Vibration of Piezoelectric Nanowires Including Surface Effects

Document Type: Research Paper

Authors

Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran

10.7508/jns.2014.02.006

Abstract

In this paper, surface and piezoelectric effects on the vibration behavior of nanowires (NWs) are investigated by using a Timoshenko beam model. The electric field equations and the governing equations of motion for the piezoelectric NWs are derived with the consideration of surface effects. By the exact solution of the governing equations, an expression for the natural frequencies of NWs with simply-supported boundary conditions is obtained. The effects of piezoelectricity and surface effects on the vibrational behavior of Timoshenko NWs are graphically illustrated. A comparison is also made between the predictions of Timoshenko beam model and those of its Euler-Bernoulli counterpart. Additionally, the present results are validated through comparison with the available data in the literature.

Keywords


[1] G. Wu, H. Ji, K. Hansen, T. Thundat, R. Datar, R. Cote, M.F. Hagan, A.K. Chakraborty, A. Majumdar, A Proc. Natl. Acad. Sci. USA 98 (2001) 1560-1564.

[2] Y. Cui, Z.H. Zhong, D.L. Wang, W.U. Wang, C.M. Lieber, Nano Lett. 3 (2003) 149-152.

[3] Z.H. Zhong, D.L. Wang, Y. Cui, M.W. Bockrath, C.M. Lieber, Sci. 302 (2003) 1377-1379.

[4] M.E. Gurtin, X. Markenscoff, R.N. Thurston, Appl. Phys. Lett. 29 (1976) 529-530.

[5] P. Lu, H. P. Lee, C. Lu, S. O’Shea, J Phys. Rev. B 72 (2005) 085405.

[6] R.E. Miller, V. B Shenoy, Nanotechnology 11 (2000) 139-147.

[7] G.F. Wang, X.Q. Feng, Appl. Phys. Lett90 (2007) 231904.

[8] R. Ansari, S. Sahmani, Int. J. Eng. Sci. 49 (2011) 1244–1255.

[9] S. Cuenot, C. Frétigny, S. Demoustier-Champagne, B. Nysten, Phys. Rev. B 69 (2004) 165410.

[10] J. He, C.M. Lilley, Nano Lett. 8 (2008) 1798-1802.

[11] H.S. Park, Nanotechnology 20 (2009) 115701.

[12] L.Y. Jiang, Z. Yan, Physica E 42 (2010) 2274–2279.

[13] G.F. Wang, X.Q. Feng, J. Phys. D: Appl.Phys 42 (2009) 155411-155415.

[14] S.M. Hasheminejad, B. Gheshlaghi, Appl. Phys. Lett. 97 (2010) 2531031-2531033.

[15] C.M. Wang, Y.Y. Zhang, S.S. Ramesh, S. Kitipornchai, J. Phys. D: Appl. Phys 39 (2006) 3904-3909.

[16] Y.Y. Zhang, C.M. Wang, V.B.C. Tan, J. Eng. Mech.132 (2006) 952-958.

[17] J.C. Hsu, H.L. Lee, W.J. Chang, Nanotechnology 18 (2007) 285503.

[18] Z.L. Wang, J.H. Song, Sci. 312 (2006) 242-246.

[19] P.X. Gao, J.H. Song, J. Liu, Z.L. Wang, Adv. Mater. 19 (2007) 67-72.

[20] X.D. Bai, P.X. Gao, Z.L. Wang, E.G. Wang, Appl. Phys. Lett. 82 (2003) 4806-4808.

[21] J.H. He, C.L. Hsin, J. Liu, L.J. Chen, Z.L. Wang, Adv. Mater. 19 (2007) 781-784.

[22] J.H. Song, J. Zhou, Z.L. Wang, Nano. Lett. 6 (2006) 1656-1662.

[23] X.D. Wang, J.H. Song, J. Liu, Z.L. Wang, Sci. 316 (2007) 102-105.

[24] W.S. Su, Y.F. Chen, C.L. Hsiao, L.W. Tu, Appl. Phys.Lett. 90 (2007) 0631101.

[25] H.J. Xiang, J.L. Yang, J.G. Hou, Q.S. Zhu, Appl. Phys. Lett. 89 (2006) 223111.

[26] C. Li, W.L. Guo, Y. Kong, H.J. Gao, Appl. Phys. Lett. 90 (2007) 033108.

[27] B. Gheshlaghi, S. M. Hasheminejad, Current. Appl.phys 12 (2012) 1096-1099.

[28] Z. Yan, L. Jiang, J Phys D: Appl. Phys. 44 (2011) 075404.

[29] A.T. Samaei, M. Bakhtiari, G.F. Wang, Nanoscale Research Lett. 7 (2012) 201.

[30] G. F. Wang, X. Q. Feng, EPL 91 (2010) 56007.

[31] R.C. Cammarata, Prog.Surf.Sci. 46 (1994) 1-38.

[32] K.M. Liew, J.Z. Zhang, C. Li, S.A. Meguid, Int. J. Sol. Struct. 42 (2005) 4239–4257.

[33] A. Tourki Samaei, B. Gheshlaghi, G.F. Wang, Curr. Appl. Phys. 13 (2013) 2098–2102.

[34] S. Hosseini-Hashemi, I. Nahas, M. Fakher, R. Nazemnezhad , Acta Mech. 225 (2014) 1555–1564.