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Influences of non-uniform initial stresses on vibration of small-scale sheets reinforced by shape memory alloy nanofibers

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Abstract.

In the present paper, an attempt is made to investigate the influences of biaxial preload on the vibrational behavior of small-scale composite sheets reinforced by shape memory alloy nanofibers. Three small-scale reinforced sheets are employed to form the system. In order to cover more practical cases, the biaxial preload and the compression ratio are assumed to be non-uniform. In addition, the three-layered composite sheet is embedded in a matrix with elastic properties. The Brinson model, nonlocal elasticity and Pasternak foundation model are used to take into account shape memory alloy effects, the influences of being size-dependent and the effects of the elastic matrix on the vibrational behavior, respectively. Performing a work/energy balance via Hamilton's principle yields the differential equations of motions. Finally, the natural frequencies are calculated via Galerkin's procedure. It is found that the natural frequencies of reinforced sheets under a preload of quadratic variation are higher than those of uniform and linear variations.

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References

  1. F.R. Phillips, D. Fang, H. Zheng, D.C. Lagoudas, Acta Mater. 59, 1871 (2011)

    Article  Google Scholar 

  2. D. Sopu, M. Stoica, J. Eckert, Appl. Phys. Lett. 106, 211902 (2015)

    Article  ADS  Google Scholar 

  3. H. Zhao, M. Chang, X. Liu, J.L. Gabayno, H.T. Chen, J. Micromech. Microeng. 24, 095012 (2014)

    Article  ADS  Google Scholar 

  4. M.M. Adeli, A. Hadi, M. Hosseini, H.H. Gorgani, Eur. Phys. J. Plus 132, 393 (2017)

    Article  ADS  Google Scholar 

  5. F. Ebrahimi, M.R. Barati, Eur. Phys. J. Plus 132, 19 (2017)

    Article  Google Scholar 

  6. A. Zenkour, Eur. Phys. J. Plus 133, 196 (2018)

    Article  Google Scholar 

  7. M. Arefi, M. Pourjamshidian, A.G. Arani, Eur. Phys. J. Plus 133, 193 (2018)

    Article  Google Scholar 

  8. K. Kiani, S. Soltani, Eur. Phys. J. Plus 133, 418 (2018)

    Article  Google Scholar 

  9. O. Rahmani, M. Shokrnia, H. Golmohammadi, S. Hosseini, Eur. Phys. J. Plus 133, 42 (2018)

    Article  Google Scholar 

  10. A. Farajpour, A. Rastgoo, M. Farajpour, Compos. Struct. 180, 179 (2017)

    Article  Google Scholar 

  11. P. Malekzadeh, A.G. Shenas, S. Ziaee, J. Braz. Soc. Mech. Sci. Eng. 40, 418 (2018)

    Article  Google Scholar 

  12. A.G. Shenas, P. Malekzadeh, Thin-Walled Struct. 106, 294 (2016)

    Article  Google Scholar 

  13. M.R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, IET Micro & Nano Lett. 11, 302 (2016)

    Article  Google Scholar 

  14. M. Farajpour, A. Shahidi, A. Hadi, A. Farajpour Mech. Adv. Mater. Struct. (2018), https://doi.org/10.1080/15376494.2018.1432820

    Article  Google Scholar 

  15. M.R. Farajpour, A. Shahidi, A. Farajpour, Micro & Nano Lett. 13, 1627 (2018)

    Article  Google Scholar 

  16. M. Aydogdu, Physica E 41, 1651 (2009)

    Article  ADS  Google Scholar 

  17. R. Aghababaei, J. Reddy, J. Sound Vib. 326, 277 (2009)

    Article  ADS  Google Scholar 

  18. P. Malekzadeh, M. Shojaee, Composites Part B 52, 84 (2013)

    Article  Google Scholar 

  19. J. Yang, L. Ke, S. Kitipornchai, Physica E 42, 1727 (2010)

    Article  ADS  Google Scholar 

  20. A. Farajpour, A. Rastgoo, Results Phys. 7, 1367 (2017)

    Article  ADS  Google Scholar 

  21. S.R. Asemi, A. Farajpour, M. Borghei, A.H. Hassani, Lat. Am. J. Solids Struct. 11, 704 (2014)

    Article  Google Scholar 

  22. S.R. Asemi, M. Mohammadi, A. Farajpour, Lat. Am. J. Solids Struct. 11, 1515 (2014)

    Article  Google Scholar 

  23. A. Farajpour, A. Rastgoo, M. Mohammadi, Physica B 509, 100 (2017)

    Article  ADS  Google Scholar 

  24. M.Z. Nejad, A. Hadi, A. Farajpour, Struct. Eng. Mech. 63, 161 (2017)

    Google Scholar 

  25. S.R. Asemi, A. Farajpour, IET Micro & Nano Lett. 9, 280 (2014)

    Article  Google Scholar 

  26. M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, J. Solid Mech. 6, 98 (2014)

    Google Scholar 

  27. P. Malekzadeh, A. Setoodeh, A.A. Beni, Compos. Struct. 93, 1631 (2011)

    Article  Google Scholar 

  28. Ç. Demir, Ö. Civalek, Compos. Struct. 168, 872 (2017)

    Article  Google Scholar 

  29. A.G. Shenas, S. Ziaee, P. Malekzadeh, Compos. Struct. 157, 222 (2016)

    Article  Google Scholar 

  30. A.G. Shenas, S. Ziaee, P. Malekzadeh, Thin-Walled Struct. 118, 87 (2017)

    Article  Google Scholar 

  31. A.G. Shenas, P. Malekzadeh, S. Ziaee, Acta Mech. 228, 1115 (2017)

    Article  MathSciNet  Google Scholar 

  32. C.M. Wang, Y.Y. Zhang, S. Kitipornchai, Int. J. Struct. Stab. Dyn. 7, 555 (2007)

    Article  MathSciNet  Google Scholar 

  33. T. Murmu, S. Pradhan, J. Appl. Phys. 106, 104301 (2009)

    Article  ADS  Google Scholar 

  34. M. Mohammadi, M. Goodarzi, M. Ghayour, A. Farajpour, Composites Part B 51, 121 (2013)

    Article  Google Scholar 

  35. L.C. Brinson, J. Intel. Mater. Syst. Struct. 4, 229 (1993)

    Article  Google Scholar 

  36. J.-S. Park, J.-H. Kim, S.-H. Moon, Compos. Struct. 63, 179 (2004)

    Article  Google Scholar 

  37. M. Farajpour, A. Shahidi, F. Tabataba'i-Nasab, A. Farajpour, Eur. Phys. J. Plus 133, 219 (2018)

    Article  Google Scholar 

  38. M. Farajpour, A. Shahidi, A. Farajpour, Mater. Res. Express 5, 035026 (2018)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Borjavaran Center of Applied Science and Technology, University of Applied Sciences and Technology, Tehran, Iran

    M. R. Farajpour

  2. Department of Mechanical Engineering, Isfahan University of Technology, 8415683111, Isfahan, Iran

    A. R. Shahidi & A. Farajpour

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  1. M. R. Farajpour
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  2. A. R. Shahidi
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  3. A. Farajpour
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Correspondence to A. R. Shahidi.

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Farajpour, M.R., Shahidi, A.R. & Farajpour, A. Influences of non-uniform initial stresses on vibration of small-scale sheets reinforced by shape memory alloy nanofibers. Eur. Phys. J. Plus 134, 218 (2019). https://doi.org/10.1140/epjp/i2019-12539-8

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