Analysis of Transonic Limit Cycle Oscillations under Uncertainty

Richard Hayes, Simão Marques, Weigang Yao

Research output: Contribution to conferencePaperpeer-review

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For the computation of limit cycle oscillations (LCO) at transonic speeds, CFD is required to capture the nonlinear flow features present. The Harmonic Balance method provides an effective means for the computation of LCOs and this paper exploits its efficiency to investigate the impact of variability (both structural a nd aerodynamic) on the aeroelastic behaviour of a 2 dof aerofoil. A Harmonic Balance inviscid CFD solver is coupled with the structural equations and is validated against time marching analyses. Polynomial chaos expansions are employed for the stochastic investiga tion as a faster alternative to Monte Carlo analysis. Adaptive sampling is employed when discontinuities are present. Uncertainties in aerodynamic parameters are looked at first followed by the inclusion of structural variability. Results show the nonlinear effect of Mach number and it’s interaction with the structural parameters on supercritical LCOs. The bifurcation boundaries are well captured by the polynomial chaos.
Original languageEnglish
Publication statusPublished - 08 Oct 2014
EventRoyal Aeronautical Society Aircraft 4th Structural Design Conference - Belfast, United Kingdom
Duration: 07 Oct 201409 Oct 2014


ConferenceRoyal Aeronautical Society Aircraft 4th Structural Design Conference
Country/TerritoryUnited Kingdom


  • CFD
  • Aeroelasticity
  • Harmonic Balance
  • Uncertainty

ASJC Scopus subject areas

  • Aerospace Engineering
  • Computational Mechanics


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