八极电磁轴承的非线性动力学研究
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摘要
本文采用一般的非线性理论来研究电磁轴承系统的非线性振动。首先利用牛顿定律对电磁轴承转子系统进行了动力学建模,并在此基础上推导了动力学方程。其次,采用多尺度法对动力学方程进行了摄动分析,并引入能量比和相位差在P控制方式下对系统进行了数值仿真。最终分析出:由于非线性项的影响系统出现了正规、椭圆、准周期等运动类型。
引文
[1]Habermann,H.,Liard,G.,An Active Magnetic Bearing System.Tribology International 1980.13,85-89.
[2]Ji,J.C.Stability and Hopf bifurcation of a magnetic bearing system with time delays.Journal of Sound and Vibration 2003.259,845-856
[3]Ji,J.C.,Hansen,C.H.,Non-Linear Oscillations of a Rotor in Active Magnetic Bearings.Journal of Sound and Vibration 2001.240,599-612.
[4]Ji,J.C.,Hansen,C.H.,Hopf bifurcation of a magnetic bearing system with time delay.J Vib Acoust2005.127,362-369
[5]Eissa,M.,Kamel,M.,Al-Mandouh,A.Vibration suppression of a time-varying stiffness AMB bearing to multi-parametric excitations via time delay controller.Nonlinear Dynamics 2014.78,2439-2457.
[6]Kamel,M.,Bauomy,H.S.,Nonlinear behavior of a rotor-AMB system under multi-parametric excitations.Meccanica 2010.45,7-22
[7]吴国庆,周井玲,汪希平,张旭东,迟晓妮,电磁轴承系统的位移刚度和电流刚度特性研究[J],机械强度,2009.31(5):727~730
[8]Manevich and Manevitch,Mechanics of nonlinear systems with internal resonances.Copyright c 2005 by Imperial College Press.
[2]Ji,J.C.Stability and Hopf bifurcation of a magnetic bearing system with time delays.Journal of Sound and Vibration 2003.259,845-856
[3]Ji,J.C.,Hansen,C.H.,Non-Linear Oscillations of a Rotor in Active Magnetic Bearings.Journal of Sound and Vibration 2001.240,599-612.
[4]Ji,J.C.,Hansen,C.H.,Hopf bifurcation of a magnetic bearing system with time delay.J Vib Acoust2005.127,362-369
[5]Eissa,M.,Kamel,M.,Al-Mandouh,A.Vibration suppression of a time-varying stiffness AMB bearing to multi-parametric excitations via time delay controller.Nonlinear Dynamics 2014.78,2439-2457.
[6]Kamel,M.,Bauomy,H.S.,Nonlinear behavior of a rotor-AMB system under multi-parametric excitations.Meccanica 2010.45,7-22
[7]吴国庆,周井玲,汪希平,张旭东,迟晓妮,电磁轴承系统的位移刚度和电流刚度特性研究[J],机械强度,2009.31(5):727~730
[8]Manevich and Manevitch,Mechanics of nonlinear systems with internal resonances.Copyright c 2005 by Imperial College Press.