Construction of bifurcation diagrams of periodic motions of an aerodynamic pendulum via the method of iterative averaging

摘要

The mathematical model of a heavy aerodynamic pendulum in a vertical air flow is constructed. Self-sustained rotations of the pendulum are studied. The bifurcation diagram of such motions depending on the viscous friction coefficient in the shaft is constructed via the new iterative method based on the averaging procedure and the energy balance approach.