Application of the POD Method for Cracked Rotors Conference Paper uri icon


  • The application of the proper orthogonal decomposition (POD) method to the vibration response of a cracked Jeffcott rotor model is investigated here. The covariance matrices of horizontal and vertical whirl amplitudes are formulated based on the numerical integration response and the experimental whirl response, respectively, for the considered cracked rotor system. Accordingly, the POD is directly applied to the obtained covariance matrices of the numerical and experimental whirl amplitudes where the proper orthogonal values (POVs) and the proper orthogonal modes (POMs) are obtained for various crack depths, unbalance force vector angles and rotational speeds. It is observed that both POVs and their corresponding POMs are highly sensitive to the appearance of the crack and the unbalance angle changes at the neighborhoods of the critical. The sensitivity zones of the POVs and POMs to the crack propagation coincide with the unstable zones of the cracked system obtained by Floquets theory.

name of conference

  • ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference

published proceedings

  • Volume 6: 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control

author list (cited authors)

  • Al Mehairi, A., AL-Shudeifat, M. A., Balawi, S., & Saeed, A. S

citation count

  • 0

complete list of authors

  • Al Mehairi, Ayesha||AL-Shudeifat, Mohammad A||Balawi, Shadi||Saeed, Adnan S

publication date

  • August 2017