Prediction of limit cycle oscillations under uncertainty using a Harmonic Balance method. (February 2015)

• Record Type: Journal Article
• Authors: Hayes, Richard; Marques, Simão P.
• Is Part Of: Computers & structures. Volume 148(2015)
• Page Start: 1
• Page End: 13
• Publication Date: 2015-02
• Subjects: Aeroelasticity -- Harmonic Balance -- Limit cycle oscillations -- Uncertainty -- Bifurcation -- Nonlinear; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2014.10.010
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: We perform computations of limit cycle oscillations using a high-dimensional Harmonic Balance method. We perform uncertainty quantification for LCO using a non-intrusive polynomial chaos method. We predict super- and sub-critical bifurcations and limit cycle oscillation amplitudes on wing structures. Pentic stiffness is critical to wing subcritical LCO amplitude. Abstract: The Harmonic Balance method is an attractive solution for computing periodic responses and can be an alternative to time domain methods, at a reduced computational cost. The current paper investigates using a Harmonic Balance method for simulating limit cycle oscillations under uncertainty. The Harmonic Balance method is used in conjunction with a non-intrusive polynomial-chaos approach to propagate variability and is validated against Monte Carlo analysis. Results show the potential of the approach for a range of nonlinear dynamical systems, including a full wing configuration exhibiting supercritical and subcritical bifurcations, at a fraction of the cost of performing time domain simulations.