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Nonlinear flutter response of a composite plate applying curvilinear fiber paths

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Abstract

In the present study, nonlinear flutter and post-flutter behavior of a variable stiffness composite wing-like plate is investigated. The variable stiffness is obtained by varying fiber angles continuously according to a selected curvilinear fiber path function in the composite laminates. Flutter speed, limit cycle oscillations and bifurcation diagrams of the composite plate are explored for three different fiber path functions using the nonlinear structural model obtained based on the virtual work principle. The paper aims to exploit the ideal fiber paths with enhanced aeroelastic flutter and post-flutter properties for a composite plate in supersonic flow speed. First-order linear piston theory is applied to model the aerodynamics, and generalized differential quadrature is employed to solve the governing equations. Von Karman nonlinear strain theory is used to account for the geometric nonlinearities, and first-order shear deformation theory is employed to consider the transverse shear effects in the structural model. Time integration of the equation of motion is carried out using the Newmark average acceleration method. Different curvilinear fiber paths are introduced to enhance flutter instabilities and post-flutter behavior of the composite plate. Results demonstrate that the fiber orientation has a significant effect on the dynamic behavior of the plate and the asymmetric properties as well as the behavior of the limit cycle oscillation.

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References

  1. Dowell, E.H.: Nonlinear Aeroelasticity: A Modern Course in Aeroelasticity, Solid Mechanics and Its Applications, vol. 217. Springer, Cham (2015)

    MATH  Google Scholar 

  2. Farsadi, T., Rahmanian, M., Kayran, A.: Geometrically nonlinear aeroelastic behavior of pretwisted composite wings modeled as thin walled beams. J. Fluids Struct. 83, 259–292 (2018)

    Article  Google Scholar 

  3. Tian, W., Yang, Z., Gu, Y., Wang, X.: Analysis of nonlinear aeroelastic characteristics of a trapezoidal wing in hypersonic flow. Nonlinear Dyn. 89(2), 1205–1232 (2017)

    Article  Google Scholar 

  4. Katsikadelis, J.T., Babouskos, N.G.: Flutter instability of laminated thick anisotropic plates using BEM. Acta Mech. 229(2), 613–628 (2018)

    Article  MathSciNet  Google Scholar 

  5. Zhao, M.H., Zhang, W.: Nonlinear dynamics of composite laminated cantilever rectangular plate subject to third-order piston aerodynamics. Acta Mech. 225(7), 1985–2004 (2014)

    Article  MathSciNet  Google Scholar 

  6. Abbas, L.K., Rui, X., Marzocca, P., et al.: A parametric study on supersonic/hypersonic flutter behavior of aero-thermo-elastic geometrically imperfect curved skin panel. Acta Mech. 222, 41–57 (2011)

    Article  Google Scholar 

  7. Li, F.M., Song, Z.G.: Aeroelastic flutter analysis for 2D Kirchhoff and Mindlin panels with different boundary conditions in supersonic airflow. Acta Mech. 225(12), 3339–3351 (2014)

    Article  MathSciNet  Google Scholar 

  8. Xie, D., Xu, M., Dai, H., Dowell, E.H.: Observation and evolution of chaos for a cantilever plate in supersonic flow. J. Fluids Struct. 50(2), 271–291 (2014)

    Article  Google Scholar 

  9. Xie, D., Xu, M., Dai, H., Dowell, E.H.: Proper orthogonal decomposition method for analysis of nonlinear panel flutter with thermal effects in supersonic flow. J. Sound Vib. 337, 263–283 (2015)

    Article  Google Scholar 

  10. Dowell, E.H.: Nonlinear oscillations of a fluttering plate. AIAA J. 4, 1267–1275 (1966)

    Article  Google Scholar 

  11. Xie, D., Xu, M., Dai, H., Dowell, E.H.: Observation and evolution of chaos for a cantilever plate in supersonic flow. J. Fluids Struct. 50, 271–291 (2014)

    Article  Google Scholar 

  12. Dixon, I., Mei, C.: Finite element analysis of large amplitude panel flutter of thin laminates. AIAA J. 4(31), 701 (1993)

    Article  Google Scholar 

  13. Kouchakzadeh, M.A., Rasekh, M., Haddadpour, H.: Panel flutter analysis of general laminated composite plates. Compos. Struct. 92, 2906–2915 (2010)

    Article  Google Scholar 

  14. Gurdal, Z., Olmedo, R.: In-plane response of laminates with spatially varying fiber orientations: variable stiffness concept. AIAA J. 31(4), 751–758 (1993)

    Article  Google Scholar 

  15. Gürdal, Z., Tatting, B.F., Wu, C.K.: Variable stiffness composite panels: effects of stiffness variation on the in-plane and buckling response. Compos. Part A Appl. Sci. Manuf. 39, 911–922 (2008)

    Article  Google Scholar 

  16. Zamani, Z., Haddadpour, H., Ghazavi, M.: Curvilinear fiber optimization tools for design thin walled beams. Thin-Walled Struct. 49(3), 448–454 (2011)

    Article  Google Scholar 

  17. Haddadpour, H., Zamani, Z.: Curvilinear fiber optimization tools for aeroelastic design of composite wings. J. Fluids Struct. 33, 180–190 (2012)

    Article  Google Scholar 

  18. Gunay, M.G., Timarci, T.: Static analysis of thin-walled laminated composite closed-section beams with variable stiffness. Compos. Struct. 182, 67–78 (2017)

    Article  Google Scholar 

  19. Akhavan, H., Ribeiro, P.: Natural modes of vibration of variable stiffness composite laminates with curvilinear fibers. Compos. Struct. 93(11), 3040–3047 (2011)

    Article  Google Scholar 

  20. Fazilati, J.: Panel flutter of curvilinear composite laminated plates in the presence of delamination. J. Compos. Mater. 52(20), 2789–2801 (2018)

    Article  Google Scholar 

  21. Kuo, S.Y.: Flutter of thermally buckled angle-ply laminates with variable fiber spacing. J. Compos. Part B 95, 240–251 (2016)

    Article  Google Scholar 

  22. Khalafi, V., Fazilati, J.: Supersonic panel flutter of variable stiffness composite laminated skew panels subjected to yawed flow by using NURBS-based isogeometric approach. J. Fluids Struct. 82, 198–214 (2018)

    Article  Google Scholar 

  23. Akhavan, H., Ribeiro, P.: Aeroelasticity of composite plates with curvilinear fibers in supersonic flow. Compos. Struct. 194, 335–344 (2018)

    Article  Google Scholar 

  24. Akhavan, H., Ribeiro, P.: Reduced-order models for nonlinear flutter of composite laminates with curvilinear fibers. AIAA J. 57(7), 1–14 (2019)

    Article  Google Scholar 

  25. Kurtaran, H.: Large displacement static and transient analysis of functionally graded deep curved beams with generalized differential quadrature method. Compos. Struct. 131, 821–831 (2015)

    Article  Google Scholar 

  26. Kurtaran, H.: Geometrically nonlinear transient analysis of thick deep composite curved beams with generalized differential quadrature method. Compos. Struct. 128, 241–250 (2015)

    Article  Google Scholar 

  27. Amibili, M.: Nonlinear Mechanics of Shells and Plates: Composite, Soft and Biological Materials. Cambridge University Press, New York (2018)

    Book  Google Scholar 

  28. Alijani, F., Amabili, M.: Non-linear static bending and forced vibrations of rectangular plates retaining non-linearities in rotations and thickness deformation. Int. J. Non-Linear Mech. 67, 394–404 (2014)

    Article  Google Scholar 

  29. Alijani, F., Amabili, M., Balasubramanian, P., Carra, S., Ferrari, G., Garziera, R.: Damping for large-amplitude vibrations of plates and curved panels, part 1: modeling and experiments. Int. J. Non-Linear Mech. 85, 23–40 (2016)

    Article  Google Scholar 

  30. Amabili, M., Alijani, F., Delannoy, J.: Damping for large-amplitude vibrations of plates and curved panels, part 2: identification and comparisons. Int. J. Non-Linear Mech. 85, 226–240 (2016)

    Article  Google Scholar 

  31. Guo, X.: Shape memory alloy applications on control of thermal buckling, panel flutter and random vibration of composite panels. Ph.D. Thesis, Old Dominion University, Norfolk, VA (May 2005)

  32. Abdel-Motagaly, K., Guo, X., Duan, B., Mei, C.: Active control of nonlinear panel flutter under yawed supersonic flow. AIAA J. 43(3), 671–680 (2005)

    Article  Google Scholar 

  33. Javanshir, J., Farsadi, T., Yuceoglu, U.: Free vibrations of composite base plates stiffened by two adhesively bonded plate strips. J. Aircr. 49(4), 1135–1152 (2012)

    Article  Google Scholar 

  34. Javanshir, J., Farsadi, T., Yuceoglu, U.: Free flexural vibration response of integrally-stiffened and/or stepped-thickness composite plates or panels. Int. J. Acoust. Vib. 19(2), 114–126 (2014)

    Google Scholar 

  35. Farsadi, T., Heydarnia, E., Amani, P.: Buckling behaviour of composite triangular plates. J. GEOMATE 2(2 (Sl. No. 4)), 253–260 (2012)

    Google Scholar 

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Correspondence to Touraj Farsadi.

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Farsadi, T., Asadi, D. & Kurtaran, H. Nonlinear flutter response of a composite plate applying curvilinear fiber paths. Acta Mech 231, 715–731 (2020). https://doi.org/10.1007/s00707-019-02564-y

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  • DOI: https://doi.org/10.1007/s00707-019-02564-y

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