Periodic response analysis of a misaligned rotor system by harmonic balance method with alternating frequency/time domain technique

被引:0
作者
LI HongLiang [1 ]
CHEN YuShu [1 ]
HOU Lei [1 ]
ZHANG ZhiYong [2 ]
机构
[1] School of Astronautics, Harbin Institute of Technology
[2] School of Science, Nanjing University of Science and Technology
关键词
rotor system; coupling misalignment; harmonic balance method with alternating frequency/time domain(HB-AFT) technique; Floquet theory; stability; bifurcation;
D O I
暂无
中图分类号
TH17 [机械运行与维修];
学科分类号
0802 ;
摘要
A dynamic model is established for an offset-disc rotor system with a mechanical gear coupling, which takes into consideration the nonlinear restoring force of rotor support and the effect of coupling misalignment. Periodic solutions are obtained through harmonic balance method with alternating frequency/time domain(HB-AFT) technique, and then compared with the results of numerical simulation. Good agreement confirms the feasibility of HB-AFT scheme. Moreover, the Floquet theory is adopted to analyze motion stability of the system when rotor runs at different speed intervals. A simple strategy to determine the monodromy matrix is introduced and two ways towards unstability are found for periodic solutions: the period doubling bifurcation and the secondary Hopf bifurcation. The results obtained will contribute to the global response analysis and dynamic optimal design of rotor systems.
引用
收藏
页码:1717 / 1729
页数:13
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[42]   Numerical study on seismic response of a rock slope with discontinuities based on the time-frequency joint analysis method [J].
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Riahi, Mehdi ;
Aniss, Said .
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[45]   A time-domain stability analysis method for paralleled LLC resonant converter system based on Floquet theory [J].
Li, Hong ;
Jiang, Xiaheng ;
Zou, Ying ;
Liu, Chen .
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[46]   Frequency Domain Method for Stability Analysis of Linear Continuous-Time State-Space Systems with Double Fractional Orders [J].
Buslowicz, Mikolaj .
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[47]   A time-domain seismic SSI analysis method for inelastic bridge structures through the use of a frequency-dependent lumped parameter model [J].
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Chen, Zhuo ;
Ke, Yutian ;
Nie, Wen .
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Ding, Xuan-ming ;
Zhang, Liang .
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