TY - GEN
T1 - Application of the POD method for cracked rotors
AU - Al Mehairi, Ayesha
AU - Al-Shudeifat, Mohammad A.
AU - Balawi, Shadi
AU - Saeed, Adnan S.
N1 - Funding Information:
The experimental setup of this research project has been funded by Khalifa University Internal Research Level 1 Award for the year of 2015, No. 210078, “Damage Diagnosis in Industrial and Aerospace Rotor Systems”.
Publisher Copyright:
© Copyright 2017 ASME.
PY - 2017
Y1 - 2017
N2 - The application of the proper orthogonal decomposition (POD) method to the vibration response of a cracked Jeffcott ro- tor model is investigated here. The covariance matrices of hor- izontal 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 covari- ance matrices of the numerical and experimental whirl ampli- tudes 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 ob- served that both POVs and their corresponding POMs are highly sensitive to the appearance of the crack and the unbalance an- gle 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 Flo- quets theory.
AB - The application of the proper orthogonal decomposition (POD) method to the vibration response of a cracked Jeffcott ro- tor model is investigated here. The covariance matrices of hor- izontal 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 covari- ance matrices of the numerical and experimental whirl ampli- tudes 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 ob- served that both POVs and their corresponding POMs are highly sensitive to the appearance of the crack and the unbalance an- gle 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 Flo- quets theory.
UR - http://www.scopus.com/inward/record.url?scp=85034780169&partnerID=8YFLogxK
U2 - 10.1115/DETC2017-68255
DO - 10.1115/DETC2017-68255
M3 - Conference contribution
AN - SCOPUS:85034780169
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
T2 - ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017
Y2 - 6 August 2017 through 9 August 2017
ER -