中国电机工程学报
中國電機工程學報
중국전궤공정학보
ZHONGGUO DIANJI GONGCHENG XUEBAO
2014年
35期
6346-6354
,共9页
张永芳%张帅%叶鹏%刘成%刘付喜%吕延军
張永芳%張帥%葉鵬%劉成%劉付喜%呂延軍
장영방%장수%협붕%류성%류부희%려연군
非线性转子系统%轴向槽动压气体轴承%时滞%微分变换法%精细积分法%稳定性
非線性轉子繫統%軸嚮槽動壓氣體軸承%時滯%微分變換法%精細積分法%穩定性
비선성전자계통%축향조동압기체축승%시체%미분변환법%정세적분법%은정성
nonlinear rotor system%self-acting gas bearing with axial grooves%time delay%differential transformation method%precise integration method%stability
针对高速气体轴承-转子系统在主动控制过程中无法避免的时滞现象,建立了含有双时滞控制的三轴向槽动压气体轴承-转子系统的动力学模型。运用微分变换法求解动压气体润滑的 Reynolds 方程,得到了非线性气膜压力分布。基于精细积分法,构造了时滞非线性轴承-转子系统动力响应的求解方法。针对含有双时滞控制的气体轴承-转子系统,运用轨迹图、时间历程图等研究了系统的非线性响应,分析了时滞量和反馈控制增益对系统响应的影响。数值结果表明,当选取的反馈控制增益与气体轴承-转子系统的时滞量相匹配时,时滞系统的振动幅值会变小,运动将更加稳定,达到了较好的控制效果。
針對高速氣體軸承-轉子繫統在主動控製過程中無法避免的時滯現象,建立瞭含有雙時滯控製的三軸嚮槽動壓氣體軸承-轉子繫統的動力學模型。運用微分變換法求解動壓氣體潤滑的 Reynolds 方程,得到瞭非線性氣膜壓力分佈。基于精細積分法,構造瞭時滯非線性軸承-轉子繫統動力響應的求解方法。針對含有雙時滯控製的氣體軸承-轉子繫統,運用軌跡圖、時間歷程圖等研究瞭繫統的非線性響應,分析瞭時滯量和反饋控製增益對繫統響應的影響。數值結果錶明,噹選取的反饋控製增益與氣體軸承-轉子繫統的時滯量相匹配時,時滯繫統的振動幅值會變小,運動將更加穩定,達到瞭較好的控製效果。
침대고속기체축승-전자계통재주동공제과정중무법피면적시체현상,건립료함유쌍시체공제적삼축향조동압기체축승-전자계통적동역학모형。운용미분변환법구해동압기체윤활적 Reynolds 방정,득도료비선성기막압력분포。기우정세적분법,구조료시체비선성축승-전자계통동력향응적구해방법。침대함유쌍시체공제적기체축승-전자계통,운용궤적도、시간역정도등연구료계통적비선성향응,분석료시체량화반궤공제증익대계통향응적영향。수치결과표명,당선취적반궤공제증익여기체축승-전자계통적시체량상필배시,시체계통적진동폭치회변소,운동장경가은정,체도료교호적공제효과。
According to the inevitable time delays phenomenon in the active control of high speed gas bearing-rotor system, a dynamical model of the rotor system with double time delays supported on self-acting gas-lubricated bearing with three-axial grooves was established. The time-dependent compressible gas-lubricated Reynolds equation was solved by the differential transformation method, and the distribution of the nonlinear gas film pressure was obtained. A calculation method for the dynamic responses of the nonlinear bearing-rotor system with time delays was proposed based on the precise integration method. The orbit diagram and the time series were employed to investigate the nonlinear responses of the self-acting gas-lubricated bearing-rotor system with double time delays. The influence of time delays and feedback control gains on the dynamic responses of the bearing-rotor nonlinear system was analyzed. The numerical results show that the amplitude of the responses of the system with time delays control is reduced, the motion is more stable and good control effect is achieved when the chosen feedback control gains match the time delays of the bearing-rotor system.