Normal form representation of the aeroelastic response of the Goland wing

Ali H. Nayfeh, Mehdi Ghommem, Muhammad R. Hajj

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

We follow two approaches to derive the normal form that represents the aeroelastic response of the Goland wing. Such a form constitutes an effective tool to model the main physical behaviors of aeroelastic systems and, as such, can be used for developing a phenomenological reduced-order model. In the first approach, an approximation of the wing's response near the Hopf bifurcation is constructed by directly applying the method of multiple scales to the two coupled partial-differential equations of motion. In the second approach, we apply the same method to a Galerkin discretized model that is based on the mode shapes of a cantilever beam. The perturbation results from both approaches are verified by comparison with results from numerical integration of the discretized equations.

Original languageEnglish
Pages (from-to)1847-1861
Number of pages15
JournalNonlinear Dynamics
Volume67
Issue number3
DOIs
StatePublished - Feb 2012

Keywords

  • Goland wing
  • Multiple scales method
  • Nonlinear aeroelasticity
  • Normal form
  • Perturbations

Fingerprint

Dive into the research topics of 'Normal form representation of the aeroelastic response of the Goland wing'. Together they form a unique fingerprint.

Cite this