Investigation of the role of higher order torsion & bending modes in flutter stability for flexible slender wings

Research output: Chapter in Book/Report/Conference proceedingConference contribution


A Galerkin method is used to study flutter stability of a high aspect ratio wing. Polynomial approximations of the wing mode shapes are obtained with an improved Rayleigh-Ritz method: essential and boundary conditions are taken into account by the means of Lagrange Multipliers, which improves accuracy in the natural frequencies and the mode shapes. Those polynomial functions are then used to analyze the flutter stability of the torsion, vertical bending and fore-aft bending of several variations of a tapered wing design in an eigenvalue approach. The first torsion mode was found to couple with the third out-of-plane bending mode of the swept back tapered wing, with reduced torsional rigidity. Past the coalescence point, the modes combine either torsion and high order out-of plane bending, or out-of plane and low order in-plane bending. The later plays no role in flutter stability; however it couples with the other degree of freedom at higher speed and hence may affect the response of the wing to any external disturbance.

Original languageEnglish (US)
Title of host publicationAIAA Aviation 2019 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Number of pages19
ISBN (Print)9781624105890
StatePublished - 2019
EventAIAA Aviation 2019 Forum - Dallas, United States
Duration: Jun 17 2019Jun 21 2019

Publication series

NameAIAA Aviation 2019 Forum


ConferenceAIAA Aviation 2019 Forum
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Aerospace Engineering


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