The secondary bifurcation of an aeroelastic airfoil motion: Effect of high harmonics


Journal Article

The nonlinear dynamical response of a two-degree-of-freedom aeroelastic airfoil motion with cubic restoring forces is investigated. A secondary bifurcation after the primary Hopf (flutter) bifurcation is detected for a cubic hard spring in the pitch degree-of-freedom. Furthermore, there is a hysteresis in the secondary bifurcation: starting from different initial conditions the motion may jump from one limit cycle to another at different fluid flow velocities. A high-order harmonic balance method is employed to investigate the possible bifurcation branches. Furthermore, a numerical time simulation procedure is used to confirm the stable and unstable bifurcation branches.

Full Text

Duke Authors

Cited Authors

  • Liu, L; Dowell, EH

Published Date

  • July 1, 2004

Published In

Volume / Issue

  • 37 / 1

Start / End Page

  • 31 - 49

International Standard Serial Number (ISSN)

  • 0924-090X

Digital Object Identifier (DOI)

  • 10.1023/B:NODY.0000040033.85421.4d

Citation Source

  • Scopus