Advances in aircraft and spacecraft science

  • 제7권4호
  • /
  • Pages.353-369
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  • 2020
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  • 2287-528X(pISSN)
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  • 2287-5271(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

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Flutter characteristics of axially functional graded composite wing system

  • Prabhu, L. (Department of Aerospace Engineering, Lakireddy Bali Reddy College of Engineering) ;
  • Srinivas, J. (Department of Mechanical Engineering, National Institute of Technology)
  • 투고 : 2019.10.27
  • 심사 : 2020.05.16
  • 발행 : 2020.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents the flutter analysis and optimum design of axially functionally graded box beam cantilever wing section by considering various geometric and material parameters. The coupled dynamic equations of the continuous model of wing system in terms of material and cross-sectional properties are formulated based on extended Hamilton's principle. By expressing the lift and pitching moment in terms of plunge and pitch displacements, the resultant two continuous equations are simplified using Galerkin's reduced order model. The flutter velocity is predicted from the solution of resultant damped eigenvalue problem. Parametric studies are conducted to know the effects of geometric factors such as taper ratio, thickness, sweep angle as well as material volume fractions and functional grading index on the flutter velocity. A generalized surrogate model is constructed by training the radial basis function network with the parametric data. The optimized material and geometric parameters of the section are predicted by solving the constrained optimal problem using firefly metaheuristics algorithm that employs the developed surrogate model for the function evaluations. The trapezoidal hollow box beam section design with axial functional grading concept is illustrated with combination of aluminium alloy and aluminium with silicon carbide particulates. A good improvement in flutter velocity is noticed by the optimization.

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참고문헌

  1. Abbas, L.K., Chen, Q., Marzocca, P. and Milanese, A. (2008), "Non-linear aeroelastic investigations of store(s)-induced limit cycle oscillations", P. I. Mech. Eng. Part G J. Aer., 222(1), 63-80. https://doi.org/10.1243/09544100JAERO241.
  2. Alshorbagy, A.E., Eltaher, M.A. and Mahmoud, F.F. (2011), "Free vibration characteristics of a functionally graded beam by finite element method", Appl. Math. Model., 35(1), 412-425. https://doi.org/10.1016/j.apm.2010.07.006.
  3. Amoozgar, M.R., Irani, S. and Vio, G.A. (2013), "Aeroelastic instability of a composite wing with a powered-engine", J. Fluids Struct., 36, 70-82. https://doi.org/10.1016/j.jfluidstructs.2012.10.007.
  4. Asadi, H. and Wang, Q. (2017), "An investigation on the aeroelastic flutter characteristics of FG-CNTRC beams in the supersonic flow", Compos. Part B Eng., 116, 486-499. https://doi.org/10.1016/j.compositesb.2016.10.089.
  5. Basu, B. and Mahanti, G.K. (2012), "Thinning of concentric two-ring circular array antenna using firefly algorithm", Scientia Iranica, 19(6), 1802-1809. https://doi.org/10.1016/j.scient.2012.06.030.
  6. Brouwer, K.K. and McNamara, J.J. (2020), "Surrogate-based aeroelastic loads prediction in the presence of shock induced-separation", J. Fluid. Struct., 93, 102838. https://doi.org/10.1016/j.jfluidstructs.2019.102838.
  7. Burdette, D.A. and Martins, J.R.R.A. (2018), "Design of a transonic wing with an adaptive morphing trailing edge via aerostructural optimization", Aerosp. Sci. Technol., 81, 192-203. https://doi.org/10.1016/j.ast.2018.08.004.
  8. De Leon, D.M., de Souza, C.E., Fonseca, J.S.O. and da Silva, R.G.A. (2012), "Aeroelastic tailoring using fiber orientation and topology optimization", Struct. Multidisciplin. O., 46, 663-677. https://doi.org/10.1007/s00158-012-0790-8.
  9. Dillinger, J.K.S., Abdalla, M.M., Meddaikar, Y.M. and Klimmek, T. (2019), "Static aeroelastic stiffness optimization of a forward swept composite wing with CFD-corrected aero loads", CEAS Aeronaut. J., 10(4), 1015-1032. https://doi.org/10.1007/s13272-019-00397-y.
  10. Dunning, P.D., Stanford, B.K., Kim, H.A. and Jutte, C.V. (2014), "Aeroelastic tailoring of a plate wing with functionally graded materials", J. Fluid. Struct., 51, 292-312. https://doi.org/10.1016/j.jfluidstructs.2014.09.008.
  11. Fletcher, C.A.J. (1984), Computational Galerkin Methods. Springer, Berlin, Heidelberg, Germany.
  12. Francois, G., Cooper, J.E. and Weaver, P.M. (2017), "Aeroelastic tailoring using crenellated skins-modelling and experiment", Adv. Aircraft Spacecraft Sci., 4(2), 93-124. http://doi.org/10.12989/aas.2017.4.2.093.
  13. Gao, K., Li, R. and Yang, J. (2019), "Dynamic characteristics of functionally graded porous beams with interval material properties", Eng. Struct., 197, 109441. https://doi.org/10.1016/j.engstruct.2019.109441.
  14. Guan, X., Zhu, Y. and Song, W. (2016), "Application of RBF neural network improved by peak density function in intelligent color matching of wood dyeing", Chaos Solitons Fract., 89, 485-490. https://doi.org/10.1016/j.chaos.2016.02.015.
  15. Guo, S.J., Bannerjee, J.R. and Cheung, C.W. (2003), "The effect of laminate lay-up on the flutter speed of composite wings", P. I. Mech. Eng. Part G J. Aer., 217(3), 115-122. https://doi.org/10.1243/095441003322297225.
  16. Hodges, D.H. and Pierce, G.A. (2011), Introduction to Structural Dynamics and Aeroelasticity, Cambridge University Press, Cambridge, U.K.
  17. James, K.A., Kennedy, G.J. and Martins, J.R.R.A. (2014), "Concurrent aerostructural topology optimization of a wing box", Comput. Struct., 134, 1-17. https://doi.org/10.1016/j.compstruc.2013.12.007.
  18. Librescu, L. and Maalawi, K. (2007), "Material grading for improved aeroelastic stability in composite wings", J. Mech. Mater. Struct., 2(7), 1381-1394. https://doi.org/10.2140/jomms.2007.2.1381.
  19. Liu, I.W. and Lin, C.C. (1991), "Optimum design of composite wing structures by a refined optimality criterion", Compos. Struct., 17(1), 51-65. https://doi.org/10.1016/0263-8223(91)90060-C.
  20. Maalawi, K. (2011), "Functionally graded bars with enhanced dynamic performance", J. Mech. Mater. Struct., 6(1), 377-393. http://doi.org/10.2140/jomms.2011.6.377.
  21. Mazidi, A. and Fazelzadeh, S.A. (2010), "Flutter of a swept aircraft wing with a powered engine", J. Aerosp. Eng., 23(4), 243-250. http://doi.org/10.1061/(ASCE)AS.1943-5525.0000037.
  22. Mehri, M., Asadi, H. and Kouchakzadeh, M.A. (2017), "Computationally efficient model for flow-induced instability of CNT reinforced functionally graded truncated conical curved panels subjected to axial compression", Comput. Meth. Appl. Mech. Eng., 318, 957-980. https://doi.org/10.1016/j.cma.2017.02.020.
  23. Patil, M. (1997), "Aeroelastic tailoring of composite box beams", Proceedings of the 35th Aerospace Sciences Meeting and Exhibit, American Institute of Aeronautics and Astronautics, Reno, Nevada, U.S.A., January.
  24. Qin, Z. and Librescu, L. (2003), "Aeroelastic instability of aircraft wings modelled as anisotropic composite thin-walled beams in incompressible flow", J. Fluid. Struct., 18(1), 43-61. http://doi.org/10.1016/S0889-9746(03)00082-3.
  25. Sayadi, M.K., Hafezalkotob, A. and Naini, S.G.J. (2013), "Firefly-inspired algorithm for discrete optimization problems: An application to manufacturing cell formation", J. Manuf. Syst., 32(1), 78-84. https://doi.org/10.1016/j.jmsy.2012.06.004.
  26. Shukla, R. and Singh, D. (2017), "Selection of parameters for advanced machining processes using firefly algorithm", Eng. Sci. Technol., 20(1), 212-221. https://doi.org/10.1016/j.jestch.2016.06.001.
  27. Sommerwerk, K., Michels, B., Lindhorst, K., Haupt, M.C. and Horst, P. (2016), "Application of efficient surrogate modeling to aeroelastic analyses of an aircraft wing", Aerosp. Sci. Technol., 55, 314-323. https://doi.org/10.1016/j.ast.2016.06.011,
  28. Song, Z., Chen, Y., Li, Z., Sha, J. and Li, F. (2019), "Axially functionally graded beams and panels in supersonic airflow and their excellent capability for passive flutter suppression", Aerosp. Sci. Technol., 92, 668-675. https://doi.org/10.1016/j.ast.2019.06.042.
  29. Tsiatas, G.C. and Charalampakis, A.E. (2017), "Optimizing the natural frequencies of axially functionally graded beams and arches", Compos. Struct., 160, 256-266. https://doi.org/10.1016/j.compstruct.2016.10.057.
  30. Wan, Z., Yan, H., Liu, D. and Yang, C. (2005), "Aeroelastic analysis and optimization of high-aspect-ratio composite forward-swept wings", Chin. J. Aeronaut., 18(4), 317-325. https://doi.org/10.1016/S1000-9361(11)60251-3.
  31. Weisshaar, T.A. (1981), "Aeroelastic tailoring of forward swept composite wings", J. Aircraft, 18(8), 669-676. https://doi.org/10.2514/3.57542.
  32. Ziane, N., Meftah, S.A., Belhadj, H.A., Tounsi, A. and Bedia, E.A.A. (2013), "Free vibration analysis of thin and thick-walled FGM box beams", Int. J. Mech. Sci., 66, 273-282. https://doi.org/10.1016/j.ijmecsci.2012.12.001.