Skip to main content
SpringerLink
Log in

Nonlinear aeroelastic analysis of temperature-dependent graphene platelet-reinforced composite lattice sandwich plates under general boundary conditions

  • Original Article
  • Published:
Archives of Civil and Mechanical Engineering Aims and scope Submit manuscript

Abstract

In this study, the nonlinear aeroelastic properties of graphene platelet-reinforced composite (GPLRC) lattice sandwich plates under general boundary conditions in supersonic airflow is investigated for the first time by considering temperature-dependent properties. Face sheets are reinforced with graphene platelets (GPLs) uniformly or linearly distributed in the thickness direction. Similarly, the lattice core trusses are reinforced with GPLs. The Halpin–Tsai model is used to calculate the effective elastic modulus of GPLRCs; Poisson’s ratio, mass density, and thermal expansion coefficient are determined by the rule of mixture. The face sheets and lattice core layer are modeled separately using the Kirchhoff plate and first-order shear deformation theories. The nonlinear strain–displacement relationship is derived by the von Karman large deformation theory. The aerodynamic load on the structure is expressed by the piston theory. The motion equations of are calculated using the Lagrange equation. Fourier series combined with auxiliary functions is used to describe the displacement components of sandwich plates. The Newmark direct integration combined with the Newton–Raphson iteration technique is employed to solve the nonlinear aeroelastic response. Finally, the influences of boundary condition, thermal load, GPL distribution pattern, and weight fraction, on the nonlinear aeroelastic properties of lattice sandwich plates are analyzed in detail.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Data availability

Data is available on request from the authors.

References

  1. Mohammad-Rezaei Bidgoli E, Arefi M. Effect of porosity and characteristics of carbon nanotube on the nonlinear characteristics of a simply-supported sandwich plate. Arch Civ Mech Eng. 2023;23:214.

    Article  Google Scholar 

  2. Liang K, Zhou ZT. An efficient method for postbuckling optimization of composite laminated plates with holes under compression and shear loading. Acta Astronaut. 2022;193:444–53.

    Article  ADS  Google Scholar 

  3. Mohammad-Rezaei Bidgoli E, Arefi M. Nonlinear vibration analysis of sandwich plates with honeycomb core and graphene nanoplatelet-reinforced face-sheets. Arch Civ Mech Eng. 2023;23:56.

    Article  Google Scholar 

  4. Li PQ, Wang KF, Wang BL. Nonlinear vibration of the sandwich beam with auxetic honeycomb core under thermal shock. Thin-Walled Struct. 2024;196: 111479.

    Article  Google Scholar 

  5. Kubota Y, Miyamoto O, Aoki T, Ishida Y, Ogasawara T, Umezu S. New thermal protection system using high-temperature carbon fibre-reinforced plastic sandwich panel. Acta Astronaut. 2019;160:519–26.

    Article  ADS  CAS  Google Scholar 

  6. Le VT, Ha NS, Goo NS. Advanced sandwich structures for thermal protection systems in hypersonic vehicles: a review. Compos B Eng. 2021;226: 109301.

    Article  Google Scholar 

  7. Wang CX, Wang YW, Liu YZ. Aerothermoelastic analysis of GPL-reinforced composite lattice sandwich beams based on a refined equivalent model. Eng Anal Bound Elem. 2023;150:56–69.

    Article  MathSciNet  Google Scholar 

  8. Zhang W, Wang CX, Wang YW, Mao JJ, Liu YZ. Nonlinear vibration responses of lattice sandwich beams with FGM facesheets based on an improved thermo-mechanical equivalent model. Structures. 2022;44:920–32.

    Article  Google Scholar 

  9. Wang M, Li ZM, Qiao PZ. Vibration analysis of sandwich plates with carbon nanotube-reinforced composite face-sheets. Compos Struct. 2018;200:799–809.

    Article  Google Scholar 

  10. Li C, Yang J, Shen HS. Postbuckling of pressure-loaded auxetic sandwich cylindrical shells with FG-GRC facesheets and 3D double-V meta-lattice core. Thin-Walled Struct. 2022;177: 109440.

    Article  Google Scholar 

  11. Chai YY, Li FM, Zhang CZ. A new method for suppressing nonlinear flutter and thermal buckling of composite lattice sandwich beams. Acta Mech. 2022;233(1):121–36.

    Article  MathSciNet  Google Scholar 

  12. Watts G, Kumar R, Singh S, Sengar V, Reddy GR, Patel SN. Postbuckling and postbuckled vibration behaviour of imperfect trapezoidal sandwich plates with FG-CNTRC face sheets under nonuniform loadings. Aerosp Sci Technol. 2022;127: 107716.

    Article  Google Scholar 

  13. Du YT, Keller T, Zhu YF, Wei PY, Wang Y, Xiong J. Mechanical behavior and failure of carbon fiber-reinforced composite sandwich structure inspired by curved-crease origami. Compos Struct. 2023;316: 117033.

    Article  Google Scholar 

  14. Lv HY, Shi SS, Chen BZ, Ma JX, Sun Z. Low-velocity impact response of composite sandwich structure with grid–honeycomb hybrid core. Int J Mech Sci. 2023;246: 108149.

    Article  Google Scholar 

  15. Zhao SY, Zhao Z, Yang ZC, Ke LL, Kitipornchai S, Yang J. Functionally graded graphene reinforced composite structures: a review. Eng Struct. 2020;210: 110339.

    Article  Google Scholar 

  16. Guo LJ, Mao JJ, Zhang W, Liu YZ, Chen J, Zhao W. Modeling and analyze of behaviors of functionally graded graphene reinforced composite beam with geometric imperfection in multiphysics. Aerosp Sci Technol. 2022;127: 107722.

    Article  Google Scholar 

  17. Guo LJ, Mao JJ, Zhang W, Wu MQ. Stability analyses of cracked functionally graded graphene-platelets reinforced composite beam covered with piezoelectric layers. Int J Struct Stab Dyn. 2023;23(14): 2350164.

    Article  MathSciNet  Google Scholar 

  18. Teng MW, Wang YQ. Nonlinear forced vibration of simply supported functionally graded porous nanocomposite thin plates reinforced with graphene platelets. Thin-Walled Struct. 2021;164: 107799.

    Article  Google Scholar 

  19. Chai QD, Wang YQ. Traveling wave vibration of graphene platelet reinforced porous joined conical-cylindrical shells in a spinning motion. Eng Struct. 2022;252: 113718.

    Article  Google Scholar 

  20. Song MT, Li XQ, Kitipornchai S, Bi QS, Yang J. Low-velocity impact response of geometrically nonlinear functionally graded graphene platelet-reinforced nanocomposite plates. Nonlinear Dyn. 2018;95:2333–52.

    Article  Google Scholar 

  21. Feng C, Kitipornchai S, Yang J. Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs). Compos B Eng. 2017;110:132–40.

    Article  CAS  Google Scholar 

  22. Zhao SY, Zhang YY, Wu HL, Zhang YH, Yang J. Functionally graded graphene origami-enabled auxetic metamaterial beams with tunable buckling and postbuckling resistance. Eng Struct. 2022;268: 114763.

    Article  Google Scholar 

  23. Liu J, Zhang YY, Zhang YH, Kitipornchai S, Yang J. Aeroelastic analyses of functionally graded aluminium composite plates reinforced with graphene nanoplatelets under fluid-structural interaction. Aerosp Sci Technol. 2023;136: 108254.

    Article  Google Scholar 

  24. Song ZG, Li FM. Aeroelastic analysis and active flutter control of nonlinear lattice sandwich beams. Nonlinear Dyn. 2013;76(1):57–68.

    Article  MathSciNet  Google Scholar 

  25. Zhou XP, Wang YW, Zhang W. Vibration and flutter characteristics of GPL-reinforced functionally graded porous cylindrical panels subjected to supersonic flow. Acta Astronaut. 2021;183:89–100.

    Article  ADS  CAS  Google Scholar 

  26. Tian W, Zhao T, Gu YS, Yang ZC. Nonlinear flutter suppression and performance evaluation of periodically embedded nonlinear vibration absorbers in a supersonic FGM plate. Aerosp Sci Technol. 2022;121: 107168.

    Article  Google Scholar 

  27. Su Z, Wang LF, Sun KP, Wang D. Vibration characteristic and flutter analysis of elastically restrained stiffened functionally graded plates in thermal environment. Int J Mech Sci. 2019;157–158:872–84.

    Article  Google Scholar 

  28. Chai YY, Song ZG, Li FM. Investigations on the influences of elastic foundations on the aerothermoelastic flutter and thermal buckling properties of lattice sandwich panels in supersonic airflow. Acta Astronaut. 2017;140:176–89.

    Article  ADS  Google Scholar 

  29. Chai YY, Li FM, Song ZG. Nonlinear flutter suppression and thermal buckling elimination for composite lattice sandwich panels. AIAA J. 2019;57(11):4863–72.

    Article  ADS  CAS  Google Scholar 

  30. Zhou J, Xu ML, Zhang ZJ, Zheng T. Vibration and aeroelastic stability analysis of hexagonal honeycomb core sandwich panels in supersonic airflow. Thin-Walled Struct. 2022;180: 109746.

    Article  Google Scholar 

  31. Zhang ZP, Wang YW, Zhang W. Temperature- and moisture-dependent aeroelastic stability of graphene platelet reinforced nanocomposite lattice sandwich plates subjected to supersonic flow. Aerosp Sci Technol. 2023;138: 108348.

    Article  Google Scholar 

  32. Lou J, Ma L, Wu LZ. Free vibration analysis of simply supported sandwich beams with lattice truss core. Mater Sci Eng, B. 2012;177(19):1712–6.

    Article  CAS  Google Scholar 

  33. Liu LX, Yang WY, Chai YY, Zhai GF. Vibration and thermal buckling analyses of multi-span composite lattice sandwich beams. Arch Appl Mech. 2021;91(6):2601–16.

    Article  Google Scholar 

  34. Guzmán de Villoria R, Miravete A. Mechanical model to evaluate the effect of the dispersion in nanocomposites. Acta Mater. 2007;55(9):3025–31.

    Article  ADS  Google Scholar 

  35. Wang YW, Xie K, Fu TR, Shi CL. Vibration response of a functionally graded graphene nanoplatelet reinforced composite beam under two successive moving masses. Compos Struct. 2019;209:928–39.

    Article  Google Scholar 

  36. Yang B, Yang J, Kitipornchai S. Thermoelastic analysis of functionally graded graphene reinforced rectangular plates based on 3D elasticity. Meccanica. 2016;52(10):2275–92.

    Article  MathSciNet  Google Scholar 

  37. Wang YW, Zhang W. On the thermal buckling and postbuckling responses of temperature-dependent graphene platelets reinforced porous nanocomposite beams. Compos Struct. 2022;296: 115880.

    Article  CAS  Google Scholar 

  38. Bisheh H, Civalek Ö. Vibration of smart laminated carbon nanotube-reinforced composite cylindrical panels on elastic foundations in hygrothermal environments. Thin-Walled Struct. 2020;155: 106945.

    Article  Google Scholar 

  39. Song ZG, Li FM. Aerothermoelastic analysis of lattice sandwich composite panels in supersonic airflow. Meccanica. 2015;51(4):877–91.

    Article  MathSciNet  Google Scholar 

  40. Song ZG, Li FM. Investigations on the flutter properties of supersonic panels with different boundary conditions. Int J Dyn Control. 2013;2(3):346–53.

    Article  Google Scholar 

  41. Tian W, Zhao T, Yang ZC. Nonlinear electro-thermo-mechanical dynamic behaviors of a supersonic functionally graded piezoelectric plate with general boundary conditions. Compos Struct. 2021;261: 113326.

    Article  Google Scholar 

  42. Chai YY, Du SJ, Li FM, Zhang CZ. Vibration characteristics of simply supported pyramidal lattice sandwich plates on elastic foundation: theory and experiments. Thin-Walled Struct. 2021;166: 108116.

    Article  Google Scholar 

  43. Wu HL, Kitipornchai S, Yang J. Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates. Mater Des. 2017;132:430–41.

    Article  CAS  Google Scholar 

  44. Li PQ, Yang ZC, Tian W. Nonlinear aeroelastic analysis and active flutter control of functionally graded piezoelectric material plate. Thin-Walled Struct. 2023;183: 110323.

    Article  Google Scholar 

Download references

Acknowledgements

This study was supported by the National Natural Science Foundation of China (No. 12102012) and the Beijing Natural Science Foundation (No. 3222006). Additionally, this work was supported by the Natural Science Foundation of Sichuan Province (2022NSFSC0316) and National Natural Science Foundation of China (No. 12102013).

Author information

Authors and Affiliations

  1. Beijing Key Laboratory on Nonlinear Vibrations and Strength of Mechanical Structures, Department of Mechanics, Beijing University of Technology, Beijing, 100124, China

    Yuewu Wang & Zhipeng Zhang

  2. Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang, 621900, Sichuan, China

    Ke Xie

  3. Department of Mechanics, Inner Mongolia University of Technology, Hohhot, 010051, Inner Mongolia, China

    Yaze Liu

Authors
  1. Yuewu Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhipeng Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ke Xie
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yaze Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yuewu Wang.

Ethics declarations

Conflict of interest

The authors declare that they have no known conflict of interest or personal relationships that could have appeared to influence the work reported in this paper.

Ethical approval

This article does not contain any studies with human participants performed by any of the authors.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Y., Zhang, Z., Xie, K. et al. Nonlinear aeroelastic analysis of temperature-dependent graphene platelet-reinforced composite lattice sandwich plates under general boundary conditions. Archiv.Civ.Mech.Eng 24, 88 (2024). https://doi.org/10.1007/s43452-024-00906-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s43452-024-00906-9

Keywords

Search

Navigation