TY - JOUR
T1 - The application of reduced space harmonic balance method for the nonlinear vibration problem in rotor dynamics
AU - Liao, Haitao
N1 - Publisher Copyright:
© 2018, © 2019 Taylor & Francis Group, LLC.
PY - 2019/3/4
Y1 - 2019/3/4
N2 - The reduced space harmonic balance method is demonstrated to find the maximum vibration responses of rotor systems. Within the reduced space SQP method, transition from the high dimensional optimization space to the desired reduced space is accomplished by resorting to the null space decomposition technique, resulting in the elimination of the harmonic balance constraints. Numerical examples of rotor systems are presented to show the applicability of the proposed methodology.
AB - The reduced space harmonic balance method is demonstrated to find the maximum vibration responses of rotor systems. Within the reduced space SQP method, transition from the high dimensional optimization space to the desired reduced space is accomplished by resorting to the null space decomposition technique, resulting in the elimination of the harmonic balance constraints. Numerical examples of rotor systems are presented to show the applicability of the proposed methodology.
KW - Maximum vibration response
KW - null space decomposition
KW - reduced space optimization
KW - rotor vibration
UR - http://www.scopus.com/inward/record.url?scp=85060850122&partnerID=8YFLogxK
U2 - 10.1080/15397734.2018.1519634
DO - 10.1080/15397734.2018.1519634
M3 - Article
AN - SCOPUS:85060850122
SN - 1539-7734
VL - 47
SP - 154
EP - 174
JO - Mechanics Based Design of Structures and Machines
JF - Mechanics Based Design of Structures and Machines
IS - 2
ER -