- 會議論文
具顫振與發散不穩定之轉子系統的主動振動制抑
Active Vibration Suppression of a Rotor System with Flutter and Divergence Instabilities
摘要
本研究探討一包含迴轉效應之不穩定磁浮剛性轉子的主動振動制抑，此轉子系統之不穩定機制源於同時具有顫振模態與重根發散模態。在振動控制設計方面使用獨立模態控制(IMSC)以抑制轉子系統之不穩定振動。本研究針對上述兩組不穩定模態的控制係運用兩個制動器控制具發散不穩定之實數重根模態，並以另外兩個制動器控制具顫振不穩定之複變模態。分析結果顯示本研究之控制策略可將原為不穩定之顫振模態與重根發散模態之特性根成功地轉移至複變平面之左側，並可輕易地依需要將閉路系統之特性根布置於穩定區之任意位置，由數值模擬之結果顯示，本研究之控制策略可有效地抑制受擾動之不穩定轉子系統的振動。
並列摘要
This study deals with active vibration suppression of an unstable gyroscopic rigid rotor supported by magnetic bearings. The instability mechanism originates from the both the flutter mode and the divergence mode with repeated roots. The unstable vibration of the rotor system is suppressed by using the independent modal space control approach. Two actuators are used to control the divergence mode with repeated roots and another two actuators are used to control the complex mode with flutter instability. The analysis results show that the characteristic roots of the originally unstable flutter mode and divergence mode with repeated roots can be transferred to the left side of the complex plane and the closed loop characteristic roots can be placed arbitrarily in the stable region. The simulation results show that the unstable vibration of the disturbed rotor system can be effectively suppressed by using the present control strategy.