DOI QR코드

DOI QR Code

Nonlinear dynamic characteristic of sandwich graphene platelet reinforced plates with square honeycomb core

  • Mamoon A.A. Al-Jaafari (Al-Mustansiryah University, Engineering Collage) ;
  • Ridha A. Ahmed (Al-Mustansiryah University, Engineering Collage) ;
  • Raad M. Fenjan (Al-Mustansiryah University, Engineering Collage) ;
  • Nadhim M. Faleh (Al-Mustansiryah University, Engineering Collage)
  • Received : 2021.07.14
  • Accepted : 2022.12.12
  • Published : 2023.03.10

Abstract

Nonlinear forced vibration behaviors of sandwich plates having graphene platelets (GPL) based face sheets have been researched in this article. Possessing low weight together with low stiffness, square honeycomb cores are mostly constructed by aluminum. Herein, the square shaped core has been fortified by two skins of GPL-based type in such a way that the skins have uniform and linearly graded GPL dispersions. The square shaped core has the effective material specification according to the relative density concept. The whole formulation has been represented based upon classical plate theory (CPT) while harmonic balance approach is applied for solving the problem and plotting the amplitude-frequency curves. The forced vibration behaviors of such plates are influenced by square-shaped core and the relative density, skin's height and GPL fortification.

Keywords

Acknowledgement

The authors would like to thank Mustansiriyah university (www.uomustansiriyah.edu.iq) Baghdad-Iraq for its support in the present work.

References

  1. Ahankari, S.S. and Kar, K.K. (2010), "Hysteresis measurements and dynamic mechanical characterization of functionally graded natural rubber-carbon black composites", Polymer 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", Geomech. 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. Monitor. 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. 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.
  8. 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. Manufact., 42(3), 234-243. https://doi.org/10.1016/j.compositesa.2010.11.008
  9. 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.
  10. 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.
  11. 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", Couple. Syst. Mech., 8(3), 247-257. https://doi.org/10.12989/csm.2019.8.3.247.
  12. 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.
  13. 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. Tech., 64(15), 2363-2371. https://doi.org/10.1016/j.compscitech.2004.04.002
  14. 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.
  15. 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.
  16. Lal, A. and Markad, K. (2018), "Deflection and stress behavior 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.
  17. 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.
  18. 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
  19. Metwally, I.M. (2014), "Three-dimensional finite element analysis of reinforced concrete slabs strengthened with epoxy-bonded steel plates", Adv. Conc. Construct., 2(2), 091. https://doi.org/10.12989/acc.2014.2.2.091.
  20. 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.
  21. 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.
  22. 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.
  23. 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
  24. 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.
  25. 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.
  26. 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.
  27. 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.
  28. 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.
  29. Wang, L. and Su, R.K.L. (2013), "A unified design procedure for preloaded rectangular RC columns strengthened with post-compressed plates", Adv. Concrete Construct., 1(2), 163. https://doi.org/10.12989/acc.2013.1.2.163.
  30. 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.
  31. 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 Construct., 8(3), 207-215. https://doi.org/10.12989/acc.2019.8.3.207.
  32. Zhang, L.W. (2017), "On the study of the effect of in-plane forces on the frequency parameters of CNT-reinforced composite skew plates", Composite Struct., 160, 824-837. https://doi.org/10.1016/j.compstruct.2016.10.116.
  33. 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.