Abstract
The enormous increase in the application of nano-electromechanical systems for biological purposes, as well as modern sensors in the particle accelerators, leads to new operation situations for these devices, such as an external magnetic field. While different physical phenomena on the behavior of nano-electromechanical systems have been addressed, few researchers have focused on the magnetic flux’s inspiration on the performance of electromechanical nano-sensors. In this paper, the dynamic electromagnetic instability of nano-sensors immersed in an external magnetic flux is simulated. As nano-structures have a considerable surface-to-volume ratio, the constitutive equation is developed by incorporating surface energies. The impact of finite dimensions is taken into account in the developed model by using corrected relations for electrical and van der Waals force. The nonlinear dynamic behavior of the system is investigated by employing the Galerkin method. We find that the magnetic flux can significantly reduce the dynamic instability threshold of the nano-sensors.
Similar content being viewed by others
References
R.S. Shawgo, A.C.R. Grayson, Y. Li, M.J. Cima, Curr. Opin. Solid State Mater. Sci. 6, 329 (2002)
D. Lindner, MRS Bull. 26, 33 (2001)
S. Katsuma, G. Tsujimoto, Expert Rev. Mol. Diagn. 1, 377 (2001)
T. Visted, R. Bjerkvig, P.O. Enger, Neuro-oncology 3, 201 (2001)
J.H. Prescott, S. Lipka, S. Baldwin, N.F. Sheppard, J.M. Maloney, J. Coppeta, B. Yomtov, M.A. Staples, J.T. Santini, Nature Biotech. 24, 437 (2006)
N.M. Elman, H.L. Duc, M. Cima, Michael. Biomed. Microdevice 11, 625 (2009)
C. Ke, H.D. Espinosa, Nanoelectromechanical systems and modeling. Handbook of Theoretical and Computational Nanotechnology chapter 121 (2005)
H. Mobki, G. Rezazadeh, M. Sadeghi, F. Vakili-Tahami, M.M.S. Fakhrabadi, Int. J. Non-Linear Mech. 48, 78 (2013)
J. Abdi, A. Koochi, A.S. Kazemi, M. Abadyan, Smart Mater. Struct. 20, 055011 (2011)
A. Koochi, H. Hosseini-Toudeshky, Int. J. App. Mech. 7, 1550064 (2015)
J.B. Ma, L. Jiang, S.F. Asokanthan, Nanotechnology 21, 505708 (2010)
A. Koochi, H. Hosseini-Toudeshky, H.R. Ovesy, M. Abadyan, Int. J. Struc. Stab. Dyn. 13, 1250072 (2013)
W.H. Lin, Y.P. Zhao, Microsyst. Technol. 11, 80 (2005)
H.M. Sedighi, W. Lu, Int. J. App. Mech. 6, 1450030 (2014)
F.C. Moon, Y.H. Pao, J. App. Mech. 35, 53 (1968)
F.C. Moon, Y.H. Pao, J. App. Mech. 36, 92 (1969)
Y.S. Shih, G.Y. Wu, G.J. Chen, J. Struct. Mech. 26, 115 (1998)
L. Librescu, D. Hasanyan, D.R. Ambur, Int. J. Non-Linear Mech. 39, 723 (2004)
K. Kiani, Acta Mech. 224, 3139 (2013)
K. Kiani, J. Phys. Chem. Solid 75, 15 (2014)
K. Kiani, Phys. E 63, 27 (2014)
K. Kiani, Phys. Lett. 378, 1834 (2014)
K. Kiani, J. Phys. Chem. Solid 83, 140 (2016)
K. Kiani, J. Phys. Chem. Solid 95, 89 (2016)
K. Kiani, Phys. E 57, 179 (2014)
D. Karličić,T. Murmu, M.Cajić, Milan , P. Kozić, S. Adhikari, J. App. phys. 115, 234303 (2014)
A.G. Arani, P. Dashti, S. Amir, M. Yousefi, J. Theor. App. Mech. 53, 947 (2015)
A.G. Arani, P. Dashti, S. Amir, M. Yousefi, Acta Mech. 226, 2729 (2015)
Y. Zhen, L. Zhou, Mod. Phys. Let. B 31, 1750069 (2017)
J.N. Israelachvili, Intermolecular and surface forces (Academic Press, Cambridge, 2015), p. 708
W.M. van Spengen, R. Pures, I. De Wolf, J. Micromech. Microeng. 16, 189 (2006)
Y. Fu, J. Zhang, App. Math. Model. 35, 941 (2011)
A. Koochi, A.S. Kazemi, F. Khandani, M. Abadyan, Phys. Scripta 85, 035804 (2012)
H. Rokni, W. Lu, J. App. Phys. 113, 153512 (2013)
R.C. Batra, M. Porfiri, D. Spinello, J. Microelectromech. Sys. 15, 1057 (2006)
A. Koochi, H. Hosseini-Toudeshky, M. Abadyan, App. Math. Mech. 37, 583 (2016)
M. Shaat, S.A. Mohamed, Int. J. Mech. Sci. 84, 208 (2014)
Acknowledgements
This work has been financially supported by the deputy of education and research, University of Torbat Heydarieh. The grant number is 32.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Koochi, A., Abadyan, M. & Gholami, S. Electromagnetic instability analysis of nano-sensor. Eur. Phys. J. Plus 136, 44 (2021). https://doi.org/10.1140/epjp/s13360-020-01041-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-020-01041-z