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Effect of sweep angle on bifurcation analysis of a wing containing cubic nonlinearity

  • Irani, Saied (Department of Aerospace Engineering, Khaje Nasir Toosi University of Technology) ;
  • Amoozgar, Mohammadreza (Department of Aerospace Engineering, Khaje Nasir Toosi University of Technology) ;
  • Sarrafzadeh, Hamid (Department of Aerospace Engineering, Khaje Nasir Toosi University of Technology)
  • 투고 : 2015.09.06
  • 심사 : 2016.06.10
  • 발행 : 2016.10.25

초록

Limit cycle oscillations (LCO) as well as nonlinear aeroelastic analysis of a swept aircraft wing with cubic restoring moments in the pitch degree of freedom is investigated. The unsteady aerodynamic loading applied on the wing is modeled by using the strip theory. The harmonic balance method is used to calculate the LCO frequency and amplitude for the swept wing. Finally the super and subcritical Hopf bifurcation diagrams are plotted. It is concluded that the type of bifurcation and turning point location is sensitive to the system parameters such as wing geometry and sweep angle.

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참고문헌

  1. Anton, C., Deng J. and Wong, Y.S. (2012), "Hopf bifurcation analysis of an aeroelastic model using stochastic normal form", J. Sound Vib., 331, 3866-3886. https://doi.org/10.1016/j.jsv.2012.03.031
  2. Barmby, J.C., Cunningham, H.J. and Garrick, I.E. (1950), Study of effects of sweep on the flutter of cantilever wings, NACA TN 2121.
  3. Bisplinghoff, R.L., Ashley, H. and Halfman, R.L. (1955), Aeroelasticity, Addison-Wesley Publication Co., Reading, MA, USA.
  4. Breitbach, EJ. (1977), "Effect of structural nonlinearities on aircraft vibration and flutter", Proceedings of the 45th Structures and Materials AGARD Panel Meeting, AGARD Report 665, Voss, Norway.
  5. Conner, M.D., Tang, D.M., Dowell, E.H. and Virgin, L.N. (1997), "Nonlinear behavior of a typical airfoil section with a control surface freeplay: a numerical and experimental study", J. Fluid. Struct., 11, 89-109. https://doi.org/10.1006/jfls.1996.0068
  6. Dessi, D. and Mastroddi, F. (2004), "Limit-cycle stability reversal via singular perturbation and wing-flap flutter", J. Fluid. Struct., 19, 765-783. https://doi.org/10.1016/j.jfluidstructs.2004.04.010
  7. Dessi, D., Mastroddi, F. and Morino, L. (2002), "Limit-cycle stability reversal near a hopf bifurcation with aeroelastic applications", J. Sound Vib., 256, 347-365. https://doi.org/10.1006/jsvi.2001.4212
  8. Dowell, E.H., Crawley, H.C., Curtiss, H.C., Peters, D.A., Scanlan, R.H. and Sisto, F. (1995), A Modern course in Aeroelasticity, Kluwer Academic Publisher.
  9. Eken, S. and Kaya, M.O. (2015), "The effect of sweep angle on the limit cycle oscillation of aircraft wings", Adv. Aircraft Spacecraft Sci., 2, 199-215. https://doi.org/10.12989/aas.2015.2.2.199
  10. Ghadiri, B. and Razi, M. (2007), "Limit cycle oscillations of rectangular cantilever wings containing cubic nonlinearity in an incompressible flow", J. Fluid. Struct., 23, 665-680. https://doi.org/10.1016/j.jfluidstructs.2006.10.010
  11. Haddapour, H., Kouchakzadeh, M.A. and Shadmehri, F. (2008), "Aeroelastic Instability of aircraft composite wings in an incompressible flow", J. Compos. Struct., 83, 93-99. https://doi.org/10.1016/j.compstruct.2007.04.012
  12. Irani, S., Sarrafzadeh, H. and Amoozgar, M.R. (2011), "Bifurcation in a 3-DOF Airfoil with Cubic Structural Nonlinearity", Chin. J. Aeronaut., 24, 265-278. https://doi.org/10.1016/S1000-9361(11)60032-0
  13. Jones, R.T. (1940), The unsteady lift of a wing of finite aspect ratio, NACA Report 681.
  14. Kim, S.H. and Lee, I. (1996), "Aeroelastic analysis of a flexible airfoil with a freeplay nonlinearity", J. Sound Vib., 193, 923-846.
  15. Laurenson, R.M. (1980), "Flutter analysis of missile control surface containing structural nonlinearities", AIAA J., 18, 1245-1251. https://doi.org/10.2514/3.50876
  16. Lee, B.H.K. and Tron, A. (1989), "Effects of structural nonlinearities on flutter characteristics of the CF-18 aircraft", J. Aircraft, 26, 781-786. https://doi.org/10.2514/3.45839
  17. Lee, B.H.K., Gong, L. and Wong, Y. (1997), "Analysis and computation of nonlinear dynamic response of a two-degree-of freedom system and its application in Aeroelasticity", J. Fluid. Struct., 11, 225-246. https://doi.org/10.1006/jfls.1996.0075
  18. Lee, B.H.K., Liub, L. and Chung, K.W. (2005), "Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces", J. Sound Vib., 28, 699-717.
  19. O'Neil, T. and Strganac, T.W. (1998), "Aeroelastic response of a rigid wing supported by nonlinear springs", J. Aircraft, 35, 616-622. https://doi.org/10.2514/2.2345
  20. Peng, C. and Han, J. (2011), "Numerical investigation of the effects of structural geometric and material nonlinearities on limit-cycle oscillation of a cropped delta wing", J. Fluid. Struct., 27, 611-622. https://doi.org/10.1016/j.jfluidstructs.2011.03.015
  21. Sedaghat, A., Cooper, J.E., Leung, A.Y.T. and Wright, J.R. (2001), "Estimation of the hopf bifurcation point for aeroelastic systems", J. Sound Vib., 248, 31-42. https://doi.org/10.1006/jsvi.2001.3715
  22. Shen, S.F. (1977), "An approximate analysis of nonlinear flutter problems", J. Aerosp. Sci., 26, 25-32.
  23. Sheta, E.F., Harrand, V.J., Thompson, D.E. and Strganac, T.W. (2002), "Computational and experimental investigation of limit cycle oscillations of nonlinear aeroelastic systems", J. Aircraft, 39, 133-141. https://doi.org/10.2514/2.2907
  24. Tang, D., Dowell, E.H. and Virgin, L.N. (1998), "Limit cycle behavior of an airfoil with a control surface", J. Fluid. Struct., 12, 839-858. https://doi.org/10.1006/jfls.1998.0174
  25. Tang, D.M. and Dowell, E.H. (1992), "Flutter and Stall Response of a Helicopter Blade with Structural Nonlinearity", J. Aircraft, 29, 953-960. https://doi.org/10.2514/3.46268
  26. Theodorsen, T. (1935), General theory of aerodynamic instability and the mechanism of flutter, NACA Report 496.
  27. Woolston, D.S., Runyan, H.L. and Andrews, R.E. (1957), "An investigation of effects of certain types of structural nonlinearities on wing and control surface flutter", J. Aeronaut. Sci., 24, 57-63. https://doi.org/10.2514/8.3764