Skip to main content
SpringerLink
Log in

Electromechanical stability analysis of smart double-nanobeam systems

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

In the present article, the electromechanical stability analysis of double-nanobeam-systems (DNBS) under subtangential forces is studied based on Eringen’s nonlocal elasticity theory. The two cantilever nanobeams are assumed parallel and coupled by an enclosing visco-Pasternak medium. Furthermore, each nanobeam is surrounded by two piezoelectric layers and the system resting on Winkler elastic medium. The governing equations of motion and associated boundary conditions are derived by the extended Hamilton’s principle. Applying the extended Galerkin’s approach, the partial differential equations are transformed to ordinary differential equations. The effects of the nonlocal parameter, piezoelectric voltage, aspect ratios and surface effects on the vibration and stability characteristics of the DNBS are explained in detail. It is observed that the critical flutter and divergence loads predicted by the classical continuum theory have more value than the nonlocal continuum theory. In order to validate the accuracy and applicability of the proposed model, the numerical results are confirmed by comparing the results with those obtained in the literature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Q.H. Zuo, H.L. Schreyer, Int. J. Solids Struct. 33, 1355 (1996)

    Article  Google Scholar 

  2. M.A. Langthjem, Y. Sugiyama, Comp. Struct. 74, 385 (2000)

    Article  Google Scholar 

  3. M.A. Langthjem, Y. Sugiyama, Comp. Struct. 74, 399 (2000)

    Article  Google Scholar 

  4. Z. Elfelsoufi, L. Azrar, Comp. Struct. 83, 2632 (2005)

    Article  Google Scholar 

  5. M. Simşek, S. Cansiz, Compos. Struct. 94, 2861 (2012)

    Article  Google Scholar 

  6. Q. Mao, N. Wattanasakulpong, Int. J. Mech. Sci. 93, 1 (2015)

    Article  Google Scholar 

  7. Y.Q. Zhang, Y. Lu, G.W. Ma, Int. J. Mech. Sci. 50, 299 (2008)

    Article  Google Scholar 

  8. S. Caddemi, I. Caliò, F. Cannizzaro, J. Sound Vib. 333, 1718 (2014)

    Article  ADS  Google Scholar 

  9. N.I. Kim, J. Lee, Int. J. Mech. Sci. 84, 91 (2014)

    Article  Google Scholar 

  10. H.S. Alkhaldi, I. Abu-Alshaikh, R. Abu-Mallouh, O. Ghazal, Eur. J. Mech. A 47, 271 (2014) (Supplement C)

    Article  Google Scholar 

  11. X.F. Li, J. Zou, S.N. Jiang, K.Y. Lee, Compos. Struct. 153, 645 (2016)

    Article  Google Scholar 

  12. R. Bahaadini, M. Hosseini, B. Jamali, Physica B: Condens. Matter 529, 57 (2018) (Supplement C)

    Article  ADS  Google Scholar 

  13. M. Sadeghi-Goughari, M. Hosseini, J. Mech. Sci. Technol. 29, 723 (2015)

    Article  Google Scholar 

  14. M. Hosseini, M. Sadeghi-Goughari, Appl. Math. Model. 40, 2560 (2016)

    Article  MathSciNet  Google Scholar 

  15. R. Bahaadini, M.R. Dashtbayazi, M. Hosseini, Z. Khalili-Parizi, Ocean Eng. 160, 311 (2018)

    Article  Google Scholar 

  16. R. Bahaadini, A.R. Saidi, Eur. J. Mech. - A 72, 298 (2018)

    Article  Google Scholar 

  17. R. Bahaadini, A.R. Saidi, Aerospace Sci. Technol. 80, 381 (2018)

    Article  Google Scholar 

  18. R. Bahaadini, A.R. Saidi, Thin-Walled Struct. 132, 604 (2018)

    Article  Google Scholar 

  19. A.C. Eringen, J. Appl. Phys. 54, 4703 (1983)

    Article  ADS  Google Scholar 

  20. M.E. Gurtin, A.I. Murdoch, Int. J. Solids Struct. 14, 431 (1978)

    Article  Google Scholar 

  21. F. Ebrahimi, M. Reza Barati, Eur. Phys. J. Plus 132, 19 (2017)

    Article  Google Scholar 

  22. R.A. Toupin, Arch. Ration. Mech. Anal. 11, 385 (1962)

    Article  MathSciNet  Google Scholar 

  23. B. Alibeigi, Y. Tadi Beni, F. Mehralian, Eur. Phys. J. Plus 133, 133 (2018)

    Article  Google Scholar 

  24. E.C. Aifantis, Int. J. Fract. 95, 299 (1999)

    Article  Google Scholar 

  25. B. Alibeigi, Y. Tadi Beni, Eur. Phys. J. Plus 133, 398 (2018)

    Article  Google Scholar 

  26. C.W. Lim, G. Zhang, J.N. Reddy, J. Mech. Phys. Solids 78, 298 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  27. J.N. Reddy, Int. J. Eng. Sci. 45, 288 (2007)

    Article  Google Scholar 

  28. R. Bahaadini, M. Hosseini, Comp. Mater. Sci. 114, 151 (2016)

    Article  Google Scholar 

  29. Q. Wang, K.M. Liew, Phys. Lett. A 363, 236 (2007)

    Article  ADS  Google Scholar 

  30. T. Murmu, S. Adhikari, Phys. Lett. A 375, 601 (2011)

    Article  ADS  Google Scholar 

  31. R. Bahaadini, M. Hosseini, Appl. Math. Model. 59, 597 (2018)

    Article  MathSciNet  Google Scholar 

  32. A. Ghorbanpour Arani, M.A. Roudbari, K. Kiani, Mech. Adv. Mater. Struct. 23, 281 (2016)

    Article  Google Scholar 

  33. M. Hosseini, R. Bahaadini, M. Makkiabadi, Microfluid. Nanofluid. 22, 6 (2018)

    Article  Google Scholar 

  34. M. Hosseini, M. Sadeghi-Goughari, S. Atashipour, M. Eftekhari, Arch. Mech. 66, 217 (2014)

    Google Scholar 

  35. F. Ebrahimi, M.R. Barati, J. Vib. Control 24, 549 (2016)

    Article  Google Scholar 

  36. A. Jamalpoor, A. Ahmadi-Savadkoohi, M. Hosseini, S. Hosseini-Hashemi, Eur. J. Mech. A 63, 84 (2017) (Supplement C)

    Article  Google Scholar 

  37. R. Omidian, Y. Tadi Beni, F. Mehralian, Eur. Phys. J. Plus 132, 481 (2017)

    Article  Google Scholar 

  38. A.H. Ghorbanpour Arani, A. Rastgoo, A. Hafizi Bidgoli, R. Kolahchi, A. Ghorbanpour Arani, Mech. Adv. Mater. Struct. 24, 1159 (2017)

    Article  Google Scholar 

  39. O. Rahmani, S. Norouzi, H. Golmohammadi, S.A.H. Hosseini, Mech. Adv. Mater. Struct. 24, 1274 (2017)

    Article  Google Scholar 

  40. R. Bahaadini, A.R. Saidi, M. Hosseini, Int. J. Eng. Sci. 123, 181 (2018)

    Article  Google Scholar 

  41. M. Atashafrooz, R. Bahaadini, H.R. Sheibani, Mech. Adv. Mater. Struct., 1 (2018)

  42. R. Bahaadini, A.R. Saidi, M. Hosseini, J. Vib. Control 25, 203 (2019)

    Article  MathSciNet  Google Scholar 

  43. T. Murmu, J. Sienz, S. Adhikari, C. Arnold, J. Appl. Phys. 110, 084316 (2011)

    Article  ADS  Google Scholar 

  44. F. Ebrahimi, M.R. Barati, Eur. Phys. J. Plus 131, 346 (2016)

    Article  Google Scholar 

  45. A. Ciekot, S. Kukla, J. Appl. Math. Comput. Mech. 13, 23 (2014)

    Article  Google Scholar 

  46. M. Hosseini, A.Z.B. Maryam, R. Bahaadini, Microfluid. Nanofluid. 21, 134 (2017)

    Article  Google Scholar 

  47. X.F. Li, S.N. Jiang, K. Lee, Int. J. Mech. Mater. Design 14, 91 (2018)

    Article  Google Scholar 

  48. R. Bahaadini, M. Hosseini, A. Jamalpoor, Physica B: Condens. Matter 509, 55 (2017)

    Article  ADS  Google Scholar 

  49. S. Narendar, S. Ravinder, S. Gopalakrishnan, Comp. Mater. Sci. 56, 179 (2012)

    Article  Google Scholar 

  50. X. Chen, C.Q. Fang, X. Wang, Physica E 85, 47 (2017)

    Article  ADS  Google Scholar 

  51. Y. Zhang, M. Pang, L. Fan, Phys. Lett. A 380, 2294 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  52. K. Kiani, Physica E 86, 225 (2017)

    Article  ADS  Google Scholar 

  53. K. Liao-Liang, W. Yue-Sheng, Smart Mater. Struct. 21, 025018 (2012)

    Article  ADS  Google Scholar 

  54. Y. Zhi, J. Liying, J. Phys. D 46, 355502 (2013)

    Article  Google Scholar 

  55. M. Hosseini, R. Bahaadini, B. Jamali, J. Vib. Control 24, 1809 (2018)

    Article  MathSciNet  Google Scholar 

  56. A. Fereidoon, E. Andalib, A. Mirafzal, Physica E 81, 205 (2016) (Supplement C)

    Article  ADS  Google Scholar 

  57. A. Ghorbanpour-Arani, A. Rastgoo, M. Sharafi, R. Kolahchi, A.G. Arani, Meccanica 51, 25 (2016)

    Article  MathSciNet  Google Scholar 

  58. A.C. Eringen, D.G.B. Edelen, Int. J. Eng. Sci. 10, 233 (1972)

    Article  Google Scholar 

  59. Z.G. Zhou, L.Z. Wu, S.Y. Du, Eur. J. Mech. A 25, 793 (2006)

    Article  Google Scholar 

  60. M.E. Gurtin, A.I. Murdoch, Arch. Ration. Mech. Anal. 57, 291 (1975)

    Article  Google Scholar 

  61. P. Lu, L. He, H. Lee, C. Lu, Int. J. Solids Struct. 43, 4631 (2006)

    Article  Google Scholar 

  62. G. Rezazadeh, A. Tahmasebi, M. Zubstov, Microsyst. Technol. 12, 1163 (2006)

    Article  Google Scholar 

  63. M. Hosseini, S.A. Fazelzadeh, Int. J. Struct. Stabil. Dyn. 11, 513 (2011)

    Article  Google Scholar 

  64. M. Hosseini, R. Bahaadini, Int. J. Eng. Sci. 101, 1 (2016)

    Article  Google Scholar 

  65. R. Ansari, A. Norouzzadeh, R. Gholami, M.F. Shojaei, M. Darabi, Microfluid. Nanofluid. 20, 1 (2016)

    Article  Google Scholar 

  66. M. Kazemi-Lari, S.A. Fazelzadeh, E. Ghavanloo, Physica E 44, 1623 (2012)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran

    Reza Bahaadini

  2. Department of Mechanical Engineering, Sirjan University of Technology, 78137-33385, Sirjan, Iran

    Mohammad Hosseini & Zahra Khalili-Parizi

Authors
  1. Reza Bahaadini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mohammad Hosseini
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zahra Khalili-Parizi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mohammad Hosseini.

Additional information

Publisher’s Note

The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bahaadini, R., Hosseini, M. & Khalili-Parizi, Z. Electromechanical stability analysis of smart double-nanobeam systems. Eur. Phys. J. Plus 134, 320 (2019). https://doi.org/10.1140/epjp/i2019-12644-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2019-12644-8

Search

Navigation