DOI QR코드

DOI QR Code

Numerical and computational modeling for nonlinear dynamic simulation of curved shells under multi-physical fields

  • He, Jing (Institute for Advanced Studies in Humanities and Social Sciences, Beihang University) ;
  • Sun, Yu (CIGIS (China) Limited)
  • 투고 : 2020.02.17
  • 심사 : 2021.08.28
  • 발행 : 2021.11.25

초록

This research is devoted to explore the nonlinear vibration characteristics of smart nanoshells under multi-phyisical magneto-electric fields. The nano-scale shell has been treated as a thin shell with prescribed curvature which is modeled by nonlocal elasticity theory. The material composition of the smart nanoshell has been considered as a two phase composite for which the effective properties depend on the percentage of each phase. The discretization of governing equations has been carried out based on differential quadrature method (DQM). It has been exhibited that nonlinear vibration properties of curved nanoshells rely on nonlocality coefficient, piezoelectric phase percentage, radius of curvature, and electrical/magnetic potential.

키워드

참고문헌

  1. Abdullah, W.N., Khalaf, B.S., Ahmed, R.A., Fenjan, R.M. and Faleh, N.M. (2021), "Thermal effects on dynamic response of GOP-Reinforced beams under blast load", Adv. Concrete Constr., 12(3), 167-174. https://doi.org/10.12989/acc.2021.12.3.167.
  2. Abdulrazzaq, M.A., Muhammad, A.K., Kadhim, Z.D. and Faleh, N.M. (2020), "Vibration analysis of nonlocal strain gradient porous FG composite plates coupled by visco-elastic foundation based on DQM", Coupled Syst. Mech., 9(3), 201-217. https://doi.org/10.12989/csm.2020.9.3.201.
  3. Aboudi, J. (2001), "Micromechanical analysis of fully coupled electro-magneto-thermo-elastic multiphase composites," Smart Mater. Struct., 10(5), 867. https://doi.org/10.1088/0964-1726/10/5/303.
  4. Ahmed, R.A., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections", Geomech. Eng., 17(2), 175-180. https://doi.org/10.12989/gae.2019.17.2.175.
  5. Ahmed, R.A., Fenjan, R.M., Hamad, L.B. and Faleh, N.M. (2020), "A review of effects of partial dynamic loading on dynamic response of nonlocal functionally graded material beams", Adv. Mater. Res., 9(1), 33-48. https://doi.org/10.12989/amr.2020.9.1.033.
  6. Ahmed, R.A., Khalaf, B.S., Raheef, K.M., Fenjan, R.M. and Faleh, N.M. (2021), "Investigating dynamic response of nonlocal functionally graded porous piezoelectric plates in thermal environment", Steel Compos. Struct., 40(2), 243-254. https://doi.org/10.12989/scs.2021.40.2.243.
  7. Akbas, S.D. (2016), "Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium", Smart Struct. Syst., 18(6), 1125-1143. http://doi.org/10.12989/sss.2016.18.6.1125.
  8. Al-Maliki, A.F., Faleh, N.M. and Alasadi, A.A. (2019), "Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities", Struct. Monit. Maint., 6(2), 147-159. https://doi.org/10.12989/smm.2019.6.2.147.
  9. Al-Maliki, A.F., Ahmed, R.A., Moustafa, N.M. and Faleh, N.M. (2020), "Finite element based modeling and thermal dynamic analysis of functionally graded graphene reinforced beams", Adv. Comput. Des., 5(2), 177-193. https://doi.org/10.12989/acd.2020.5.2.177.
  10. Barati, M.R. (2017), "Coupled effects of electrical polarization-strain gradient on vibration behavior of double-layered flexoelectric nanoplates", Smart Struct. Syst., 20(5), 573-581. https://doi.org/10.12989/sss.2017.20.5.573.
  11. Barati, M.R. and Zenkour, A.M. (2019a), "Thermal post-buckling analysis of closed circuit flexoelectric nanobeams with surface effects and geometrical imperfection", Mech. Adv. Mater. Struct., 26(17), 1482-1490. https://doi.org/10.1080/15376494.2018.1432821.
  12. Barati, M.R. and Zenkour, A. (2019b), "Investigating instability regions of harmonically loaded refined shear deformable inhomogeneous nanoplates", Iran. J. Sci. Technol. T. Mech. Eng., 43(3), 393-404. https://doi.org/10.1007/s40997-018-0215-4.
  13. Ebrahimi, F. and Barati, M.R. (2018a), "Axial magnetic field effects on dynamic characteristics of embedded multiphase nanocrystalline nanobeams", Microsyst. Technol., 24(8), 3521-3536. https://doi.org/10.1007/s00542-018-3771-z.
  14. Ebrahimi, F. and Barati, M.R. (2018b), "Damping vibration analysis of graphene sheets on viscoelastic medium incorporating hygro-thermal effects employing nonlocal strain gradient theory", Compos. Struct., 185, 241-253. https://doi.org/10.1016/j.compstruct.2017.10.021.
  15. Ebrahimi, F. and Barati, M.R. (2018c), "Surface and flexoelectricity effects on size-dependent thermal stability analysis of smart piezoelectric nanoplates", Struct. Eng. Mech., 67(2), 143-153. https://doi.org/10.12989/sem.2018.67.2.143.
  16. Ebrahimi, F. and Barati, M.R. (2018d), "A nonlocal strain gradient refined plate model for thermal vibration analysis of embedded graphene sheets via DQM", Struct. Eng. Mech., 66(6), 693-701. https://doi.org/10.12989/sem.2018.66.6.693.
  17. Ebrahimi, F. and Barati, M.R. (2019a), "Hygrothermal effects on static stability of embedded single-layer graphene sheets based on nonlocal strain gradient elasticity theory", J. Therm. Stress, 42(12), 1535-1550. https://doi.org/10.1080/01495739.2019.1662352.
  18. Ebrahimi, F. and Barati, M.R. (2019b), "Damping Vibration Behavior of Viscoelastic Porous Nanocrystalline Nanobeams Incorporating Nonlocal-Couple Stress and Surface Energy Effects", Iran. J. Sci. Technol. T. Mech. Eng., 43(2), 187-203. https://doi.org/10.1007/s40997-017-0127-8.
  19. Ebrahimi, F. and Barati, M.R. (2020), "Propagation of waves in nonlocal porous multi-phase nanocrystalline nanobeams under longitudinal magnetic field", Wave Random Complex, 30(2), 308-327. https://doi.org/10.1080/17455030.2018.1506596.
  20. Eltaher, M.A., Emam, S.A. and Mahmoud, F.F. (2012), "Free vibration analysis of functionally graded size-dependent nanobeams", Appl. Math. Comput., 218(14), 7406-7420. https://doi.org/10.1016/j.amc.2011.12.090.
  21. Eringen, A.C. (1972), "Linear theory of nonlocal elasticity and dispersion of plane waves", Int. J. Eng. Sci., 10(5), 425-435. https://doi.org/10.1016/0020-7225(72)90050-X.
  22. Fenjan, R.M., Ahmed, R.A., Alasadi, A.A. and Faleh, N.M. (2019), "Nonlocal strain gradient thermal vibration analysis of double-coupled metal foam plate system with uniform and nonuniform porosities", Coupled Syst. Mech., 8(3), 247-257. https://doi.org/10.12989/csm.2019.8.3.247.
  23. Fenjan, R.M., Hamad, L.B. and Faleh, N.M. (2020a), "Mechanical-hygro-thermal vibrations of functionally graded porous plates with nonlocal and strain gradient effects", Adv. Aircraft Spacecraft Sci., 7(2), 169-186. https://doi.org/10.12989/aas.2020.7.2.169.
  24. Fenjan, R.M., Ahmed, R.A., Hamad, L.B. and Faleh, N.M. (2020b), "A review of numerical approach for dynamic response of strain gradient metal foam shells under constant velocity moving loads", Adv. Comput. Des., 5(4), 349-362. https://doi.org/10.12989/acd.2020.5.4.349.
  25. Guo, J., Chen, J. and Pan, E. (2016), "Static deformation of anisotropic layered magnetoelectroelastic plates based on modified couple-stress theory", Compos. Part B Eng., 107, 84-96. https://doi.org/10.1016/j.compositesb.2016.09.044.
  26. Hamad, L.B., Khalaf, B.S. and Faleh, N.M. (2019), "Analysis of static and dynamic characteristics of strain gradient shell structures made of porous nano-crystalline materials", Adv. Mater. Res., 8(3), 179-96. https://doi.org/10.12989/amr.2019.8.3.179.
  27. Jiang, L., Wang, Y., Wang, X., Ning, F., Wen, S., Zhou, Y. and Zhou, F.L. (2021), "Electrohydrodynamic printing of a dielectric elastomer actuator and its application in tunable lenses", Compos. Part A Appl. S., 147, 106461. https://doi.org/10.1016/j.compositesa.2021.106461.
  28. Ke, L.L., Wang, Y.S., Yang, J. and Kitipornchai, S. (2014), "The size-dependent vibration of embedded magneto-electro-elastic cylindrical nanoshells", Smart Mater. Struct., 23(12), 125036. https://doi.org/10.1088/0964-1726/23/12/125036.
  29. Kumaravel, A., Ganesan, N. and Sethuraman, R. (2007), "Buckling and vibration analysis of layered and multiphase magneto-electro-elastic beam under thermal environment", Multidiscip. Model. Mater. Struct., 3(4), 461-476. https://doi.org/10.1163/157361107782106401.
  30. Li, Y. and Shi, Z. (2009), "Free vibration of a functionally graded piezoelectric beam via state-space based differential quadrature", Compos. Struct., 87(3), 257-264. https://doi.org/10.1016/j.compstruct.2008.01.012.
  31. Li, T., Dai, Z., Yu, M. and Zhang, W. (2021a), "Numerical investigation on the aerodynamic resistances of double-unit trains with different gap lengths", Eng. Appl. Comput. Fluid Mech., 15(1), 549-560. https://doi.org/10.1080/19942060.2021.1895321.
  32. Li, X., Yang, H., Zhang, J., Qian, G., Yu, H. and Cai, J. (2021b), "Time-domain analysis of tamper displacement during dynamic compaction based on automatic control", Coatings, 11(9), 1092. https://doi.org/10.3390/coatings11091092.
  33. Liu, H., Liu, H. and Yang, J. (2018), "Vibration of FG magneto-electro-viscoelastic porous nanobeams on visco-Pasternak foundation", Compos. Part B Eng., 155, 244-256. https://doi.org/10.1016/j.compositesb.2018.08.042.
  34. Liu, C., Gao, X., Chi, D., He, Y., Liang, M. and Wang, H. (2021), "On-line chatter detection in milling using fast kurtogram and frequency band power", Eur. J. Mech. A Solid, 104341. https://doi.org/10.1016/j.euromechsol.2021.104341.
  35. Liu, X., Zhang, G., Li, J., Shi, G., Zhou, M., Huang, B., and Yang, W. (2020), "Deep learning for Feynman's path integral in strong-field time-dependent dynamics", Phys. Rev. Lett., 124(11), 113202. https://doi.org/10.1103/PhysRevLett.124.113202.
  36. Mirjavadi, S.S., Forsat, M., Badnava, S. and Barati, M.R. (2020a), "Analyzing nonlocal nonlinear vibrations of two-phase geometrically imperfect piezo-magnetic beams considering piezoelectric reinforcement scheme", J. Strain Anal. Eng. Des., 55(7-8), 258-270. https://doi.org/10.1177%2F0309324720917285. https://doi.org/10.1177%2F0309324720917285
  37. Mirjavadi, S.S., Forsat, M., Badnava, S., Barati, M.R. and Hamouda, A.M.S. (2020b), "Nonlinear dynamic characteristics of nonlocal multi-phase magneto-electro-elastic nano-tubes with different piezoelectric constituents", Appl. Phys. A, 126(8), 1-16. https://doi.org/10.1007/s00339-020-03743-8.
  38. Mirjavadi, S.S., Bayani, H., Khoshtinat, N., Forsat, M., Barati, M. R. and Hamouda, A.M.S. (2020c), "On nonlinear vibration behavior of piezo-magnetic doubly-curved nanoshells", Smart Struct. Syst., 26(5), 631-640. https://doi.org/10.12989/sss.2020.26.5.631.
  39. Mirjavadi, S.S., Forsat, M., Yahya, Y.Z., Barati, M.R., Jayasimha, A.N. and Hamouda, A.M.S. (2020d), "Porosity effects on postbuckling behavior of geometrically imperfect metal foam doubly-curved shells with stiffeners", Struct. Eng. Mech., 75(6), 701-711. https://doi.org/10.12989/sem.2020.75.6.701.
  40. Mirjavadi, S.S., Forsat, M., Mollaee, S., Barati, M.R., Afshari, B.M. and Hamouda, A.M.S. (2020e), "Post-buckling analysis of geometrically imperfect nanoparticle reinforced annular sector plates under radial compression", Comput. Concrete, 26(1), 21-30. https://doi.org/10.12989/cac.2020.26.1.021.
  41. Mirjavadi, S.S., Nikookar, M., Mollaee, S., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020f), "Analyzing exact nonlinear forced vibrations of two-phase magneto-electroelastic nanobeams under an elliptic-type force", Adv. Nano Res., 9(1), 47-58. https://doi.org/10.12989/anr.2020.9.1.047.
  42. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020g), "Investigating nonlinear forced vibration behavior of multi-phase nanocomposite annular sector plates using Jacobi elliptic functions", Steel Compos. Struct., 36(1), 87-101. https://doi.org/10.12989/scs.2020.36.1.087.
  43. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020h), "Post-buckling analysis of geometrically imperfect tapered curved micro-panels made of graphene oxide powder reinforced composite", Steel Compos. Struct., 36(1), 63-74. https://doi.org/10.12989/scs.2020.36.1.063.
  44. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020i), "Assessment of transient vibrations of graphene oxide reinforced plates under pulse loads using finite strip method", Comput. Concrete, 25(6), 575-585. https://doi.org/10.12989/cac.2020.25.6.575.
  45. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020j), "Post-buckling of higher-order stiffened metal foam curved shells with porosity distributions and geometrical imperfection", Steel Compos. Struct., 35(4), 567-578. https://doi.org/10.12989/scs.2020.35.4.567.
  46. Mirjavadi, S.S., Forsat, M., Yahya, Y.Z., Barati, M.R., Jayasimha, A.N. and Khan, I. (2020k), "Analysis of post-buckling of higher-order graphene oxide reinforced concrete plates with geometrical imperfection", Adv. Concrete Constr., 9(4), 397-406. https://doi.org/10.12989/acc.2020.9.4.397.
  47. Muhammad, A.K., Hamad, L.B., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing large-amplitude vibration of nonlocal beams made of different piezo-electric materials in thermal environment", Adv. Mater. Res., 8(3), 237-257. https://doi.org/10.12989/amr.2019.8.3.237.
  48. Pan, E. and Han, F. (2005), "Exact solution for functionally graded and layered magneto-electro-elastic plates", Int. J. Eng. Sci., 43(3-4), 321-339. https://doi.org/10.1016/j.ijengsci.2004.09.006.
  49. Raheef, K.M., Ahmed, R.A., Nayeeif, A.A., Fenjan, R.M. and Faleh, N.M. (2021), "Analyzing dynamic response of nonlocal strain gradient porous beams under moving load and thermal environment", Geomech. Eng., 26(1), 89-99. https://doi.org/10.12989/gae.2021.26.1.089.
  50. Shariati, A., Barati, M.R., Ebrahimi, F., Singhal, A. and Toghroli, A. (2020a), "Investigating vibrational behavior of graphene heets under linearly varying in-plane bending load based on the nonlocal strain gradient theory", Adv. Nano Res., 8(4), 265-276. https://doi.org/10.12989/anr.2020.8.4.265.
  51. Shariati, A., Barati, M.R., Ebrahimi, F. and Toghroli, A. (2020b), "Investigation of microstructure and surface effects on vibrational characteristics of nanobeams based on nonlocal couple stress theory", Adv. Nano Res, 8(3), 191-202. https://doi.org/10.12989/anr.2020.8.3.191.
  52. Thai, H.T. and Vo, T.P. (2012), "A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams", Int. J. Eng. Sci., 54, 58-66. https://doi.org/10.1016/j.ijengsci.2012.01.009.
  53. Xu, K.D., Guo, Y.J., Yang, Q., Zhang, Y.L., Deng, X., Zhang, A. and Chen, Q. (2021), "On-chip GaAs-based spoof surface plasmon polaritons at millimeter-wave regime", IEEE Photo. Tech. L., 33(5), 255-258. https://doi.org/10.1109/LPT.2021.3054962.
  54. Yang, W., Lin, Y., Chen, X., Xu, Y., Zhang, H., Ciappina, M. and Song, X. (2021), "Wave mixing and high-harmonic generation enhancement by a two-color field driven dielectric metasurface", Chinese Opt. Lett., 19(12), 123202. https://doi.org/10.3788/COL202119.123202.
  55. Zhang, X., Tang, Y., Zhang, F. and Lee, C.S. (2016), "A novel aluminum-graphite dual-ion battery", Adv. Energy Mater., 6(11), 1502588. https://doi.org/10.1002/aenm.201502588.
  56. Zhang, Z., Yang, F., Zhang, H., Zhang, T., Wang, H., Xu, Y. and Ma, Q. (2021), "Influence of CeO2 addition on forming quality and microstructure of TiCx-reinforced CrTi4-based laser cladding composite coating", Mater. Charact., 171, 110732. https://doi.org/10.1016/j.matchar.2020.110732.
  57. Zhao, X., Zhu, W.D. and Li, Y.H. (2020a), "Analytical solutions of nonlocal coupled thermoelastic forced vibrations of micro-/nano-beams by means of Green's functions", J. Sound Vib., 481, 115407. https://doi.org/10.1016/j.jsv.2020.115407.