Dynamic behaviour of a multi-rotor system with pedestal looseness

Modern nonlinear dynamical system theory is used to analyze the complicated motion of a nonlinear high-speed rigid multi-rotor system with pedestal looseness. In some typical parameter regions, the orbit diagrams of axle center, the Poincare maps and the bifurcation diagrams of the system are acquired with numerical integral method. Various forms of quasi-periodic, double-periodic, and chaotic motions are discussed by using the rotation speed, stiffness, damping, or looseness as the control parameters. The route to and out off chaotic motion are also discussed. The analysis result of the paper provides the theoretical base for qualitatively controlling the stable operating state of rotors.