Flutter suppression of a plate-like wing via parametric excitation

Nonlinear Dynamics

Volumn 46, Issue 4, 2006, Pages 387-426

  Ibrahim, R A ^a   Castravete, S C ^a  

^a Wayne State University   (United States)

Author keywords

Aerodynamic Theodorsen theory; Bending torsion coupling; Firing phenomenon; Parametric combination resonance; Wing flutter

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; HAMILTONIANS; OSCILLATIONS; PENDULUMS; RESONANCE; STABILIZATION;

AERODYNAMIC THEODORSEN THEORY; BENDING TORSION COUPLING; PARAMETRIC COMBINATION RESONANCE; PARAMETRIC EXCITATION; WING FLUTTER;

FLUTTER (AERODYNAMICS);

EID: 33749603365     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-006-9031-2     Document Type: Article

References (54)

1. Bisplinghoff, R.L., Ashley, H., Halfman, R.L.: Aeroelasticity. Addison-Wesley, Reading, MA (1955)
2. Bisplinghoff, R.L., Ashley, H.: Principles of Aeroelastlcity. Dover, NY (1962)
3. Fung, Y.C.: Introduction to the Theory of Aeroelasticity. Dover, NY (1968)
4. Dowell, E.H., Cuitis, H.C., Scanlan, R.H., Sisto, F.: A Modern Course in Aeroelasticity. Sijthoff & Noordhoff, Alphen den Rijn, The Netherlands (1976)
5. Bolotin, V.V.: The Dynamic Stability of Elastic Systems. Holden-Day, San Francisco, CA (1964)
6. Barr, A. D.: Some developments in parametric stability and nonlinear vibration. In: Proceedings of the International Conference on Recent Advances in Structural Dynamics. Southampton, England, pp. 545-568 (1980)
7. Breitbach, E.J.: Effect of structural nonlinearities on aircraft vibration. Advisory Group for Aerospace Research and Development of NATO, AGARD Report No. 665 (1977)
8. Breitbach, E.J.: Flutter analysis of an airplane with multiple structural nonlinearities in the control system. NASA Technical Report No 1620 (1980)
9. De Ferrari, G., Chesta, L., Sensburg, O., Lotze, A.: Effects of nonlinearity of wing-store flutter. Advisory Group for Aerospace Research and Development of NATO, AGARD Report No. 687 (1980)
10. Peloubet, R.P., Jr., Haller, R.L., Bolding R.M.: F-16 flutter suppression system investigation. In: Proceedings of the AIAA/ASME/ASCE/AHS 21st Structures, Structural Dynamics & Materials Conference. Seattle, WA, pp. 620-634 (1980)
11. Reed, W.H. III, Foughner, J.T., Jr. Runyan, H.L.: Decoupler pylon: A simple effective wing/store suppressor. J. Aircraft. 17(3), 206-211 (1980)
12. Desmarais, R.N., Reed, W.H. III: Wing/store flutter with non-linear pylon stiffness. J. Aircraft 19(11), 984-987 (1981)
13. Lee, B.H.K., Price, S.J., Wong, Y.S.: Nonlinear aeroelastic analysis of airfoils: bifurcation and chaos. Prog. Aerospace Sci. 35, 205-334 (1999)
14. Laurenson, R.M., Trn, R.M.: Flutter analysis of missile control surfaces containing structural nonlinearities. AIAA J. 18(10), 1245-1251 (1980)
15. Woolston, D.S., Runyan, H.W., Andrews, R.E.: An investigation of effects of certain type of structural nonlinearities on wing and control surface flutter. J. Aeronaut. Sci. 24, 57-63 (1957)
16. Kim, S.H., Lee, I.: Aeroelastic analysis of a flexible airfoil with a free-play non-linearity. J. Sound Vib. 193(4), 823-846 (1996)
17. Yang, Z.C., Zhao, L.C.: Analysis of limit cycle flutter of an airfoil in incompressible flow. J. Sound Vib. 123(1), 1-13 (1988)
18. Alighanbari, H.: Aeroelastic response of an airfoil-aileron combination with free-play in aileronhinge. J. Aircraft 39(4), 711-713 (2002)
19. Bae, J.S., Lee, I.: Limit cycle oscillation of missile control fin with structural nonlinearity. J. Sound Vib. 269(3-5), 669-687 (2004)
20. Bae, J.S., Yang, S.M., Lee, I.: Linear and nonlinear aeroelastic analysis of fighter-type wing with control surface. J. Aircraft 39, 697-708 (2002)
21. Bae, J.S., Kim, D.K., Shin, W.H., Lee, I., Kim, S.H.: Nonlinear aeroelastic analysis of deployable missile control fin. J. Spacecraft Rockets 41(2), 264-271 (2004)
22. Bae, J.S., Inman, D.J., Lee, I.: Effects of structural nonlinearity on subsonic aeroelastic characteristics of an aircraft wing with control surface. J. Fluids Struct. 19, 747-763 (2004)
23. Ueda, T. Dowell, E. H.: A new solution method for lifting surfaces in subsonic flow. AIAA J. 20, 348-355 (1982)
24. Zhao, Y.H., Hu, H.Y.: Aeroelastic analysis of a nonlinear airfoil based on unsteady vortex lattice model. J. Sound Vib. 276, 491-510 (2004)
25. Lee, B.H.K., Jiang, L.Y., Wong, Y.S.: Flutter of an airfoil with a cubic restoring force. J. Fluids Struct. 13, 75-101 (1999)
26. Lee, B.H.K., Liu, L., Chung, K.W.: Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces. J. Sound Vib. 281, 699-717 (2005)
27. Liu, L., Wong, Y.S., Lee, B.H.K.: Application of the centre manifold theory in non-linear aeroelasticity. J. Sound Vib. 234(4), 641-659 (2000)
28. Liu, L., Dowell, E.H.: The secondary bifurcation of an aeroelastic airfoil motion: effects of high harmonics. Nonlinear Dyn. 37, 31-49 (2004)
29. Zhao, L.C., Yang, Z.C.: Chaotic motions of an airfoil with non-linear stiffness in incompressible flow. J. Sound Vibrat. 138(2), 245-254 (1990)
30. Price, S.J., Alighanbari, H., Lee, B.H.K.: The aeroelastic response of a two-dimensional airfoil with bilinear and cubic structural nonlinearities. J. Fluids Struct. 9, 175-193 (1995)
31. Singh, S.N., Brenner, M.: Limit cycle oscillation and orbital stability in aeroelastic systems with torsional nonlinearity. Nonlinear Dyn. 31, 435-450 (2003)
32. Dessi, D., Mastroddi, F.: Limit-cycle stability reversal via singular perturbation and wing-flap flutter. J. Fluids Struct. 19, 765-783 (2004)
33. Coller, B.D., Chamara, P.A.: Structural non-linearities and the nature of the classic flutter instability. J. Sound Vib. 227, 711-739 (2004)
34. Shahrzad, P., Mahzoon, M.: Limit cycle flutter of airfoils in steady and unsteady flows. J. Sound Vib. 256(2), 213-225 (2002)
35. Gilliart, H.C., Strganac, T.W., Kurdila, A.J.: An investigation of internal resonance in aeroelastic systems. Nonlinear Dyn. 31, 1-22 (2003)
36. Marzocca, P., Librescu, L., Silva, W.: Aeroelastic response of nonlinear wing sections using a functional series technique. AIAA J. 40(5), 813-824 (2002)
37. Tang, D.M., Dowell, E.H.: Effects of geometric structural nonlinearity on flutter and limit cycle oscillations of high-aspect-ratio wings. J. Fluids Struct. 19, 291-306 (2004)
38. Ashley, H.: Some observations on four current subjects related to aeroelastic stability. Israel J. Technol. 16, 3-22 (1978)
39. Poirel, D., Price, S.J.: Random binary (coalescence) flutter of a two-dimensional linear airfoil. J. Fluids Struct. 18, 23-42 (2003)
40. Poirel, D., Price, S.J.: Response probability structure of a structurally nonlinear fluttering airfoil in turbulent flow. Prob. Eng. Mech. 18, 185-202 (2003)
41. Yates, E.C., Jr.: Calculation of flutter characteristics for finite span swept or unswept wings at subsonic and supersonic speeds by a modified strip analysis. NACA RM L47L10 (1958)
42. Garrick, I.E., Rabinow, S.I.: Flutter and oscillating air force calculations for an airfoil in a two-dimensional supersonic flow. NACA Report No 846 (1946)
43. Lesing, H.C., Troutman, J.L., Menees, G.P.: Experimental determination of the pressure distribution on a rectangular wing oscillating in the first bending mode for mach numbers from 0.24 to 1.3, NASA TN D-344 (1960)
44. Watkins, C.E., Woolston, D.S., Cunningham, H.J.: A systematic kernel function procedure for determining aerodynamic forces on oscillating or steady finite wings at subsonic speeds. NASA TR R-48 (1959)
45. Theodorsen, T.: General theory of aerodynamic instability and mechanism of flutter. NACA Report No 496 (1935)
46. Theodorsen, T., Garrick, I.E.: Mechanics of flutter: A theoretical and experimental investigation of flutter problem. NACA Report No. 685 (1940)
47. Ibrahim, R.A., Hijawi, M.: Deterministic and stochastic response of nonlinear coupled bending-torsion modes in a cantilever beam. Nonlinear Dyn. 16(3), 259-292 (1998)
48. Lumbantobing, H., Haaker, T.I.: On the parametric excitation of some nonlinear aeroelastic oscillators. J. Fluids Struct. 19, 221-237 (2004)
49. Chin, C., Nayfeh, A.H., Mook, D.T.: The response of a non-linear system with a non-semisimple one-to-one resonance to a combination resonance. Int. J. Bifurcat. Chaos 5(1), 971-982 (1995)
50. Love, A.E.H.: A Treatise on the Mathematical Theory of Elasticity. Dover, NY (1944)
51. Jones, R.T. : The unsteady lift of a wing of finite aspect ratio. NACA Report No 681 (1940)
52. Nayfeh, A.M., Mook, D.: Nonlinear Oscillations. Wiley Interscience, NY (1979)
53. Boccaletti, S., Grebogi, C., Lai, Y.-C., Mancini, H., Maza, D.: The control of chaos: theory and applications. Physics Reports No 329, 103-197 (2000)
54. Lindner, B., Garcia-Ojalvo, J., Neiman, A., Schimansky-Geier, L.: Effects of noise in excitable systems. Physics Reports No 392, 321-424 (2004)