TY - GEN
T1 - Computation of eigenvalues and eigenvectors of a mistuned bladed disk
AU - Sinha, Alok
PY - 2006
Y1 - 2006
N2 - This paper deals with fundamental aspects of variations in eigenvalues and eigenvectors of a bladed disk due to mistuning. First, the existence of derivatives of repeated eigenvalues and corresponding eigenvectors is thoroughly examined. Next, an algorithm is developed to compute these derivatives. It is shown how a Taylor series expansion can be used to efficiently compute eigenvalues and eigenvectors of a mistuned system. This methodology is developed for perturbations in both repeated and unrepeated eigenvalues of the tuned system. Lastly, numerical examples are presented.
AB - This paper deals with fundamental aspects of variations in eigenvalues and eigenvectors of a bladed disk due to mistuning. First, the existence of derivatives of repeated eigenvalues and corresponding eigenvectors is thoroughly examined. Next, an algorithm is developed to compute these derivatives. It is shown how a Taylor series expansion can be used to efficiently compute eigenvalues and eigenvectors of a mistuned system. This methodology is developed for perturbations in both repeated and unrepeated eigenvalues of the tuned system. Lastly, numerical examples are presented.
UR - https://www.scopus.com/pages/publications/33750826748
UR - https://www.scopus.com/pages/publications/33750826748#tab=citedBy
U2 - 10.1115/GT2006-90087
DO - 10.1115/GT2006-90087
M3 - Conference contribution
AN - SCOPUS:33750826748
SN - 0791842401
SN - 9780791842409
T3 - Proceedings of the ASME Turbo Expo
SP - 729
EP - 737
BT - Proceedings of the ASME Turbo Expo 2006 - Power for Land, Sea, and Air
T2 - 2006 ASME 51st Turbo Expo
Y2 - 6 May 2006 through 11 May 2006
ER -