlin, Germany: Springer, 2001, pp. 1–9.
  • Q. Zheng and Q. Jiang, “Multiwalled carbon nanotubes as gigahertz oscillators,” Phys. Rev. Lett., vol. 88, no. 4, pp. 045503, 2002. DOI: 10.1103/PhysRevLett.88.045503.
  • H. Zhang and C. Sun, “Nanoplate model for platelike nanomaterials,” AIAA J., vol. 42, no. 10, pp. 2002–2009, 2004. DOI: 10.2514/1.5282.
  • L. Vayssieres and M. Graetzel, “Highly ordered SnO2 nanorod arrays from controlled aqueous growth,” Angew. Chem., vol. 116, no. 28, pp. 3752–3756, 2004. DOI: 10.1002/ange.200454000.
  • H. A. Wu, A. K. Soh, X. X. Wang, and Z. Sun, “Strength and fracture of single crystal metal nanowire,” in: Key Engineering Materials, vol. 261, K. Kishimoto, M. Kikuchi, T. Shoji, and M. Saka, Eds. Zurich, Switzerland: Trans Tech Publ, 2004, pp. 33–38.
  • M. R. Bidgoli, M. S. Karimi, and A. G. Arani, “Nonlinear vibration and instability analysis of functionally graded CNT-reinforced cylindrical shells conveying viscous fluid resting on orthotropic Pasternak medium,” Mech. Adv. Mater. Struct., vol. 23, no. 7, pp. 819–831, 2016. DOI: 10.1080/15376494.2015.1029170.
  • A. C. Eringen and D. Edelen, “On nonlocal elasticity,” Int. J. Eng. Sci., vol. 10, no. 3, pp. 233–248, 1972. DOI: 10.1016/0020-7225(72)90039-0.
  • A. C. Eringen, “On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves,” J. Appl. Phys., vol. 54, no. 9, pp. 4703–4710, 1983. DOI: 10.1063/1.332803.
  • T. Murmu and S. Pradhan, “Thermo-mechanical vibration of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity theory,” Comput. Mater. Sci., vol. 46, no. 4, pp. 854–859, 2009. DOI: 10.1016/j.commatsci.2009.04.019.
  • K. Mustapha and Z. Zhong, “The thermo-mechanical vibration of a single-walled carbon nanotube studied using the Bubnov–Galerkin method,” Phys. E, vol. 43, no. 1, pp. 375–381, 2010. DOI: 10.1016/j.physe.2010.08.012.
  • M. Mohammadimehr, A. R. Saidi, A. Ghorbanpour Arani, A. Arefmanesh, and Q. Han, “Torsional buckling of a DWCNT embedded on winkler and pasternak foundations using nonlocal theory,” J. Mech. Sci. Technol., vol. 24, no. 6, pp. 1289–1299, 2010. DOI: 10.1007/s12206-010-0331-6.
  • S. Narendar, S. Gupta, and S. Gopalakrishnan, “Wave propagation in single-walled carbon nanotube under longitudinal magnetic field using nonlocal Euler–Bernoulli beam theory,” Appl. Math. Modell., vol. 36, no. 9, pp. 4529–4538, 2012. DOI: 10.1016/j.apm.2011.11.073.
  • A. Ghorbanpour Arani, M. Hashemian, and R. Kolahchi, “Nonlocal Timoshenko beam model for dynamic stability of double-walled boron nitride nanotubes conveying nanoflow, Proceedings of the Institution of Mechanical Engineers,” Part N: J. Nanoengineering and Nanosystems, vol. 229, no. 1, pp. 2–16, 2013.
  • T. Murmu, M. McCarthy, and S. Adhikari, “Vibration response of double-walled carbon nanotubes subjected to an externally applied longitudinal magnetic field: A nonlocal elasticity approach,” J. Sound Vibration, vol. 331, no. 23, pp. 5069–5086, 2012. DOI: 10.1016/j.jsv.2012.06.005.
  • B. Wang, Z. Deng, H. Ouyang, and K. Zhang, “Wave characteristics of single-walled fluid-conveying carbon nanotubes subjected to multi-physical fields,” Phys. E, vol. 52, pp. 97–105, 2013. DOI: 10.1016/j.physe.2013.04.003.
  • M. Sadeghi-Goughari, S. Jeon, and H.-J. Kwon, “Effects of magnetic-fluid flow on structural instability of a carbon nanotube conveying nanoflow under a longitudinal magnetic field,” Phys. Lett. A, vol. 381, no. 35, pp. 2898–2905, 2017. DOI: 10.1016/j.physleta.2017.06.054.
  • H. Liu, H. Liu, and J. Yang, “Longitudinal waves in carbon nanotubes in the presence of transverse magnetic field and elastic medium,” Phys. E-Low-Dimensional Syst. & Nanostructures, vol. 93, pp. 153–159, 2017. DOI: 10.1016/j.physe.2017.05.022.
  • J. Yang, L. Ke, and S. Kitipornchai, “Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory,” Phys. E, vol. 42, no. 5, pp. 1727–1735, 2010. DOI: 10.1016/j.physe.2010.01.035.
  • Y. Fu, J. Hong, and X. Wang, “Analysis of nonlinear vibration for embedded carbon nanotubes,” J. Sound Vibration, vol. 296, no. 4, pp. 746–756, 2006. DOI: 10.1016/j.jsv.2006.02.024.
  • D.-K. Kang, H.-I. Yang, and C.-W. Kim, “Geometrically nonlinear dynamic behavior on detection sensitivity of carbon nanotube-based mass sensor using finite element method,” Finite Elem. Anal. Des., vol. 126, pp. 39–49, 2017. DOI: 10.1016/j.finel.2016.12.002.
  • J. Reddy, “Nonlocal theories for bending, buckling and vibration of beams,” Int. J. Eng. Sci., vol. 45, no. 2, pp. 288–307, 2007. DOI: 10.1016/j.ijengsci.2007.04.004.
  • P. Lu, H. Lee, C. Lu, and P. Zhang, “Application of nonlocal beam models for carbon nanotubes,” Int. J. Solids Struct., vol. 44, no. 16, pp. 5289–5300, 2007. DOI: 10.1016/j.ijsolstr.2006.12.034.
  • A. Ghorbanpour Arani, M. A. Roudbari, and K. Kiani, “Vibration of double-walled carbon nanotubes coupled by temperature-dependent medium under a moving nanoparticle with multi physical fields,” Mech. Adv. Mater. Struct., vol. 23, no. 3, pp. 281–291, 2015. DOI: 10.1080/15376494.2014.952853.
  • A. Ghorbanpour Arani, M. S. Zarei, M. Mohammadimehr, A. Arefmanesh, and M. R. Mozdianfard, “The thermal effect on buckling analysis of a DWCNT embedded on the Pasternak foundation,” Phys. E, vol. 43, no. 9, pp. 1642–1648, 2011. DOI: 10.1016/j.physe.2011.05.014.
  • Y. Zhang, X. Liu, and J. Zhao, “Influence of temperature change on column buckling of multiwalled carbon nanotubes,” Phys. Lett. A, vol. 372, no. 10, pp. 1676–1681, 2008. DOI:10.1016/j.physleta.2007.10.033.
  • C. W. Bert, W. Xinwei, and A. G. Striz, “Differential quadrature for static and free vibration analyses of anisotropic plates,” Int. J. Solids Struct., vol. 30, no. 13, pp. 1737–1744, 1993. DOI: 10.1016/0020-7683(93)90230-5.
  • C. Shu, Differential Quadrature and Its Application in Engineering. Berlin, Germany: Springer Science & Business Media, 2000.
  • K. Liew, J. Yang, and Y. Wu, “Nonlinear vibration of a coating-FGM-substrate cylindrical panel subjected to a temperature gradient,” Comput. Methods Appl. Mech. Eng., vol. 195, no. 9, pp. 1007–1026, 2006. DOI: 10.1016/j.cma.2005.04.001.
  • C. W. Bert and M. Malik, “Differential quadrature method in computational mechanics: A review,” Appl. Mech. Rev., vol. 49, no. 1, pp. 1–28, 1996. DOI: 10.1115/1.3101882.
  • A. Ghorbanpour Arani, V. Atabakhshian, A. Loghman, A. R. Shajari, and S. Amir, “Nonlinear vibration of embedded SWBNNTs based on nonlocal Timoshenko beam theory using DQ method,” Phys. B, vol. 407, no. 13, pp. 2549–2555, 2012. DOI:10.1016/j.physb.2012.03.065.
  • B. WenXing, Z. ChangChun, and C. WanZhao, “Simulation of Young's modulus of single-walled carbon nanotubes by molecular dynamics,” Phys. B, vol. 352, no. 1, pp. 156–163, 2004. DOI: 10.1016/j.physb.2004.07.005.

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