磁悬浮转子系统的非线性动力学特性  

Nonlinear dynamic characteristics of magnetic suspended rotor system

作　　者：鲍文博[1] 李娜[1] 王凤翔[2] 

机构地区：[1]沈阳工业大学建筑工程学院,沈阳110178 [2]沈阳工业大学电气工程学院,沈阳110178

出　　处：《沈阳工业大学学报》2008年第4期370-373,共4页Journal of Shenyang University of Technology

基　　金：国家自然科学基金重点资助项目(50437010)

摘　　要：为了研究某磁悬浮转子的非线性动力学特性,考虑了系统非线性因素的影响,由Taylor级数展开得到非线性电磁力的表达式,建立了刚性磁浮轴承转子系统动力学模型和空间状态方程,用数值积分法对其进行分析.通过数值分析得到了该系统在某些参数域中的波形图、频谱图、相图以及轴心轨迹,直观显示了系统在某些参数域中的稳定运行状态.分析结果表明,该磁悬浮转子系统在转速为60000 r/min和一定的偏心量范围内处于稳定运动状态.To study the nonlinear dynamic characteristics of magnetic suspension rotor system, the influences of nonlinear factors on the system were considered. The expressions of nonlinear magnetic forces were given in Taylor series. The dynamics model and space state equations of rigid magnetic suspension rotor system were established and analyzed by numerical integration approach. Through numerical analysis, the waveforms, spectrums, phase diagrams and axle-center tracks were yielded. The presented results show that the magnetic suspension rotor system is in stable movement states with certain eccentricity at speed of 60 000 r/min.

关 键 词：磁悬浮 转子 非线性动力学 数值积分法 稳定性 

分 类 号：TH133[机械工程—机械制造及自动化] O231[理学—运筹学与控制论]