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

Publication ,  Journal Article
Liu, L; Dowell, EH
Published in: Nonlinear Dynamics
July 1, 2004

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.

Duke Scholars

Published In

Nonlinear Dynamics

DOI

ISSN

0924-090X

Publication Date

July 1, 2004

Volume

37

Issue

1

Start / End Page

31 / 49

Related Subject Headings

  • Acoustics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Liu, L., & Dowell, E. H. (2004). The secondary bifurcation of an aeroelastic airfoil motion: Effect of high harmonics. Nonlinear Dynamics, 37(1), 31–49. https://doi.org/10.1023/B:NODY.0000040033.85421.4d
Liu, L., and E. H. Dowell. “The secondary bifurcation of an aeroelastic airfoil motion: Effect of high harmonics.” Nonlinear Dynamics 37, no. 1 (July 1, 2004): 31–49. https://doi.org/10.1023/B:NODY.0000040033.85421.4d.
Liu L, Dowell EH. The secondary bifurcation of an aeroelastic airfoil motion: Effect of high harmonics. Nonlinear Dynamics. 2004 Jul 1;37(1):31–49.
Liu, L., and E. H. Dowell. “The secondary bifurcation of an aeroelastic airfoil motion: Effect of high harmonics.” Nonlinear Dynamics, vol. 37, no. 1, July 2004, pp. 31–49. Scopus, doi:10.1023/B:NODY.0000040033.85421.4d.
Liu L, Dowell EH. The secondary bifurcation of an aeroelastic airfoil motion: Effect of high harmonics. Nonlinear Dynamics. 2004 Jul 1;37(1):31–49.
Journal cover image

Published In

Nonlinear Dynamics

DOI

ISSN

0924-090X

Publication Date

July 1, 2004

Volume

37

Issue

1

Start / End Page

31 / 49

Related Subject Headings

  • Acoustics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences