Bred Vector for Analysis of Helicopter Main Rotor Dynamics

The dynamics of helicopter main rotor is described by a highly nonlinear equations, and it is responsible to provide the sustentation of the rotorcraft. The representative frequency to this dynamics are associated to different regimes: unstable, periodic, and even chaotic behavior. The system responses are investigate performing several simulations under a set of numerical values of frequency. One important subject is to evaluate the goodness of the prediction of the simulated dynamics. The dynamical analysis is performed by bred vector approach. The breeding technique executes the model with a perturbed initial condition. The difference between the reference and the perturbed dynamics is called bred vector. The procedure can be employed systematically, producing a time series of bred vector. The bred vector magnitude is applied for addressing the predictability of the model, i.e., the degree of confidence from the simulation.