Abstract
The dynamics of a cracked, distributed parameter rotor component is studied. The proposed model is a rotating Timoshenko shaft which is also flexible in extension and torsion. Two uniform fields are connected by a local, complex spring element with reduced stiffness and damping simulating an open crack. The modification describing a closed crack is introduced, and the open/close condition is formulated. The governing boundary value problem is then derived. Finally, a special approach prepares the obtained set of equations for application of direct variational methods in a simplified form replacing the geometric discontinuity by a load discontinuity at the crack location. A simple example, discussing the torsional vibrations of a simply supported, circular rotating shaft with a circumferential crack, emphasizes the general considerations.
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