DOI QR코드

DOI QR Code

Investigating dynamic stability behavior of sandwich plates with porous core based on a numerical approach

  • Received : 2021.05.04
  • Accepted : 2022.06.11
  • Published : 2022.09.10

Abstract

A numerical approach for dynamic stability analysis of sandwich plates has been provided using Chebyshev-Ritz-Bolotin approach. The sandwich plate with porous core has been formulated according to a higher-order plate. All of material properties are assumed to be dependent of porosity factor which determines the amount or volume of pores. The sandwich plate has also been assumed to be under periodic in-plane loading of compressive type. It will be shown that stability boundaries of the sandwich plate are dependent on static and dynamical load factors, porosity factor, porosity variation and core thickness.

Keywords

Acknowledgement

This study was supported by National project: 2020ITA06005 Practical innovation research of e-commerce specialty driven by big data technology.

References

  1. 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.
  2. Ahmed, R.A., Mustafa, N.M., Faleh, N.M. and Fenjan, R.M. (2020), "Nonlocal nonlinear stability of higher-order porous beams via Chebyshev-Ritz method", Struct. Eng. Mech., 76(3), 413-420. https://doi.org/10.12989/sem.2020.76.3.413.
  3. 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. Mainten., 6(2), 147-159. https://doi.org/10.12989/smm.2019.6.2.147.
  4. Bai, Y., Nardi, D.C., Zhou, X., Picon, R.A. and Florez-Lopez, J. (2021), "A new comprehensive model of damage for flexural subassemblies prone to fatigue", Comput. Struct., 256, 106639. https://doi.org/10.1016/j.compstruc.2021.106639.
  5. Barati, M.R. and Shahverdi, H. (2018a), "Forced vibration of porous functionally graded nanoplates under uniform dynamic load using general nonlocal stress-strain gradient theory", J. Vib. Control, 24(20), 4700-4715. https://doi.org/10.1177%2F1077546317733832. https://doi.org/10.1177%2F1077546317733832
  6. Barati, M.R. and Shahverdi, H. (2018b), "Nonlinear thermal vibration analysis of refined shear deformable FG nanoplates: Two semi-analytical solutions", J. Brazil. Soc. Mech. Sci. Eng., 40(2), 1-15. https://doi.org/10.1007/s40430-018-0968-0.
  7. Belabed, Z., Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2018), "A new 3-unknown hyperbolic shear deformation theory for vibration of functionally graded sandwich plate", Earthq. Struct., 14(2), 103-115. https://doi.org/10.12989/eas.2018.14.2.103.
  8. Ebrahimi, F. and Barati, M.R. (2017a), "Dynamic modeling of preloaded size-dependent nano-crystalline nano-structures", Appl. Math. Mech., 38(12), 1753-1772. https://doi.org/10.1007/s10483-017-2291-8.
  9. Ebrahimi, F. and Barati, M.R. (2017b), "A third-order parabolic shear deformation beam theory for nonlocal vibration analysis of magneto-electro-elastic nanobeams embedded in twoparameter elastic foundation", Adv. Nano Res., 5(4), 313. https://doi.org/10.12989/anr.2017.5.4.313.
  10. Ebrahimi, F. and Barati, M.R. (2017c), "A general higher-order nonlocal couple stress based beam model for vibration analysis of porous nanocrystalline nanobeams", Superlat. Microstruct., 112, 64-78. https://doi.org/10.1016/j.spmi.2017.09.010.
  11. Ebrahimi, F. and Barati, M.R. (2017d), "Static stability analysis of embedded flexoelectric nanoplates considering surface effects", Appl. Phys. A, 123(10), 1-15. https://doi.org/10.1007/s00339-017-1265-y.
  12. Ebrahimi, F. and Barati, M.R. (2017e), "Electro-magnetic effects on nonlocal dynamic behavior of embedded piezoelectric nanoscale beams", J. Intel. Mater Syst. Struct., 28(15), 2007-2022. https://doi.org/10.1177%2F1045389X16682850. https://doi.org/10.1177%2F1045389X16682850
  13. Ebrahimi, F. and Barati, M.R. (2018a), "Free vibration analysis of couple stress rotating nanobeams with surface effect under inplane axial magnetic field", J. Vib. Control, 24(21), 5097-5107. https://doi.org/10.1177%2F1077546317744719. https://doi.org/10.1177%2F1077546317744719
  14. Ebrahimi, F. and Barati, M.R. (2018b), "Vibration analysis of nonlocal strain gradient embedded single-layer graphene sheets under nonuniform in-plane loads", J. Vib. Control, 24(20), 4751-4763. https://doi.org/10.1177%2F1077546317734083. https://doi.org/10.1177%2F1077546317734083
  15. Ebrahimi, F. and Barati, M.R. (2018c), "Hygro-thermal vibration analysis of bilayer graphene sheet system via nonlocal strain gradient plate theory", J. Brazil. Soc. Mech. Sci. Eng., 40(9), 1-15. https://doi.org/10.1007/s40430-018-1350-y.
  16. Ebrahimi, F. and Barati, M.R. (2018d), "Static stability analysis of double-layer graphene sheet system in hygro-thermal environment", Microsyst. Technol., 24(9), 3713-3727. https://doi.org/10.1007/s00542-018-3827-0.
  17. Ebrahimi, F. and Barati, M.R. (2018e), "Influence of neutral surface position on dynamic characteristics of in-homogeneous piezo-magnetically actuated nanoscale plates", Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 232(17), 3125-3143. https://doi.org/10.1177/0954406217728977.
  18. Ebrahimi, F. and Barati, M.R. (2018f), "Vibration analysis of parabolic shear-deformable piezoelectrically actuated nanoscale beams incorporating thermal effects", Mech. Adv. Mater. Struct., 25(11), 917-929. https://doi.org/10.1080/15376494.2017.1323141.
  19. Ebrahimi, F. and Barati, M.R. (2018g), "Nonlocal and surface effects on vibration behavior of axially loaded flexoelectric nanobeams subjected to in-plane magnetic field", Arab. J. Sci. Eng., 43(3), 1423-1433. https://doi.org/10.1007/s13369-017-2943-y.
  20. Ebrahimi, F. and Barati, M.R. (2018h), "Size-dependent thermally affected wave propagation analysis in nonlocal strain gradient functionally graded nanoplates via a quasi-3D plate theory", Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 232(1), 162-173. https://doi.org/10.1177/0954406216674243.
  21. Fenjan, R.M., Ahmed, R.A., Hamad, L.B. and Faleh, N.M. (2020), "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.
  22. Gao, N., Zhang, Z., Deng, J., Guo, X., Cheng, B, and Hou, H. (2022), "Acoustic metamaterials for noise reduction: A review", Adv. Mater. Technol., 2100698. https://doi.org/10.1002/admt.202100698.
  23. Guo, C., Zhang, Z., Wu, Y., Wang, Y., Ma, G., Shi, J. and Zhao, Y. (2022), "Synergic realization of electrical insulation and mechanical strength in liquid nitrogen for high-temperature superconducting tapes with ultra-thin acrylic resin coating", Supercond. Sci. Technol., 35(7), 075014. https://doi.org/10.1088/1361-6668/ac6e0d.
  24. Han, M.C., Cai, S.Z., Wang, J. and He, H.W. (2022), "Single-side superhydrophobicity in Si3N4-Doped and SiO2-Treated polypropylene nonwoven webs with antibacterial activity", Polym., 14(14), 2952. https://doi.org/10.3390/polym14142952.
  25. 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.
  26. Hao, R., Lu, Z., Ding, H. and Chen, L. (2022), "A nonlinear vibration isolator supported on a flexible plate: analysis and experiment", Nonlin. Dyn., 108(2), 941-958. https://doi.org/10.1007/s11071-022-07243-7.
  27. Kunbar, L.A.H., Hamad, L.B., Ahmed, R.A. and Faleh, N.M. (2020), "Nonlinear vibration of smart nonlocal magneto-electroelastic beams resting on nonlinear elastic substrate with geometrical imperfection and various piezoelectric effects", Smart Struct. Syst., 25(5), 619-630. https://doi.org/10.12989/sss.2020.25.5.619.
  28. Li, C., Jiang, T., Liu, S. and Han, Q. (2022), "Dispersion and band gaps of elastic guided waves in the multi-scale periodic composite plates", Aerosp. Sci. Technol., 124, 107513. https://doi.org/10.1016/j.ast.2022.107513.
  29. Lu, S, Ban, Y, Zhang, X, Yang, B, Liu, S, Yin, L and Zheng, W. (2022), "Adaptive control of time delay teleoperation system with uncertain dynamics", Front. Neurorobot., 16, 928863. https://doi.org/10.3389/fnbot.2022.928863.
  30. 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.
  31. 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.
  32. 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/10.1177/0309324720917285.
  33. 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.
  34. 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.
  35. 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.
  36. 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.
  37. 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.
  38. 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.
  39. 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.
  40. 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.
  41. 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.
  42. Shariati, A., Barati, M.R., Ebrahimi, F., Singhal, A. and Toghroli, A. (2020a), "Investigating vibrational behavior of graphene sheets 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.
  43. Thai, H.T., Vo, T., Bui, T. and Nguyen, T.K. (2014), "A quasi-3D hyperbolic shear deformation theory for functionally graded plates", Acta Mechanica, 225(3), 951-964. https://doi.org/10.1007/s00707-013-0994-z.
  44. Wang, H., Xie, J., Chen, Y., Liu, W. and Zhong, W. (2022), "Effect of CoCrFeNiMn high entropy alloy interlayer on microstructure and mechanical properties of laser-welded NiTi/304SS joint", J. Mater. Res. Technol., 18, 1028-1037. https://doi.org/10.1016/j.jmrt.2022.03.022.
  45. Wu, Y., Zhao, Y., Han, X., Jiang, G., Shi, J., Liu, P. and Yamada, Y. (2021), "Ultra-fast growth of cuprate superconducting films: Dual-phase liquid assisted epitaxy and strong flux pinning", Mater. Today Phys., 18, 100400. http://doi.org/10.1016/j.mtphys.2021.100400.
  46. Xu, H., He, T., Zhong, N., Zhao, B. and Liu, Z. (2022), "Transient thermomechanical analysis of micro cylindrical asperity sliding contact of SnSbCu alloy", Tribol. Int., 167, 107362. https://doi.org/10.1016/j.triboint.2021.107362.
  47. Yang, G., Feng, X., Wang, W., OuYang, Q. and Liu, L. (2021), "Effective interlaminar reinforcing and delamination monitoring of carbon fibrous composites using a novel nano-carbon woven grid", Compos. Sci. Technol., 213, 108959. https://doi.org/10.1016/j.compscitech.2021.108959.
  48. Zhang, H., Liu, Y. and Deng, Y. (2021b), "Temperature gradient modeling of a steel box-girder suspension bridge using Copulas probabilistic method and field monitoring", Adv. Struct. Eng., 24(5), 947-961. https://doi.org/10.1177/1369433220971779.
  49. Zhang, L., Huang, M., Li, M., Lu, S., Yuan, X. and Li, J. (2021a), "Experimental study on evolution of fracture network and permeability characteristics of bituminous coal under repeated mining effect", Nat. Res. Res., 31(1), 463-486. https://doi.org/10.1007/s11053-021-09971-w.
  50. Zhang, L., Huang, M., Xue, J., Li, M. and Li, J. (2021c), "Repetitive mining stress and pore pressure effects on permeability and pore pressure sensitivity of bituminous coal", Nat. Res. Res., 30(6), 4457-4476. https://doi.org/10.1007/s11053-021-09902-9.
  51. Zhang, L., Li, J., Xue, J., Zhang, C. and Fang, X. (2021d), "Experimental studies on the changing characteristics of the gas flow capacity on bituminous coal in CO2-ECBM and N-2-ECBM", Fuel (Guildford), 291, 120115. https://doi.org/10.1016/j.fuel.2020.120115.
  52. Zhang, T., Yang, L., Zhang, C., Feng, Y., Wang, J., Shen, Z. and Chi, Q. (2022), "Polymer dielectric films exhibiting superior high-temperature capacitive performance by utilizing an inorganic insulation interlayer", Mater. Horiz., 9(4), 1273-1282. https://doi.org/10.1039/D1MH01918J.
  53. Zhong, Y., Xie, J., Chen, Y., Yin, L., He, P. and Lu, W. (2022), "Microstructure and mechanical properties of micro laser welding NiTiNb/Ti6Al4V dissimilar alloys lap joints with nickel interlayer", Mater. Lett., 306, 130896. https://doi.org/10.1016/j.matlet.2021.130896.
  54. Zhou, J., Bai, J. and Liu, Y. (2022b), "Fabrication and modeling of matching system for air-coupled transducer", Micromach., 13(5), 781. https://doi.org/10.3390/mi13050781.
  55. Zhou, X., Bai, Y., Nardi, D. C., Wang, Y., Wang, Y., Liu, Z. and Florez-Lopez, J. (2022a), "Damage evolution modeling for steel structures subjected to combined high cycle fatigue and highintensity dynamic loadings", Int. J. Struct. Stab. Dyn., 22, 2240012. https://doi.org/10.1142/S0219455422400120.