TY - JOUR
T1 - On the gyroscopic and centrifugal effects in the free vibration of rotating beams
AU - Yang, Xiao-Dong
AU - Li, Zhen
AU - Zhang, Wei
AU - Yang, Tian-Zhi
AU - Lim, CW
PY - 2019/1/1
Y1 - 2019/1/1
N2 - This paper addresses the gyroscopic and centrifugal effects on vibrations of rotating Bernoulliâ€“Euler beams. The gyroscopically coupled system is established as a complex eigenvalue problem. It is concluded that there exist three types of velocity-dependent terms that contribute to the natural frequencies with different effects. In particular, the contribution of gyroscopic terms and static and dynamic centrifugal terms to the natural frequencies are discussed for free vibrations of rotating beams with constant angular velocity. On the other hand, the vibrations in different directions coupled through the gyroscopic terms are investigated. Some numerical examples for the elliptic vibration modes in the rotating plane are presented and the results reveal the actual vibration contour of the rotating beams.
AB - This paper addresses the gyroscopic and centrifugal effects on vibrations of rotating Bernoulliâ€“Euler beams. The gyroscopically coupled system is established as a complex eigenvalue problem. It is concluded that there exist three types of velocity-dependent terms that contribute to the natural frequencies with different effects. In particular, the contribution of gyroscopic terms and static and dynamic centrifugal terms to the natural frequencies are discussed for free vibrations of rotating beams with constant angular velocity. On the other hand, the vibrations in different directions coupled through the gyroscopic terms are investigated. Some numerical examples for the elliptic vibration modes in the rotating plane are presented and the results reveal the actual vibration contour of the rotating beams.
KW - centrifugal effect
KW - Galerkin truncation
KW - Gyroscopic effect
KW - modal motions
KW - rotating beam
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85047399115&origin=recordpage
U2 - 10.1177/1077546318774246
DO - 10.1177/1077546318774246
M3 - 21_Publication in refereed journal
VL - 25
SP - 219
EP - 227
JO - JVC/Journal of Vibration and Control
JF - JVC/Journal of Vibration and Control
SN - 1077-5463
IS - 1
ER -