期刊
SCIENCE CHINA-TECHNOLOGICAL SCIENCES
卷 54, 期 8, 页码 1977-1985出版社
SCIENCE PRESS
DOI: 10.1007/s11431-011-4470-5
关键词
nonlinear rotor dynamics; synchronous full annular rub; constraint bifurcation; stability of motion; reverse dry whip
资金
- National Natural Science Foundation of China [10632040]
In this paper, analytical and numerical studies are carried out on the full annular rub motions of a nonlinear Jeffcott rotor. Transition sets of the synchronous full annular rub are given with the help of averaging method and constraint bifurcation theory to discuss the effects of system parameters on jump phenomena. Routh-Hurwitz criteria are employed to analyze the stability of synchronous full annular rub solution and determine the boundaries of static and Hopf bifurcations. Finally, the response and onset condition of reverse dry whip are investigated numerically, and at the same time, the influences of rotor parameters and rotation speed on the characteristics of the rotor response are investigated.
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