Skip to main content
SpringerLink
Log in

Dynamic analysis of multi-layered composite beams reinforced with graphene platelets resting on two-parameter viscoelastic foundation

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

Abstract.

The aim of the present article is to analyze the free-vibration behavior of multi-layer composite beams reinforced with graphene platelets (GPLs) resting on a viscoelastic foundation. The material properties of GPLs are assumed to vary from layer to layer in the thickness direction. GPLs are dispersed in each layer randomly and four different distribution patterns are employed. Further, all parameter effects on these four are investigated thoroughly. Effective material properties are estimated by the Halpin-Tsai model, and higher-order shear deformation beam theory is utilized to achieve the theoretical formulation of multi-layer graphene-platelets-reinforced composite (GPLRC) beam. Meanwhile, the Navier solution has been used to derive and follow up the governing differential equation of motion and natural frequency. To find out the effect of GPLs on composite structures and effect of the different distribution pattern of GPLs on the frequency of the beam structure and the other parameters, all sections of this study and results are presented based on four GPLs distribution patterns.

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. F. Gauvin, M. Robert, Polym. Degrad. Stab. 121, 359 (2015)

    Google Scholar 

  2. S. Baradaran, E. Moghaddam, W.J. Basirun, M. Mehrali, M. Sookhakian, M. Hamdi, M.N. Moghaddam, Y. Alias, Carbon 69, 32 (2014)

    Google Scholar 

  3. X. Huang, X. Qi, F. Boey, H. Zhang, Chem. Soc. Rev. 41, 666 (2012)

    Google Scholar 

  4. L.L. Ke, J. Yang, S. Kitipomchai, Compos. Struct. 92, 676 (2010)

    Google Scholar 

  5. P. Zhu, Z.X. Lei, K.M. Liew, Compos. Struct. 94, 1450 (2012)

    Google Scholar 

  6. Z.X. Lei, K.M. Liew, L.L. Yu, Compos. Struct. 98, 160 (2013)

    Google Scholar 

  7. N. Wattanasakulpong, V. Ungbhakorn, Comput. Mater. Sci. 71, 201 (2013)

    Google Scholar 

  8. G. Bhardwaj, A.K. Upadhyay, R. Pandey, K.K. Shukla, Compos. Part B 45, 89 (2013)

    Google Scholar 

  9. R. Ansari, M.F. Shojaei, V. Mohammadi, R. Gholami, F. Sadeghi, Compos. Struct. 113, 316 (2014)

    Google Scholar 

  10. Z.X. Lei, L.W. Zhang, K.M. Liew, Compos. Struct. 127, 245 (2015)

    Google Scholar 

  11. H.L. Wu, J. Yang, S. Kitipornchai, Compos. Part B 90, 86 (2016)

    Google Scholar 

  12. R. Ansari, J. Torabi, M.F. Shojaei, Compos. Part B 109, 197 (2017)

    Google Scholar 

  13. L.W. Zhang, L.N. Xiao, Compos. Part B 122, 219 (2017)

    Google Scholar 

  14. B. Bakhadda, M.B. Bouiadjra, F. Bourada, A.A. Bousahla, A. Tounsi, S.R. Mahmoud, Wind Struct. 27, 311 (2018)

    Google Scholar 

  15. O. Civalek, C. Demir, Asian J. Civ. Eng. 12, 651 (2011)

    Google Scholar 

  16. B. Akgöz, O. Civalek, J. Comput. Theor. Nanosci. 8, 1821 (2011)

    Google Scholar 

  17. K. Mercan, O. Civalek, Compos. Part B 114, 34 (2017)

    Google Scholar 

  18. K. Mercan, O. Civalek, Compos. Struct. 143, 300 (2016)

    Google Scholar 

  19. X. Wei, C. Lee, J.W. Kysar, J. Hone, Science 321, 385 (2008)

    ADS  Google Scholar 

  20. A.A. Balandin, S. Ghosh, W. Bao, I. Calizo, D. Teweldebrhan, F. Miao, C.N. Lau, Nano Lett. 8, 902 (2008)

    ADS  Google Scholar 

  21. X. Du, I. Skachko, A. Barker, E.Y. Andrei, E.Y., Nat. Nanotechnol. 3, 491 (2008)

    ADS  Google Scholar 

  22. M.A. Rafiee, J. Rafiee, Z. Wang, H. Song, Z.Z. Yu, N. Koratkar, ACS nano 3, 3884 (2009)

    Google Scholar 

  23. B. Mortazavi, O. Benzerara, H. Meyer, J. Bardon, S. Ahzi, Carbon 60, 356 (2013)

    Google Scholar 

  24. Y. Wang, J. Yu, W. Dai, Y. Song, D. Wang, L. Zeng, N. Jiang, Polym. Compos. 36, 556 (2015)

    Google Scholar 

  25. J. Liu, H. Yan, K. Jiang, Ceram. Int. 39, 6215 (2013)

    Google Scholar 

  26. M.A. Rafiee, J. Rafiee, I. Srivastava, Z. Wang, H. Song, Z.Z. Yu, N. Koratkar, Small 6, 179 (2010)

    Google Scholar 

  27. J.R. Potts, D.R. Dreyer, C.W. Bielawski, R.S. Ruoff, Polymer 52, 5 (2011)

    Google Scholar 

  28. A. Montazeri, H. Rafii-Tabar, Phys. Lett. A 375, 4034 (2011)

    ADS  Google Scholar 

  29. J.A. King, D.R. Klimek, I. Miskioglu, G.M. Odegard, J. Appl. Polym. Sci. 128, 4217 (2013)

    Google Scholar 

  30. X.Y. Ji, Y.P. Cao, X.Q. Feng, Model. Simul. Mater. Sci. Eng. 18, 045005 (2010)

    ADS  Google Scholar 

  31. K.N. Spanos, S.K. Georgantzinos, N.K. Anifantis, Compos. Struct. 132, 536 (2015)

    Google Scholar 

  32. Y. Mokhtar, H. Hiereche, A.A. Bousahla, M.S.A. Houari, A. Tounsi, S.R. Mahmoud, Smart Struct. Syst. 21, 397 (2018)

    Google Scholar 

  33. M. Yazid, H. Hiereche, A. Tounsi, A.A. Bousahla, M.S.A. Houari, Smart Struct. Syst. 21, 15 (2018)

    Google Scholar 

  34. A. Bouadi, A.A. Bousahla, M.S.A. Houari, H. Hiereche, A. Tounsi, Adv. Nano Res. 6, 147 (2018)

    Google Scholar 

  35. J. Yang, H. Wu, S. Kitipornchai, Compos. Struct. 161, 111 (2017)

    Google Scholar 

  36. M. Song, S. Kitipornchai, J. Yang, Compos. Struct. 159, 579 (2017)

    Google Scholar 

  37. F. Ebrahimi, A. Dabbagh, J. Electromagn. Wave 32, 1869 (2018)

    Google Scholar 

  38. F. Ebrahimi, M.R. Barati, Microsyst. Technol. 24, 1643 (2018)

    Google Scholar 

  39. M.R. Barati, A.M. Zenkour, Compos. Struct. 181, 194 (2017)

    Google Scholar 

  40. S. Kitipornchai, D. Chen, J. Yang, J. Mater. Des. 116, 656 (2017)

    Google Scholar 

  41. G. Shabanlou, S.A.A. Hosseini, M. Zamanian, Appl. Math. Model. 56, 325 (2017)

    Google Scholar 

  42. C. Feng, S. Kitipornchai, J. Yang, Compos. Part B 110, 132 (2017)

    Google Scholar 

  43. D. Chen, J. Yang J., S. Kitipornchai, Compos. Sci. Technol. 142, 235 (2017)

    Google Scholar 

  44. A. Hamidi, M.S.A. Houari, S.R. Mahmoud, A. Tounsi, Steel Compos. Struct. 18, 235 (2015)

    Google Scholar 

  45. M. Bouazza, A.M. Zenkour, Eur. Phys. J. Plus 133, 217 (2018)

    Google Scholar 

  46. Y. Beldjelili, A. Tounsi, S. Hassan, Smart Struct. Syst. 18, 755 (2016)

    Google Scholar 

  47. M. Zidi, A. Tounsi, M.S.A. Houari, E.A.A. Bedia, O.A. Beg, Aerospace Sci. Tech. 34, 24 (2014)

    Google Scholar 

  48. F. El-Haina, A. Bakora, A.A. Bousahla, A. Tounsi, S.R. Mahmoud, Struct. Eng. Mech. 63, 585 (2017)

    Google Scholar 

  49. A. Menasria, A. Bouhadra, A. Tounsi, A.A. Bousahla, S.R. Mahmoud, Steel Compos. Struct. 25, 157 (2017)

    Google Scholar 

  50. B. Bouderba, M.S.A Houari, A. Tounsi, S.R. Mahmoud, Struct. Eng. Mech. 58, 397 (2016)

    Google Scholar 

  51. A.A. Bousahla, S. Benyoucef, A. Tounsi, S. Hassan, Struct. Eng. Mech. 60, 313 (2016)

    Google Scholar 

  52. F. Ebrahimi, E. Salari, Acta Astronaut. 113, 29 (2015)

    ADS  Google Scholar 

  53. F. Ebrahimi, E. Salari, Mech. Adv. Mater. Struct. 23, 1379 (2016)

    Google Scholar 

  54. F. Ebrahimi, M.R. Barati, Acta Mech. 228, 1197 (2017)

    MathSciNet  Google Scholar 

  55. A. Mouffoki, E.A. Adda Bedia, M.S.A. Houari, A. Tounsi, S. Hassan, Smart Struct. Syst. 20, 369 (2017)

    Google Scholar 

  56. R. Hamza-Cherif, M. Meradjah, M. Zidour, A. Tounsi, S. Belmahi, T. Bensattalah, J. Nano Res. 54, 1 (2018)

    Google Scholar 

  57. B. Akgoz, O. Civalek, Compos. Part B 129, 77 (2017)

    Google Scholar 

  58. C. Demir, O. Civalek, Compos Struct. 168, 872 (2017)

    Google Scholar 

  59. H. Khetir, M.B. Bouiadjra, M.S.A. Houari, A. Tounsi, S.R. Mahmoud, Struct. Eng. Mech. 64, 391 (2017)

    Google Scholar 

  60. F. Ebrahimi, N. Shafiei, Mech. Adv. Mater. Struct. 24, 761 (2017)

    Google Scholar 

  61. F. Larbi Chaht, K. Abdelhakim, M.S.A. Houari, A. Tounsi, O.A. Beg, S. Hassan, Steel. Compos. Struct. 18, 425 (2015)

    Google Scholar 

  62. A.A. Bousahla, M.S.A. Houari, A. Tounsi, E.A.A. Bedia, Int. J. Comput. Methods 11, 1350082 (2014)

    MathSciNet  Google Scholar 

  63. A. Bouhadra, A. Tounsi, A.A. Bousahla, S. Benyoucef, S.R. Mahmoud, Struct. Eng. Mech. 66, 61 (2018)

    Google Scholar 

  64. A. Younsi, A. Tounsi, F.Z. Zaouri, A.A. Bousahla, S.R. Mahmoud, Geomech. Eng. 14, 519 (2018)

    Google Scholar 

  65. M. Abualnour, M.S.A. Houari, A. Tounsi, E.A.A. Bedia, S.R. Mahmoud, Compos. Struct. 184, 688 (2018)

    Google Scholar 

  66. K. Draiche, A. Tounsi, S. Hassan, Geomech. Eng. 11, 671 (2016)

    Google Scholar 

  67. M. Bourada, K. Abdelhakim, M.S.A. Houari, A. Tounsi, Steel Compos. Struct. 18, 409 (2015)

    Google Scholar 

  68. M. Bennoun, M.S.A. Houari, A. Tounsi, Mech. Adv. Mater. Struct. 23, 423 (2016)

    Google Scholar 

  69. F.Z. Zaoui, D. Ouinas, A. Tounsi, Compos. Part B 159, 231 (2019)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

    Saeedeh Qaderi & Farzad Ebrahimi

  2. Department of Mechanical Engineering, Nitte Meenakshi Institute of Technology, Yelahanka, Bangalore, India

    Mahesh Vinyas

Authors
  1. Saeedeh Qaderi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Farzad Ebrahimi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mahesh Vinyas
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Farzad Ebrahimi.

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

Qaderi, S., Ebrahimi, F. & Vinyas, M. Dynamic analysis of multi-layered composite beams reinforced with graphene platelets resting on two-parameter viscoelastic foundation. Eur. Phys. J. Plus 134, 339 (2019). https://doi.org/10.1140/epjp/i2019-12739-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2019-12739-2

Search

Navigation