Studies on modeling and simulation of the dynamic unbalance problem in rolling aircraft

Considering the dynamic unbalance problem of rolling aircraft which will to some extent lead to a larger distribution of trajectory and instability of flight, the studies of this paper focus on the modeling and simulation problem of dynamic unbalance. Firstly, by introducing the dynamic unbalance angle to the characterization of the dynamic unbalance, the rotating dynamics equations around centroid based on the theory of rigid body motion is established under certain simplifying assumptions. Sequentially, the relationship between two forms of description of dynamic unbalance is deduced with significance of integrating the theoretical model with actual measurement of the dynamic unbalance through dynamic balancing machines. At last, a simulation experiment is given to demonstrate the influence of dynamic unbalance on the flight of rolling aircraft. Simulation results have verified the validity of the model and provide meaningful references for the stability and control design of the rolling aircraft.