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19 May 2005 Application of nonlinear dynamics tools for diagnosis of cracked rotor vibration signatures
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The nonlinear model of the cracked Jeffcott rotor is investigated, with the particular focus on study of rotor's vibrational response using tools of nonlinear dynamics. The considered model accounts for nonlinear behavior of the crack and coupling between lateral and torsional modes of vibrations. Load torque is applied to the rotor which is laterally loaded with a constant radial force (gravity force) and unbalance excitation. The co-existence of frequencies of lateral modes in the frequency spectra of torsional mode are characteristics of the coupling response of lateral and torsional vibrations. When only the lateral excitations are applied, vibration amplitude bifurcation plot with the shaft speed as a control parameter, demonstrates some speed ranges for which vibrations of the rotor dramatically increase. Furthermore, the torsional response amplitude at the same speed ranges also increases and chaotic behavior can be observed due to the lateral excitations. These phenomena cannot be observed for pure lateral vibration response with the torsionally rigid rotor assumption.
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Jerzy T. Sawicki, Xi Wu, Andrew L. Gyekenyesi, and George Y. Baaklini "Application of nonlinear dynamics tools for diagnosis of cracked rotor vibration signatures", Proc. SPIE 5767, Nondestructive Evaluation and Health Monitoring of Aerospace Materials, Composites, and Civil Infrastructure IV, (19 May 2005);

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