Bifurcation analysis of an aeroelastic system with concentrated nonlinearities

Abdessattar Abdelkefi, Rui Vasconcellos, Flavio D. Marques, Muhammad R. Hajj

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

Analytical and numerical analyses of the nonlinear response of a three-degree-of-freedom nonlinear aeroelastic system are performed. Particularly, the effects of concentrated structural nonlinearities on the different motions are determined. The concentrated nonlinearities are introduced in the pitch, plunge, and flap springs by adding cubic stiffness in each of them. Quasi-steady approximation and the Duhamel formulation are used to model the aerodynamic loads. Using the quasi-steady approach, we derive the normal form of the Hopf bifurcation associated with the system's instability. Using the nonlinear form, three configurations including supercritical and subcritical aeroelastic systems are defined and analyzed numerically. The characteristics of these different configurations in terms of stability and motions are evaluated. The usefulness of the two aerodynamic formulations in the prediction of the different motions beyond the bifurcation is discussed.

Original languageEnglish
Pages (from-to)57-70
Number of pages14
JournalNonlinear Dynamics
Volume69
Issue number1-2
DOIs
StatePublished - Jul 2012

Keywords

  • Duhamel formulation
  • Nonlinear aeroelasticity
  • Normal form
  • Quasi-steady

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