Steel and Composite Structures

  • 제47권1호
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  • Pages.79-90
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  • 2023
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

On nonlinear deflection analysis and dynamic response of sandwich plates based on a numerical method

  • Yong Huang (State Key Laboratory of Chemistry and Utilization of Carbon Based Energy Resources, College of Chemistry, Xinjiang University) ;
  • Zengshui Liu (State Key Laboratory of Chemistry and Utilization of Carbon Based Energy Resources, College of Chemistry, Xinjiang University) ;
  • Shihan Ma (State Key Laboratory of Chemistry and Utilization of Carbon Based Energy Resources, College of Chemistry, Xinjiang University) ;
  • Sining Li (State Key Laboratory of Chemistry and Utilization of Carbon Based Energy Resources, College of Chemistry, Xinjiang University) ;
  • Rui Yu (College of Civil Engineering and Architecture, Xinjiang University)
  • 투고 : 2021.07.14
  • 심사 : 2022.12.22
  • 발행 : 2023.04.10
⟨ 이전 논문 다음 논문 ⟩

초록

Nonlinear forced vibration properties of three-layered plates containing graphene platelets (GPL) filled skins and an auxetic core have been inquired within the present paper. Owning reduced weight as well as reduced stiffness, rectangle-shaped auxetic cores have been frequently made from novel techniques such as additive manufacturing. Here, the rectangle shape core is amplified via the graphene-filled layers knowing that the layers possess uniform and linear graphene gradations. The rectangle shape core has the equivalent material specifications pursuant to relative density value. The sandwich plate is formulated pursuant to Kirchhoff plate theory while a numerical trend has been represented to discretize the plate equations. Next, an analytical trend has been performed to establish the deflection-frequency plots. Large deflections, core density and GPL amplification have showed remarkable impacts on dynamic response of three-layered plates.

키워드

과제정보

This work was supported by the Natural science foundation of Xinjiang Uygur Autonomous Region (general project, No.2021D01A68), Sino-Ukrainian Science and Technology Exchange Project (CU03-32), Project of Xinjiang Science and Technology Department Project (2018E02075).

참고문헌

  1. Ahankari, S.S. and Kar, K.K. (2010), "Hysteresis measurements and dynamic mechanical characterization of functionally graded natural rubber-carbon black composites", Polym. Eng. Sci., 50(5), 871-877. https://doi.org/10.1002/pen.21601.
  2. Ahmed, R.A., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections", Geom. Eng., 17(2), 175-180. https://doi.org/10.12989/gae.2019.17.2.175.
  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. Maint., 6(2), 147-159. https:// doi.org/10.12989/smm.2019.6.2.147.
  4. Al-Toki, M.H., Ali, H.A., Ahmed, R.A., Faleh, N.M. and Fenjan, R.M. (2022), "A numerical study on vibration behavior of fiber-reinforced composite panels in thermal environments", Struct. Eng. Mech., 82(6), 691-699. https://doi.org/10.12989/sem.2022.82.6.691.
  5. Barati, M.R. (2017), "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.2017.5.4.393.
  6. Barati, M.R. and Zenkour, A.M. (2018), "Analysis of postbuckling of graded porous GPL-reinforced beams with geometrical imperfection", Mech. Adv. Mater. Struct., 26(6), 503-511. https://doi.org/10.1080/15376494.2017.1400622.
  7. Barati, M.R. and Shahverdi, H. (2021), "Assessment of nonlinear vibrations of thin plates undergoing large deflection and moderate rotation using Jacobi elliptic functions", Mech. Based Des. Struct. Mach., 1-17. https://doi.org/10.1080/15397734.2021.1956329.
  8. Barati, M.R., Shahverdi, H. and Hakimelahi, B. (2022), "Analysis of nonlinear dynamic behavior of sandwich panels with cellular honeycomb cores and nanocomposite skins", Transport Porous Med., 142(1-2), 115-137. https://doi.org/10.1007/s11242-021-01641-y.
  9. Barati, M.R. and Shahverdi, H. (2022), "Vibration frequencies of meta-material plates based on the numerical calibration of shape factor for various cell patterns", Wave. Random Complex Med., 1-19. https://doi.org/10.1080/17455030.2022.2046300.
  10. Du, H., Gao, H.J. and Dai Pang, S. (2016), "Improvement in concrete resistance against water and chloride ingress by adding graphene nanoplatelet", Cement Concrete Res., 83, 114-123. https://doi.org/10.1016/j.cemconres.2016.02.005.
  11. Ebrahimi, F. and Barati, M.R. (2018a), "Influence of neutral surface position on dynamic characteristics of inhomogeneous piezo-magnetically actuated nanoscale plates", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 232(17), 3125-3143. https://doi.org/10.1177/0954406217728977.
  12. Ebrahimi, F. and Barati, M.R. (2018b), "Static stability analysis of double-layer graphene sheet system in hygrothermal environment", Microsyst. Technol., 24, 3713-3727. https://doi.org/10.1007/s00542-018-3827-0.
  13. Ebrahimi, F., Barati, M.R. and Mahesh, V. (2019a), "Dynamic modeling of smart magneto-electro-elastic curved nanobeams", Adv. Nano Res., 7(3), 145. https://doi.org/10.12989/anr.2019.7.3.145.
  14. Ebrahimi, F., Barati, M.R. and Tornabene, F. (2019b), "Mechanics of nonlocal advanced magneto-electro-viscoelastic plates", Struct. Eng. Mech. Int. J., 71(3), 257-269. https://doi.org/10.12989/sem.2019.71.3.257.
  15. Esawi, A.M.K., Morsi, K., Sayed, A., Taher, M and Lanka, S. (2011), "The influence of carbon nanotube (CNT) morphology and diameter on the processing and properties of CNT-reinforced aluminium composites", Compos. Part A Appl. Sci. Manuf., 42(3), 234-243. https://doi.org/10.1016/j.compositesa.2010.11.008
  16. Faleh, N.M., Abboud, I.K. and Nori, A.F. (2020), "Nonlinear stability of smart nonlocal magneto-electro-thermo-elastic beams with geometric imperfection and piezoelectric phase effects", Smart Struct. Syst., 25(6), 707-717. https://doi.org/10.12989/sss.2020.25.6.707.
  17. Fang, M., Wang, K., Lu, H., Yang, Y. and Nutt, S. (2009), "Covalent polymer functionalization of graphene nanosheets and mechanical properties of composites", J. Mater. Chem., 19(38), 7098-7105. https://doi.org/10.1039/B908220D.
  18. 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 non-uniform porosities", Couple. Syst. Mech., 8(3), 247-257. https://doi.org/10.12989/csm.2019.8.3.247.
  19. Feng, C., Kitipornchai, S. and Yang, J. (2017), "Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs)", Eng. Struct., 140, 110-119. https://doi.org/10.1016/j.engstruct.2017.02.052.
  20. Gojny, F.H., Wichmann, M.H.G., Kopke, U., Fiedler, B and Schulte, K. (2004), "Carbon nanotube-reinforced epoxy-composites: enhanced stiffness and fracture toughness at low nanotube content", Compos. Sci. Technol., 64(15), 2363-2371. https://doi.org/10.1016/j.compscitech.2004.04.002
  21. King, J.A., Klimek, D.R., Miskioglu, I. and Odegard, G.M. (2013), "Mechanical properties of graphene nanoplatelet/epoxy composites", J. Appl. Polymer Sci., 128(6), 4217-4223. https://doi.org/10.1002/app.38645.
  22. Kitipornchai, S., Chen, D. and Yang, J. (2017), "Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets", Mater. Des., 116, 656-665. https://doi.org/10.1016/j.matdes.2016.12.061.
  23. Lal, A. and Markad, K. (2018), "Deflection and stress behaviour of multi-walled carbon nanotube reinforced laminated composite beams", Comput. Concrete, 22(6), 501-514. https://doi.org/10.12989/cac.2018.22.6.501.
  24. Liew, K.M., Lei, Z.X. and Zhang, L.W. (2015), "Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review," Compos. Struct., 120, 90-97. https://doi.org/10.1016/j.compstruct.2014.09.041.
  25. Lin, F., Yang, C., Zeng, Q.H and Xiang, Y. (2018), "Morphological and mechanical properties of graphene-reinforced PMMA nanocomposites using a multiscale analysis", Comput. Mater. Sci., 150, 107-120. https://doi.org/10.1016/j.commatsci.2018.03.048
  26. Metwally, I.M. (2014), "Three-dimensional finite element analysis of reinforced concrete slabs strengthened with epoxy-bonded steel plates", Adv. Concrete Constr., 2(2), 091. https://doi.org/10.12989/acc.2014.2.2.091.
  27. Mirjavadi, S.S., Forsat, M., Mollaee, S., Barati, M.R., Afshari, B.M. and Hamouda, A.M.S. (2020a), "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.
  28. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A. M.S. (2020b), "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.
  29. Mirjavadi, S.S., Yahya, Y.Z., Forsat, M., Khan, I., Hamouda, A.M.S. and Barati, M.R. (2020c), "Magneto-electric effects on nonlocal nonlinear dynamic characteristics of imperfect multi-phase magneto-electro-elastic beams", J. Magnetism Magnetic Mater., 503, 166649. https://doi.org/10.1016/j.jmmm.2020.166649.
  30. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020d), "Nonlinear forced vibrations of multiscale epoxy/CNT/fiberglass truncated conical shells and annular plates via 3D Mori-Tanaka scheme", Steel Compos. Struct. Int. J., 35(6), 765-777. https://doi.org/10.12989/scs.2020.35.6.765.
  31. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2021), "Investigating nonlinear vibrations of multi-scale truncated conical shell segments with carbon nanotube/fiberglass reinforcement using a higher order conical shell theory", J. Strain Anal. Eng. Des., 56(3), 181-192. https://doi.org/10.1177/0309324720939811.
  32. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.S. (2022), "Nonlinear vibrations of variable thickness curved panels made of multi-scale epoxy/fiberglass/CNT material using Jacobi elliptic functions", Mech. Based Des. Struct. Mach., 50(7), 2333-2349. https://doi.org/10.1080/15397734.2020.1777156.
  33. Mirjavadi, S.S., Khan, I., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2023), "Analyzing nonlinear vibration of metal foam stiffened toroidal convex/concave shell segments considering porosity distribution", Mech. Based Des. Struct Mach., 51(1), 310-326. https://doi.org/10.1080/15397734.2020.1841654.
  34. Mohammed, A., Sanjayan, J.G., Nazari, A. and Al-Saadi, N.T.K. (2017), "Effects of graphene oxide in enhancing the performance of concrete exposed to high-temperature", Australian J. Civil Eng., 15(1), 61-71. https://doi.org/10.1080/14488353.2017.1372849.
  35. Nieto, A., Bisht, A., Lahiri, D., Zhang, C and Agarwal, A. (2017), "Graphene reinforced metal and ceramic matrix composites: a review. Int. Mater. Rev., 62(5), 241-302. https://doi.org/10.1080/09506608.2016.1219481
  36. Rafiee, M.A., Rafiee, J., Wang, Z., Song, H., Yu, Z.Z. and Koratkar, N. (2009), "Enhanced mechanical properties of nanocomposites at low graphene content", ACS nano, 3(12), 3884-3890. https://doi.org/10.1021/nn9010472.
  37. Rezaiee-Pajand, M., Masoodi, A.R. and Mokhtari, M. (2018), "Static analysis of functionally graded non-prismatic sandwich beams", Adv. Comput. Des., 3(2), 165-190. https://doi.org/10.12989/acd.2018.3.2.165.
  38. Shamsaei, E., de Souza, F.B., Yao, X., Benhelal, E., Akbari, A. and Duan, W. (2018), "Graphene-based nanosheets for stronger and more durable concrete: A review", Construct. Build. Mater., 183, 642-660. https://doi.org/10.1016/j.conbuildmat.2018.06.201.
  39. Shen, H.S., Xiang, Y., Lin, F. and Hui, D. (2017), "Buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates in thermal environments", Compos. Part B Eng., 119, 67-78. https://doi.org/10.1016/j.compositesb.2017.03.020.
  40. Song, M., Kitipornchai, S. and Yang, J. (2017), "Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets", Compos. Struct., 159, 579-588. https://doi.org/10.1016/j.compstruct.2016.09.070.
  41. Wang, L. and Su, R.K.L. (2013), "A unified design procedure for preloaded rectangular RC columns strengthened with post-compressed plates", Adv. Concrete Constr., 1(2), 163. https://doi.org/10.12989/acc.2013.1.2.163.
  42. Yang, B., Yang, J. and Kitipornchai, S. (2017), Thermoelastic analysis of functionally graded graphene reinforced rectangular plates based on 3D elasticity", Meccanica, 52(10), 2275-2292. https://doi.org/10.1007/s11012-016-0579-8.
  43. Zaheer, M.M., Jafri, M.S. and Sharma, R. (2019), "Effect of diameter of MWCNT reinforcements on the mechanical properties of cement composites", Adv. Concrete Constr., 8(3), 207-215. https://doi.org/10.12989/acc.2019.8.3.207.
  44. Zhang, L.W. (2017), "On the study of the effect of in-plane forces on the frequency parameters of CNT-reinforced composite skew plates", Compos. Struct., 160, 824-837. https://doi.org/10.1016/j.compstruct.2016.10.116.
  45. Zhang, Z., Li, Y., Wu, H., Zhang, H., Wu, H., Jiang, S. and Chai, G. (2020), "Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory", Mech. Adv. Mater. Struct., 27, 3-11. https://doi.org/10.1080/15376494.2018.1444216.