Study of nonlinear response of cracked Jeffcott rotor in hovering state

The nonlinear response of crack Jeffcott rotor in leveling and hovering state was studied, while a mathematical model of crack Jeffcott rotor in hovering state was set up, and the corresponding motion equation was derived. The results show that, there are three ways leading to chaos, which are quasi-periodic bifurcation, intermittence bifurcation and instability period-3 motion to chaos. Generally speaking, the hover can depress the nonlinear response of system, but increase considerably the amplitude of system response, thus creating a bigger possibility of axis crack and rotor collision. And, the hover will also lead to nonlinear response near the fraction frequency of swing critical speed.