Nonlinear response analysis of a cracked Jeffcott rotor in action of dive-hike

A maneuver load model for action of dive-hike is set up, and motion equations for a cracked Jeffcott rotor in action of dive-hike are derived. Numerical method is employed to analyze its nonlinear response. The response results show that there are three ways leading to chaos: Quasi-periodic bifurcation, intermittent bifurcation and unstable period-3 motion. Generally, the action of dive-hike will depress the nonlinear response of the rotor. But its swing amplitude increases obviously, and it may make the rotor lose its stability. If the rotor is with a deeper crack, the depressing effect of the action of dive-hike is unconspicuous. These results can be helpful for fault diagnose or design of aircraft rotor systems.