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Nonlocal strain gradient effects on forced vibrations of porous FG cylindrical nanoshells

  • Mirjavadi, Seyed Sajad (Department of Mechanical and Industrial Engineering, Qatar University) ;
  • Forsat, Masoud (Department of Mechanical and Industrial Engineering, Qatar University) ;
  • Nia, Alireza Farrokhi (Department of Mechanical and Industrial Engineering, Qatar University) ;
  • Badnava, Salman (Department of Computer Science and Engineering, College of Engineering, Qatar University) ;
  • Hamouda, A.M.S. (Department of Mechanical and Industrial Engineering, Qatar University)
  • Received : 2019.09.10
  • Accepted : 2020.01.06
  • Published : 2020.02.25
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Abstract

The present paper explores forced vibrational properties of porosity-dependent functionally graded (FG) cylindrical nanoshells exposed to linear-type or triangular-type impulse load via classical shell theory (CST) and nonlocal strain gradient theory (NSGT). Employing such scale-dependent theory, two scale factors accounting for stiffness softening and hardening effects are incorporated in modeling of the nanoshell. Two sorts of porosity distributions called even and uneven have been taken into account. Governing equations obtained for porous nanoshell have been solved through inverse Laplace transforms technique to derive dynamical deflections. It is shown that transient responses of a nanoshell are affected by the form and position of impulse loading, amount of porosities, porosities dispensation, nonlocal and strain gradient factors.

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References

  1. Alasadi, A.A., Ahmed, R.A. and Faleh, N.M. (2019), "Analyzing nonlinear vibrations of metal foam nanobeams with symmetric and non-symmetric porosities", Adv. Aircraft Spacecraft Sci., Int. J., 6(4), 273-282. https://doi.org/10.12989/aas.2019.6.4.273
  2. Atmane, H.A., Tounsi, A., Bernard, F. and Mahmoud, S.R. (2015), "A computational shear displacement model for vibrational analysis of functionally graded beams with porosities", Steel Compos. Struct., Int. J., 19(2), 369-384. https://doi.org/10.12989/scs.2015.19.2.369
  3. Aydogdu, M. and Arda, M. (2016), "Forced vibration of nanorods using nonlocal elasticity", Adv. Nano Res., Int. J., 4(4), 265-279. https://doi.org/10.12989/anr.2016.4.4.265
  4. Azimi, M., Mirjavadi, S.S., Shafiei, N. and Hamouda, A.M.S. (2017), "Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam", Appl. Phys. A, 123(1), 104. https://doi.org/10.1007/s00339-016-0712-5
  5. Azimi, M., Mirjavadi, S.S., Shafiei, N., Hamouda, A.M.S. and Davari, E. (2018), "Vibration of rotating functionally graded Timoshenko nano-beams with nonlinear thermal distribution", Mech. Adv. Mater. Struct., 25(6), 467-480. https://doi.org/10.1080/15376494.2017.1285455
  6. Barati, M.R. (2017), "Nonlocal-strain gradient forced vibration analysis of metal foam nanoplates with uniform and graded porosities", Adv. Nano Res., Int. J., 5(4), 393-414. https://doi.org/10.12989/anr.2017.5.4.393
  7. Bensaid, I., Bekhadda, A. and Kerboua, B. (2018), "Dynamic analysis of higher order shear-deformable nanobeams resting on elastic foundation based on nonlocal strain gradient theory", Adv. Nano Res., Int. J., 6(3), 279-298. https://doi.org/10.12989/anr.2018.6.3.279
  8. Ebrahimi, F. and Haghi, P. (2018), "Wave dispersion analysis of rotating heterogeneous nanobeams in thermal environment", Adv. Nano Res., Int. J., 6(1), 21-37. https://doi.org/10.12989/anr.2018.6.1.021
  9. Eltaher, M.A., Emam, S.A. and Mahmoud, F.F. (2012), "Free vibration analysis of functionally graded size-dependent nanobeams", Appl. Mathe. Computat., 218(14), 7406-7420. https://doi.org/10.1016/j.amc.2011.12.090
  10. Faleh, N.M., Ahmed, R.A. and Fenjan, R.M. (2018a), "On vibrations of porous FG nanoshells", Int. J. Eng. Sci., 133, 1-14. https://doi.org/10.1016/j.ijengsci.2018.08.007
  11. Faleh, N.M., Fenjan, R.M. and Ahmed, R.A. (2018b), "Dynamic analysis of graded small-scale shells with porosity distributions under transverse dynamic loads", Eur. Phys. J. Plus, 133(9), 348. https://doi.org/10.1140/epjp/i2018-12152-5
  12. Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2019), "Investigating dynamic stability of metal foam nanoplates under periodic in-plane loads via a three-unknown plate theory", Adv. Aircraft Spacecraft Sci., Int. J., 6(4), 297-314. https://doi.org/10.12989/aas.2019.6.4.297
  13. Houari, M.S.A., Bessaim, A., Bernard, F., Tounsi, A. and Mahmoud, S.R. (2018), "Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter", Steel Compos. Struct., Int. J., 28(1), 13-24. https://doi.org/10.12989/scs.2018.28.1.013
  14. Karami, B., Janghorban, M. and Tounsi, A. (2018), "Variational approach for wave dispersion in anisotropic doubly-curved nanoshells based on a new nonlocal strain gradient higher order shell theory", Thin-Wall. Struct., 129, 251-264. https://doi.org/10.1016/j.tws.2018.02.025
  15. Ke, L.L., Wang, Y.S. and Wang, Z.D. (2012), "Nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory", Compos. Struct., 94(6), 2038-2047. https://doi.org/10.1016/j.compstruct.2012.01.023
  16. Kheroubi, B., Benzair, A., Tounsi, A. and Semmah, A. (2016), "A new refined nonlocal beam theory accounting for effect of thickness stretching in nanoscale beams", Adv. Nano Res., Int. J., 4(4), 251-264. https://doi.org/10.12989/anr.2016.4.4.251
  17. Lam, D.C., Yang, F., Chong, A.C.M., Wang, J. and Tong, P. (2003), "Experiments and theory in strain gradient elasticity", J. Mech. Phys. Solids, 51(8), 1477-1508. https://doi.org/10.1016/S0022-5096(03)00053-X
  18. Lee, Y.S. and Lee, K.D. (1997), "On the dynamic response of laminated circular cylindrical shells under impulse loads", Comput. Struct., 63(1), 149-157. https://doi.org/10.1016/S0045-7949(96)00312-4
  19. Li, L. and Hu, Y. (2015), "Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory", Int. J. Eng. Sci., 97, 84-94. https://doi.org/10.1016/j.ijengsci.2015.08.013
  20. Li, X., Li, L., Hu, Y., Ding, Z. and Deng, W. (2017), "Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory", Compos. Struct., 165, 250-265. https://doi.org/10.1016/j.compstruct.2017.01.032
  21. Li, L., Tang, H. and Hu, Y. (2018), "Size-dependent nonlinear vibration of beam-type porous materials with an initial geometrical curvature", Compos. Struct., 184, 1177-1188. https://doi.org/10.1016/j.compstruct.2017.10.052
  22. Mehralian, F., Beni, Y.T. and Zeverdejani, M.K. (2017), "Nonlocal strain gradient theory calibration using molecular dynamics simulation based on small scale vibration of nanotubes", Physica B: Condensed Matter, 514, 61-69. https://doi.org/10.1016/j.physb.2017.03.030
  23. Mirjavadi, S.S., Rabby, S., Shafiei, N., Afshari, B.M. and Kazemi, M. (2017a), "On size-dependent free vibration and thermal buckling of axially functionally graded nanobeams in thermal environment", Appl. Phys. A, 123(5), 315. https://doi.org/10.1007/s00339-017-0918-1
  24. Mirjavadi, S.S., Afshari, B.M., Shafiei, N., Hamouda, A.M.S. and Kazemi, M. (2017b), "Thermal vibration of two-dimensional functionally graded (2D-FG) porous Timoshenko nanobeams", Steel Compos. Struct., Int. J., 25(4), 415-426. https://doi.org/10.12989/scs.2017.25.4.415
  25. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M. S. (2018a), "Strain gradient based dynamic response analysis of heterogeneous cylindrical microshells with porosities under a moving load", Mater. Res. Express, 6(3), 035029. https://doi.org/10.1088/2053-1591/aaf5a2
  26. Mirjavadi, S.S., Afshari, B.M., Khezel, M., Shafiei, N., Rabby, S. and Kordnejad, M. (2018b), "Nonlinear vibration and buckling of functionally graded porous nanoscaled beams", J. Brazil. Soc. Mech. Sci. Eng., 40(7), 352. https://doi.org/10.1007/s40430-018-1272-8
  27. Mirjavadi, S.S., Forsat, M., Hamouda, A.M.S. and Barati, M.R. (2019a), "Dynamic response of functionally graded graphene nanoplatelet reinforced shells with porosity distributions under transverse dynamic loads", Mater. Res. Express, 6(7), 075045. https://doi.org/10.1088/2053-1591/ab1552
  28. Mirjavadi, S.S., Forsat, M., Nikookar, M., Barati, M.R. and Hamouda, A.M.S. (2019b), "Nonlinear forced vibrations of sandwich smart nanobeams with two-phase piezo-magnetic face sheets", Eur. Phys. J. Plus, 134(10), 508. https://doi.org/10.1140/epjp/i2019-12806-8
  29. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M.S. (2019c), "Transient response of porous FG nanoplates subjected to various pulse loads based on nonlocal stress-strain gradient theory", Eur. J. Mech.-A/Solids, 74, 210-220. https://doi.org/10.1016/j.euromechsol.2018.11.004
  30. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M.S. (2019d), "Nonlinear free and forced vibrations of graphene nanoplatelet reinforced microbeams with geometrical imperfection", Microsyst. Technol., 25, 3137-3150. https://doi.org/10.1007/s00542-018-4277-4
  31. Mirjavadi, S.S., Forsat, M., Barati, M.R., Abdella, G.M., Hamouda, A.M.S., Afshari, B.M. and Rabby, S. (2019e), "Postbuckling analysis of piezo-magnetic nanobeams with geometrical imperfection and different piezoelectric contents", Microsyst. Technol., 25(9), 3477-3488. https://doi.org/10.1007/s00542-018-4241-3
  32. Mirjavadi, S.S., Forsat, M., Barati, M.R., Abdella, G.M., Afshari, B.M., Hamouda, A.M.S. and Rabby, S. (2019f), "Dynamic response of metal foam FG porous cylindrical micro-shells due to moving loads with strain gradient size-dependency", Eur. Phys. J. Plus, 134(5), 214. https://doi.org/10.1140/epjp/i2019-12540-3
  33. Mohammadi, K., Mahinzare, M., Ghorbani, K. and Ghadiri, M. (2018), "Cylindrical functionally graded shell model based on the first order shear deformation nonlocal strain gradient elasticity theory", Microsyst. Technol., 24(2), 1133-1146. https://doi.org/10.1007/s00542-017-3476-8
  34. Shafiei, N., Mirjavadi, S.S., Afshari, B.M., Rabby, S. and Hamouda, A.M.S. (2017), "Nonlinear thermal buckling of axially functionally graded micro and nanobeams", Compos. Struct., 168, 428-439. https://doi.org/10.1016/j.compstruct.2017.02.048
  35. She, G.L., Yuan, F.G., Ren, Y.R., Liu, H.B. and Xiao, W.S. (2018), "Nonlinear bending and vibration analysis of functionally graded porous tubes via a nonlocal strain gradient theory", Compos. Struct., 203, 614-623. https://doi.org/10.1016/j.compstruct.2018.07.063
  36. Tang, Y. and Yang, T. (2018), "Post-buckling behavior and nonlinear vibration analysis of a fluid-conveying pipe composed of functionally graded material", Compos. Struct., 185, 393-400. https://doi.org/10.1016/j.compstruct.2017.11.032
  37. Tang, Y., Lv, X. and Yang, T. (2019), "Bi-directional functionally graded beams: asymmetric modes and nonlinear free vibration", Compos. Part B: Eng., 156, 319-331. https://doi.org/10.1016/j.compositesb.2018.08.140
  38. Uzun, B. and Civalek, O. (2019), "Free vibration analysis Silicon nanowires surrounded by elastic matrix by nonlocal finite element method", Adv. Nano Res., Int. J., 7(2), 99-108. https://doi.org/10.12989/anr.2019.7.2.099
  39. Zenkour, A.M. (2016), "Buckling of a single-layered graphene sheet embedded in visco-Pasternak's medium via nonlocal firstorder theory", Adv. Nano Res., Int. J., 4(4), 309-326. https://doi.org/10.12989/anr.2016.4.4.309
  40. Zhen, Y.X., Wen, S.L. and Tang, Y. (2019), "Free vibration analysis of viscoelastic nanotubes under longitudinal magnetic field based on nonlocal strain gradient Timoshenko beam model", Physica E: Low-dimens. Syst. Nanostruct., 105, 116-124. https://doi.org/10.1016/j.physe.2018.09.005

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