Abstract
Double-layer graphene sheets (DLGSs) have potential applications as nanoelectromechanical systems (NEMS) resonators due to their specific carrier spectrum of electrons. In this study, analysis of the vibration modes of NEMS resonators using simply supported circular DLGSs has been undertaken based on nonlocal thin plate theory. Considering the properties of DLGSs, the vibration mode of circular DLGSs can be divided into an in-phase mode (IPM) and an anti-phase mode (APM). The range of resonance frequencies in the IPM is much larger than in the APM because of the influence of van der Waals forces. Nonlocal effects significantly influence the resonance frequency of circular DLGSs in higher vibration modes and at lower aspect ratios.
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K.L. Ekinci, X.M.H. Huang, M.L. Roukes, Appl. Phys. Lett. 84, 4469 (2004)
J.S. Bunch, A.M. van der Zande, S.S. Verbridge, I.W. Frank, D.M. Tanenbaum, J.M. Parpia, H.G. Craighead, P.L. McEuen, Science 315, 490 (2007)
R. Grantab, V.B. Shenoy, R.S. Ruoff, Science 330, 946 (2010)
Z.G. Shen, J.Z. Li, M. Yi, X.J. Zhang, S.L. Ma, Nanotechnology 22, 365306 (2011)
V. Singh, S. Sengupta, H.S. Solanki, R. Dhall, A. Allain, S. Dhara, P. Pant, M.M. Deshmukh, Nanotechnology 21, 165204 (2010)
N. Wei, L.Q. Xu, H.Q. Wang, J.C. Zheng, Nanotechnology 22, 105705 (2011)
S. Santandrea, F. Giubileo, V. Grossi, S. Santucci, M. Passacantando, T. Schroeder, G. Lupina, A. Di Bartolomeo, Appl. Phys. Lett. 98, 163109 (2011)
J.L. Qi, X. Wang, W.T. Zheng, H.W. Tian, C.Q. Hu, Y.S. Peng, J. Phys. D: Appl. Phys. 43, 055302 (2010)
Y.P. Dan, Y. Lu, N.J. Kybert, Z.T. Luo, A.T.C. Johnson, Nano Lett. 9, 1472 (2009)
V. Sorkin, Y.W. Zhang, J. Mol. Model. 17, 2825 (2011)
H.L. Lee, Y.C. Yang, W.J. Chang, Jpn. J. Appl. Phys. 52, 025101 (2013)
M. Zarenia, J.M.P. Jr, F.M. Peeters, G.A. Farias, Nano Lett. 9, 4088 (2009)
J.M.P. Jr, P. Vasilopoulos, F.M. Peeters, Nano Lett. 7, 946 (2007)
C. Virojanadara, R. Yakimova, A.A. Zakharov, L.I. Johansson, J. Phys. D: Appl. Phys. 43, 374010 (2010)
J.X. Shi, Q.Q. Ni, X.W. Lei, T. Natsuki, Comput. Mater. Sci. 50, 3085 (2011)
J.X. Shi, Q.Q. Ni, X.W. Lei, T. Natsuki, J. Appl. Phys. 110, 084321 (2011)
T. Natsuki, J.X. Shi, Q.Q. Ni, J. Appl. Phys. 111, 044310 (2012)
T. Natsuki, J.X. Shi, Q.Q. Ni, J. Phys.: Condens. Matter 24, 135004 (2012)
A. Shakouri, T.Y. Ng, R.M. Lin, Nanotechnology 22, 295711 (2011)
J.R. Mianroodi, S.A. Niaki, R. Naghdabadi, M. Asghari, Nanotechnology 22, 305703 (2011)
J.B. Wang, X.Q. He, S. Kitipornchai, H.W. Zhang, J. Phys. D: Appl. Phys. 44, 135401 (2011)
E. Mohammadpour, M. Awang, Appl. Phys. A 106, 581 (2012)
C.Y. Wang, K. Mylvaganam, L.C. Zhang, Phys. Rev. B 80, 155445 (2009)
W.H. Duan, C.M. Wang, Nanotechnology 20, 075702 (2009)
B. Arash, Q. Wang, J. Nanotechnol. Eng. Med. 2, 011012 (2011)
H.S. Shen, L. Shen, C.L. Zhang, Appl. Phys. A 103, 103 (2011)
A.C. Eringen, J. Appl. Phys. 54, 4703 (1983)
S. Timoshenko, S. Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959)
S. Kitipornchai, X.Q. He, K.M. Liew, Phys. Rev. B 72, 075443 (2005)
K.M. Liew, X.Q. He, S. Kitipornchai, Acta Mater. 54, 4229 (2006)
R. Ansari, R. Rajabiehfard, B. Arash, Comput. Mater. Sci. 49, 831 (2010)
Acknowledgements
This work was supported by a Grant-in-Aid from the Global COE Program of the Ministry of Education, Culture, Sports, Science and Technology and by CLUSTER (second stage) from the Ministry of Education, Culture, Sports, Science and Technology (Japan).
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Shi, JX., Ni, QQ., Lei, XW. et al. Nonlocal vibration analysis of nanomechanical systems resonators using circular double-layer graphene sheets. Appl. Phys. A 115, 213–219 (2014). https://doi.org/10.1007/s00339-013-7963-1
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DOI: https://doi.org/10.1007/s00339-013-7963-1