Analysis of the Stability and postcritical Behavior of the Ziegler’s Pendulum in Simulink

The paper presents a nonlinear Simulink model of a double pendulum loaded with potential and follower forces. At first stability region of the initial equilibrium position was found using the dynamic method. Then time-depended displacements and phase portraits of the pendulum were obtained and investigated for various parameters of the loading: in the stable regions, at the intersection of the boundaries of flutter and divergence, in distant postcritical regions. In the simulation some features of phase trajectories of the nonlinear nonconservative system have been found and illustrated. The relevance of simulation for training future specialists in the field of dynamics and strength of machines is shown.