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Improving aeroelastic characteristics of helicopter rotor blades in forward flight

  • Badran, Hossam T. (Aerospace Engineering Department, Cairo University) ;
  • Tawfik, Mohammad (Academy of Knowledge) ;
  • Negm, Hani M. (Aerospace Engineering Department, Cairo University)
  • Received : 2017.12.25
  • Accepted : 2018.08.31
  • Published : 2019.01.25

Abstract

Flutter is a dangerous phenomenon encountered in flexible structures subjected to aerodynamic forces. This includes aircraft, helicopter blades, engine rotors, buildings and bridges. Flutter occurs as a result of interactions between aerodynamic, stiffness and inertia forces on a structure. The conventional method for designing a rotor blade to be free from flutter instability throughout the helicopter's flight regime is to design the blade so that the aerodynamic center (AC), elastic axis (EA) and center of gravity (CG) are coincident and located at the quarter-chord. While this assures freedom from flutter, it adds constraints on rotor blade design which are not usually followed in fixed wing design. Periodic Structures have been in the focus of research for their useful characteristics and ability to attenuate vibration in frequency bands called "stop-bands". A periodic structure consists of cells which differ in material or geometry. As vibration waves travel along the structure and face the cell boundaries, some waves pass and some are reflected back, which may cause destructive interference with the succeeding waves. In this work, we analyze the flutter characteristics of a helicopter blades with a periodic change in their sandwich material using a finite element structural model. Results shows great improvements in the flutter forward speed of the rotating blade obtained by using periodic design and increasing the number of periodic cells.

Keywords

References

  1. Babu Gunda, J. and Ganguli, R. (2008), "New rational interpolation functions for finite element analysis of rotating beams", J. Mech. Sci., 50(3), 578-588. https://doi.org/10.1016/j.ijmecsci.2007.07.014
  2. Badran, H.T. (2008), "Vibration attenuation of periodic sandwich beams", M.Sc. Dissertation, Cairo University, Cairo.
  3. Badran, H.T. (2018), "Improving dynamic and aeroelastic performance of helicopter rotors using periodic design and piezo active control", Ph.D. Dissertation, Cairo University, Cairo.
  4. Badran, H.T., Tawfik, M. and Negm, H.M. (2017), "Improving wing aeroelastic characteristics using periodic design", Adv. Aircraft Spacecraft Sci., 4(4), 353-369. https://doi.org/10.12989/AAS.2017.4.4.353
  5. Banerjee, J. and Kennedy, D. (2014), "Dynamic stiffness method for inplane free vibration of rotating beams including Coriolis effects", J. Sound Vib., 333(26), 7299-7312. https://doi.org/10.1016/j.jsv.2014.08.019
  6. Bazoune, A., Khulief, Y.A., Stephen, N.G. and Mohiuddin, M.A. (2001), "Dynamic response of spinning tapered Timoshenko beams using modal reduction", Finite Elem. Anal. Des., 37(3), 199-219. https://doi.org/10.1016/S0168-874X(00)00030-5
  7. Bisplinghoff, R., Ashley, H. and Halfman, R. (1996), Aeroelasticity, Dover Publication Inc., Mineola, New York, U.S.A.
  8. Chandiramani, N.K., Shete, C.D. and Librescu, L.I. (2003), "Vibration of higher-order-shearable pretwisted rotating composite blades", J. Mech. Sci., 45(12), 2017-2041. https://doi.org/10.1016/j.ijmecsci.2004.02.001
  9. Chen, J., Ding, Y. and Ding, H. (2016), "An efficient approach for dynamic analysis of a rotating beam using the discrete singular convolution", P. I. Mech. Eng. C. J. Mec., 230(20), 3642-3654. https://doi.org/10.1177/0954406215616142
  10. Chung, J. and Yoo, H.H. (2002), "Dynamic analysis of a rotating cantilever beam by using the finite element method", J. Sound Vib., 249(1), 147-164. https://doi.org/10.1006/jsvi.2001.3856
  11. Don, M., Palmeri, A., Lombardo, M. and Cicirello, A. (2015), "An efficient two-node finite element formulation of multi-damaged beams including shear deformation and rotatory inertia", Comput. Struct., 147(C), 96-106. https://doi.org/10.1016/j.compstruc.2014.10.002
  12. El-Din, M.A. and Tawfik, M. (2006), "Vibration attenuation in rotating beams with periodically distributed piezoelectric controllers", Proceedings of the 13th International Congress on Sound and Vibration (ICSV'06), Vienna, Austria, July.
  13. Faulkner, M. and Hong, D. (1985), "Free vibrations of a mono-coupled periodic system", J. Sound Vib., 99(1), 29-42. https://doi.org/10.1016/0022-460X(85)90443-2
  14. Filippi, M. and Carrera, E. (2015), "Flutter analysis of fixed and rotary wings through a one-dimensional unified formulation", Compos. Struct., 133, 381-389. https://doi.org/10.1016/j.compstruct.2015.07.103
  15. Friedman, Z. and Kosmatka, J.B. (1993), "An improved two-node Timoshenko beam finite element", Comput. Struct., 47(3), 473-481. https://doi.org/10.1016/0045-7949(93)90243-7
  16. Gerstenberger, W. and Wood, E.R. (1963), "Analysis of Helicopter Aeroelastic Characteristics in High-Speed Flight", AIAA Journal, 1(10), 2366-2381. https://doi.org/10.2514/3.2068
  17. Guertin, M. (2012), "The application of finite element methods to aeroelastic lifting surface flutter", Ph.D. Dissertation, Rice University, Houston, Texas, U.S.A.
  18. Gupta, G.S. (1970), "Natural flexural waves and the normal modes of periodically-supported beams and plates", J. Sound Vib., 13(1), 89-101. https://doi.org/10.1016/S0022-460X(70)80082-7
  19. Hammond, C.E. (1969), "Compressibility effects in helicopter rotor blade flutter", Ph.D. Dissertation, Georgia Institute of Technology, Atlanta, U.S.A.
  20. Hollowell, S.J. and Dugundji, J. (1984), "Aeroelastic flutter and divergence of stiffness coupled, graphite/epoxy cantilevered plates", J. Aircraft, 21(1), 69-76. https://doi.org/10.2514/3.48224
  21. Jones, W. and Rao, B. (1970) "Compressibility effects on oscillating rotor blades in hovering flight", AIAA Journal, 8(2), 321-329. https://doi.org/10.2514/3.5663
  22. Jung, S.N., Nagaraj, V.T. and Chopra, I. (2001), "Refined structural dynamics model for composite rotor blades", AIAA Journal, 39(2), 339-348. https://doi.org/10.2514/2.1310
  23. Kapur, K.K. (1966), "Vibrations of a Timoshenko beam, using finite-element approach", J. Acoustical Soc. America, 40(5), 1058-1063. https://doi.org/10.1121/1.1910188
  24. Kee, Y.J. and Shin, S.J. (2015), "Structural dynamic modeling for rotating blades using three dimensional finite elements", J. Mech. Sci. Technol., 29(4), 1607-1618. https://doi.org/10.1007/s12206-015-0332-6
  25. Lee, S.Y. and Lin, S.M. (1994), "Bending vibrations of rotating nonuniform Timoshenko beams with an elastically restrained root", J. Appl. Mech. T. ASME, 61(4), 949-955. https://doi.org/10.1115/1.2901584
  26. Lim, I.G. and Lee, I. (2009), "Aeroelastic analysis bearingless rotors with a composite flexbeam", Compos. Struct., 88(4), 570-578. https://doi.org/10.1016/j.compstruct.2008.06.007
  27. Lin, S.M., Lee, S.Y. and Wang, W.R. (2004), "Dynamic analysis of rotating damped beams with an elastically restrained root", J. Mech. Sci., 46(5), 673-693. https://doi.org/10.1016/j.ijmecsci.2004.05.011
  28. Loewy, R.G. (1957), "A two-dimensional approximation to the unsteady aerodynamics of rotary wings", J. Aeronaut. Sci., 24(2), 81-92. https://doi.org/10.2514/8.3777
  29. McCalley, R. (1963), "Rotary inertia correction for mass matrices", Report DIG/SA: 63-73; General Electric Knolls Atomic Power Laboratory, Schenectady, New York, U.S.A.
  30. Mead, D. (1996), "Wave propagation in continuous periodic structures: Research contributions from Southampton, 1964-1995", J. Sound Vib., 190(3), 495-524. https://doi.org/10.1006/jsvi.1996.0076
  31. Mead, D. and Parthan, S. (1979), "Free wave propagation in two-dimensional periodic plates", J. Sound Vib., 64(3), 325-348. https://doi.org/10.1016/0022-460X(79)90581-9
  32. Mead, D. and Yaman, Y. (1991), "The response of infinite periodic beams to point harmonic forces: A flexural wave analysis", J. Sound Vib., 144(3), 507-529. https://doi.org/10.1016/0022-460X(91)90565-2
  33. Nitzsche, F., D'Assuncao, D. and Junior, C.D.M. (2015), "Aeroelastic control of non-rotating and rotating wings using the dynamic stiffness modulation principle via piezoelectric actuators", J. Intell. Mater. Syst. Struct., 26(13), 1656-1668. https://doi.org/10.1177/1045389X15572011
  34. Norman, T.R., Shinoda, P.M., Kitaplioglu, C., Jacklin, S.A. and Sheikman, A. (2002), "Low-speed wind tunnel investigation of a full-scale UH-60 rotor system", National Aeronautics and Space Administration Moffett Field CA AMES Research Center, https://apps.dtic.mil/dtic/tr/fulltext/u2/a480625.pdf.
  35. Pohit, G., Mallik, A. and Venkatesan, C. (1999), "Free out-of-plane vibrations of a rotating beam with non-linear elastomeric constraints", J. Sound Vib., 220(1), 1-25. https://doi.org/10.1006/jsvi.1998.1887
  36. Rauchenstein Jr., W.J. (2002). "A 3D Theodorsen-based rotor blade flutter model using normal modes", Ph.D. Dissertation, Naval Postgraduate School, California, U.S.A.
  37. Reddy, J.N. (2002), Energy Principles and Variational Methods in Applied Mechanics, John Wiley and Sons, New York, U.S.A.
  38. Singh, M.P. (1985), "Turbine blade dynamics - A probabilistic approach", Vib. Blades Bladed Disk Assemblies, 41-48.
  39. Theodorsen, T. (1935), "General theory of aerodynamic instability and the mechanism of flutter", NACA-TR-496; Advisory Committee for Aeronautics, Langley, VA, U.S.A.
  40. Thomas, J. and Abbas, B. (1975), "Finite element model for dynamic analysis of Timoshenko beam", J. Sound Vib., 41(3), 291-299. https://doi.org/10.1016/S0022-460X(75)80176-3
  41. Ungar, E.E. (1966), "Steady-state responses of one-dimensional periodic flexural systems", J. Acoustical Soc. America, 39(5A), 887-894. https://doi.org/10.1121/1.1909967
  42. Wood, E.R. and Hilzinger, K. (1963), "A method for determining the fully coupled aeroelastic response of helicopter rotor blades", Proceedings of American Helicopter Society 19th Annual National Forum, Washington, DC, May.
  43. Yang, S.M. and Tsao, S.M. (1997), "Dynamics of a pretwisted blade under nonconstant rotating speed", Comput. Struct., 62(4), 643-651. https://doi.org/10.1016/S0045-7949(96)00227-1
  44. Yardimoglu, B. (2010), "A novel finite element model for vibration analysis of rotating tapered Timoshenko beam of equal strength", Finite Elem. Anal. Des., 46(10), 838-842. https://doi.org/10.1016/j.finel.2010.05.003
  45. Yntema, R.T. (1955), "Simplified procedures and charts for the rapid estimation of bending frequencies of rotating beams", NACA-TN-3459; National Advisory Committee for Aeronautics. Langley Aeronautical Lab., VA, U.S.A.
  46. Zhou, C.W., Laine, J.P., Ichchou, M.N. and Zine, A.M. (2015), "Wave finite element method based on reduced model for one-dimensional periodic structures", J. Appl. Mech., 07(02), 1550018. https://doi.org/10.1142/S1758825115500180