This research intends to analyze the dynamic stability of a nonlinear cracked rotor system with unsymmetrical viscoelastic supports. Nonlinear governing equations for the cracked rotor system subjected to periodic forces generated in machining are established. The linear and nonlinear dynamic stabilities of the system are investigated on the basis of the HBM method, utilizing Lyapunov theory and the Floquet criterion. The effects of the masses of shaft and disk together with the nonlinearity of the rotating system on the behavior of the system are all taken into consideration. Numerical simulations of the system are also performed. The influences of various factors on the principal regions of instability are studied. The results obtained in the research are compared with those found in the literature.
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