Abstract
The aeroelastic modeling and instability of shear deformable swept wings under roll angular velocity is investigated. The structural wing model was originally developed by Librescu and consists of non-classical effects such as warping inhibition and transverse shear flexibility. This model is used to study divergence and flutter instabilities when the aircraft wing is subjected to a roll moment created during a maneuver. The aeroelastic governing equations and boundary conditions are determined via Hamilton’s variational principle. The resulting partial differential equations are transformed into a set of eigenvalue/boundary value equations through the Extended Galerkin approach and solved by numerical integration. The effects of roll angular velocity, sweep angle, and wing aspect ratio on divergence and flutter speed are presented for classic and shear deformable wings. Validations of selected results against the previous publications are also supplied. Results indicate that roll angular velocities have a significant influence on the static and dynamic aeroelastic instability region.
Similar content being viewed by others
References
Goland M.: The flutter of a uniform cantilever wing. J. Appl. Mech. 12, 197–208 (1945)
Goland M., Luke Y.L.: The flutter of a uniform wing with tip weights. J. Appl. Mech. 15, 13–20 (1948)
Librescu L.: Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures. Noordhof International Publishers, The Netherlands (1975)
Housner, J.M., Stein, M.: Flutter analysis of swept-wing subsonic aircraft with parameter studies of composite wings. NASA TN D-7539 (1974)
Lottati I.: Aeroelastic stability characteristics of a composite swept wing with tip weights for an unrestrained vehicle. J. Aircraft 24, 793–802 (1987)
Sipcic S.R., Morino L.: Dynamic behavior of fluttering two-dimensional panels on an airplane in pull-up maneuver. AIAA J. 29, 1304–1312 (1991)
Karpouzian G., Librescu L.: Comprehensive model of anisotropic composite aircraft wings suitable for aeroelastic analysis. J. Aircraft 31, 703–712 (1994)
Karpouzian G., Librescu L.: Non-classical effects on divergence and flutter of anisotropic swept aircraft wings. AIAA J. 34, 786–794 (1996)
Gern H., Librescu L.: Effect of externally mounted stores on aeroelasticity of advanced aircraft wings. Aerosp. Sci. Technol. 5, 321–333 (1998)
Hwu C., Tsai Z.S.: Aeroelastic divergence of stiffened composite multi-cell wing structures. J. Aircraft 39, 242–251 (2002)
Olsen, J.: Unified flight mechanics and aeroelasticity for accelerating, maneuvering flexible aircraft, In: Meeting on Structural Aspects of Flexible Aircraft Control. Ottawa/Canada, pp. 1–12 (1999)
Patil M.J., Hodges D.H.: Nonlinear aeroelastic analysis of composite aircraft in subsonic flow. J. Aircraft 37, 751–760 (2000)
Meirovitch, L., Tuzcu, I.: Integrated approach to the dynamics and control of maneuvering flexible aircraft. NASA Technical Report. NASA/CR-2003-211748 (2003)
Qin Z., Librescu L.: Aeroelastic instability of aircraft wings modeled as anisotropic composite thin-walled beams in incompressible flow. J. Fluid Struct. 18, 43–61 (2003)
Qin Z., Librescu L., Marzocca P.: Aeroelasticity of composite aero vehicle wings in supersonic flows. J. Spacecraft Rockets 40, 162–173 (2003)
Qin Z., Marzocca P., Librescu L.: Aeroelastic instability and response of advanced aircraft wings at subsonic flight speeds. Aerosp. Sci. Technol. 6, 195–208 (2002)
Fazelzadeh, S. A., Mazidi, A.: Nonlinear equations of motion for the maneuvering flexible aircraft wings. In: ASME-PVP-ICPVT11-93624 on CD-Rom, 6th International Symposium FSI, Aeroelasticity, FIV and Noise. Vancouver/Canada (2006)
Librescu L., Song O.: Dynamics of composite aircraft wings carrying external stores. AIAA J. 46, 568–572 (2008)
Hodges D.H., Pierce G.A.: Introduction to Structural Dynamics and Aeroelasticity. Cambridge University Press, Cambridge (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fazelzadeh, S.A., Marzocca, P., Mazidi, A. et al. Divergence and flutter of shear deformable aircraft swept wings subjected to roll angular velocity. Acta Mech 212, 151–165 (2010). https://doi.org/10.1007/s00707-009-0248-2
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-009-0248-2