Grazing Bifurcation in the Response of Cracked Jeffcott Rotor

A cracked rotor is modeled by a piecewise linear system due to the breath of crack in a rotating shaft. The differential equations of motion for the nonsmooth system are derived and solved with the numerical integration method. From the simulation results, it is observed that a grazing bifurcation exists in the response. The grazing bifurcation can give rise to jumps between periodic motions, quasi-periodic motions from the periodic ones, chaos, and intermittent chaos.