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General rotating systems are affected by Coriolis and centrifugal forces.In rotating machinery specially with flexible long shaft these forces have more considerable effects.Many researchers have been investigated stability of continuous rotating shaft.As an example: the vibration of bladed flexible rotor due to gyroscopic moment was investigated by Sakata et al.[1].Chen and Peng [2] studied the stability of a Timoshenko shaft with dissimilar lateral moment of inertia.Nonlinear dynamic response of a rotating radial Timoshenko beam with periodic loading at the free end presented by Sinha[3].Also many papers investigated the nonlinear dynamics of Jeffcot model rotors.