Abstract
A simplified approach for modeling an open crack in a rotor based on the change of the flexibility is proposed in this paper. The crack model is incorporated in a two-node Timoshenko beam with 4 DOF at each node, which in turn represents one element of the finite element model of the rotor bearing system. The objectives of this work are twofold. The primary objective is to study the effect of the presence of crack on movement equation of rotor bearing system. Theoretically, it was shown that the crack generates external inertial, damping and elastic excitation forces which depend on the second harmonic of the rotational speed. The second objective is to calculate the dynamic response of the rotor bearing system with NEWMARK numerical integration method (average acceleration method) of non-linear equation. Results show that transverse crack produces peaks in the second harmonic of rotating speed modulated with natural frequency and the third harmonic of the rotation speed. The presence of a crack in a symmetric rotor causes asymmetry in the stiffness and consequently causes critical frequencies in backward whirl.KeywordsOpen crackrotor modelingdynamic response
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