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Shock and Vibration
Volume 2016, Article ID 4056236, 13 pages
Research Article

Harmonic Transfer Function Based Damage Identification of Breathing Cracked Jeffcott Rotor

The University of Tennessee, Knoxville, TN 37996, USA

Received 9 August 2015; Revised 26 November 2015; Accepted 15 December 2015

Academic Editor: Evgeny Petrov

Copyright © 2016 Jie Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper proposes a vibration-based damage identification method based on 6-dof Jeffcott rotor system, which is based on harmonic balance and Newton-Raphson methods. First, the equations of motion are derived by using energy method and Lagrange principle. The crack model is based on strain energy release rate (SERR) in fracture mechanics and modified to accommodate 6-dof Jeffcott rotor model. Then, Gear’s method is used to solve the vibration responses of nominal and damaged rotor systems. By processing vibration responses, the transfer function shifts between nominal and damaged systems are taken as the input of damage identification algorithm. Finally, damage severity can be correlated with the damage parameter estimated via developed damage identification model. Numerical examples are shown to demonstrate the effectiveness in identifying the breathing crack in the rotor system.