Advances in aircraft and spacecraft science

  • 제6권4호
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  • Pages.273-282
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  • 2019
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  • 2287-528X(pISSN)
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  • 2287-5271(eISSN)
테크노프레스 (Techno-Press)
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Analyzing nonlinear vibrations of metal foam nanobeams with symmetric and non-symmetric porosities

  • Alasadi, Abbas A. (Al-Mustansiriah University, Engineering College) ;
  • Ahmed, Ridha A. (Al-Mustansiriah University, Engineering College) ;
  • Faleh, Nadhim M. (Al-Mustansiriah University, Engineering College)
  • 투고 : 2018.12.26
  • 심사 : 2019.01.19
  • 발행 : 2019.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

This article is concerned with the investigation of geometrically non-linear vibration response of refined thick porous nanobeams. To this end, non-local theory of elasticity has been adopted to provide the nanobeam formulation. Voids or pores can affect the material characteristics of the nanobeam. So, their effects have been considered in this research and also there are various void distributions. The closed form solution of the non-linear problem has been used that is adopted from previous articles. Then, it is focused on the impacts of non-local field, void distribution, void amount and geometrical properties on non-linear vibrational characteristic of a nano-size beam.

키워드

참고문헌

  1. Atmane, H.A., Tounsi, A. and Bernard, F. (2015a), "Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations", Int. J. Mech. Mater. Des., 13(1), 71-84. https://doi.org/10.1007/s10999-015-9318-x.
  2. Atmane, H. A., Tounsi, A., Bernard, F. and Mahmoud, S.R. (2015b), "A computational shear displacement model for vibrational analysis of functionally graded beams with porosities", Steel Compos. Struct., 19(2), 369-384. https://doi.org/10.12989/scs.2015.19.2.369.
  3. Barati, M.R., Zenkour, A.M. and Shahverdi, H. (2016), "Thermo-mechanical buckling analysis of embedded nanosize FG plates in thermal environments via an inverse cotangential theory", Compos. Struct., 141, 203-212. https://doi.org/10.1016/j.compstruct.2016.01.056.
  4. Barati, M.R. (2017a), "Nonlocal-strain gradient forced vibration analysis of metal foam nanoplates with uniform and graded porosities", Adv. Nano Res., 5(4), 393-414. https://doi.org/10.12989/anr.2017.5.4.369.
  5. Barati, M.R. (2017b), "Vibration analysis of FG nanoplates with nanovoids on viscoelastic substrate under hygro-thermo-mechanical loading using nonlocal strain gradient theory", Struct. Eng. Mech., 64(6), 683-693. https://doi.org/10.12989/sem.2017.64.6.683.
  6. Barati, M. R and Shahverdi, H. (2018), "Nonlinear vibration of nonlocal four-variable graded plates with porosities implementing homotopy perturbation and Hamiltonian methods", Acta Mechanica, 229(1), 343-362. https://doi.org/10.1007/s00707-017-1952-y.
  7. Belkorissat, I., Houari, M.S.A., Tounsi, A., Bedia, E.A. and Mahmoud, S.R. (2015), "On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model", Steel Compos. Struct., 18(4), 1063-1081. https://doi.org/10.12989/scs.2015.18.4.1063.
  8. Bounouara, F., Benrahou, K.H., Belkorissat, I. and Tounsi, A. (2016), "A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation", Steel Compos. Struct., 20(2), 227-249. https://doi.org/10.12989/scs.2016.20.2.227.
  9. Chen, D., Yang, J. and Kitipornchai, S. (2015), "Elastic buckling and static bending of shear deformable functionally graded porous beam", Compos. Struct., 133, 54-61. https://doi.org/10.1016/j.compstruct.2015.07.052.
  10. Chen, D., Yang, J. and Kitipornchai, S. (2016), "Free and forced vibrations of shear deformable functionally graded porous beams", Int. J. Mech. Sci., 108, 14-22. https://doi.org/10.1016/j.ijmecsci.2016.01.025.
  11. Ebrahimi, F. and Haghi, P. (2018), "A nonlocal strain gradient theory for scale-dependent wave dispersion analysis of rotating nanobeams considering physical field effects", Coupled. Syst. Mech., 7(4), 373-393. https://doi.org/10.12989/csm.2018.7.4.373.
  12. Ebrahimi, F. and Daman, M. (2016), "Dynamic modeling of embedded curved nanobeams incorporating surface effects", Coupled. Syst. Mech., 5(3), 255-268. https://doi.org/10.12989/csm.2016.5.3.255.
  13. Ebrahimi, F. and Heidari, E. (2018), "Surface effects on nonlinear vibration and buckling analysis of embedded FG nanoplates via refined HOSDPT in hygrothermal environment considering physical neutral surface position", Adv. Aircraft Spacecraft Sci., 5(6), 691-729. https://doi.org/10.12989/aas.2018.5.6.691.
  14. Ebrahimi, F., Babaei, R. and Shaghaghi, G.R. (2018), "Nonlocal buckling characteristics of heterogeneous plates subjected to various loadings", Adv. Aircraft Spacecraft Sci., 5(5), 515-531. https://doi.org/10.12989/aas.2018.5.5.515.
  15. Ebrahimi, F. and Salari, E. (2016), "Size-dependent free flexural vibrational behavior of functionally graded nanobeams using semi-analytical differential transform method", Compos. Part B Eng., 79, 156-169. https://doi.org/10.1016/j.compositesb.2015.04.010.
  16. Eringen, A.C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves", J. Appl. Phys., 54(9), 4703-4710. https://doi.org/10.1063/1.332803.
  17. Han, S.C., Park, W.T. and Jung, W.Y. (2015), "A four-variable refined plate theory for dynamic stability analysis of S-FGM plates based on physical neutral surface", Compos. Struct., 131, 1081-1089. https://doi.org/10.1016/j.compstruct.2015.06.025.
  18. Li, L., Hu, Y. and Ling, L. (2015), "Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory", Compos. Struct., 133, 1079-1092. https://doi.org/10.1016/j.compstruct.2015.08.014.
  19. Mechab, B., Mechab, I., Benaissa, S., Ameri, M. and Serier, B. (2016), "Probabilistic analysis of effect of the porosities in functionally graded material nanoplate resting on Winkler-Pasternak elastic foundations", Appl. Math. Modell., 40(2), 738-749. https://doi.org/10.1016/j.apm.2015.09.093.
  20. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M.S. (2018), "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
  21. Mirjavadi, S.S., Forsat, M., Barati, M.R., Abdella, G.M., Hamouda, A.M.S., Afshari, B.M and Rabby, S. (2018), "Post-buckling analysis of piezo-magnetic nanobeams with geometrical imperfection and different piezoelectric contents", Microsyst. Technol., 1-12. https://doi.org/10.1007/s00542-018-4241-3.
  22. Mirjavadi, S.S., Afshari, B.M., Barati, M.R and Hamouda, A.M.S. (2019a), "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.
  23. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M.S. (2019b), "Nonlinear free and forced vibrations of graphene nanoplatelet reinforced microbeams with geometrical imperfection", Microsyst. Technol., 1-14. https://doi.org/10.1007/s00542-018-4277-4.
  24. Natarajan, S., Chakraborty, S., Thangavel, M., Bordas, S. and Rabczuk, T. (2012), "Size-dependent free flexural vibration behavior of functionally graded nanoplates", Comput. Mater. Sci., 65, 74-80. https://doi.org/10.1016/j.commatsci.2012.06.031
  25. Rezaei, A.S. and Saidi, A.R. (2016), "Application of Carrera Unified Formulation to study the effect of porosity on natural frequencies of thick porous-cellular plates", Compos. Part B Eng., 91, 361-370. https://doi.org/10.1016/j.compositesb.2015.12.050.
  26. Reddy, J.N. (1990), "A general non-linear third-order theory of plates with moderate thickness", Int. J. Non-Lin. Mech., 25(6), 677-686. https://doi.org/10.1016/0020-7462(90)90006-U.
  27. Yahia, S.A., Atmane, H.A., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165. https://doi.org/10.12989/sem.2015.53.6.1143.
  28. Wattanasakulpong, N and Ungbhakorn, V. (2014), "Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities", Aerospace Sci. Technol., 32(1), 111-120. https://doi.org/10.1016/j.ast.2013.12.002.
  29. Zenkour, A.M. (2016), "Nonlocal transient thermal analysis of a single-layered graphene sheet embedded in viscoelastic medium", Physica E Low-dimen. Syst. Nanostruct., 79, 87-97. https://doi.org/10.1016/j.physe.2015.12.003.

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