Analysis of Aircraft Nonlinear Dynamics Using Non-Gradient Based Numerical Methods and Attainable Equilibrium Sets

Multiple equilibrium solutions of aircraft motion equation are investigated using non-gradient based numerical methods and computation of attainable equilibrium sets. The proposed approach may be applied to realistic industrial scale aircraft aerodynamic models based on look-up data tables. Advantages of this method and its joint use with predictor-corrector techniques for continuation and bifurcation analysis of aircraft nonlinear dynamics are discussed. A number of computational examples for aircraft dynamics investigation are presented for a generic airliner aerodynamic model developed within the SUPRA research project – “Simulation of Upset Recovery in Aviation” – funded by the European Union 7th Framework Program.