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基于RBF近似模型的磁悬浮轴承结构优化设计
引用本文:周扬,周瑾,张越,徐园平.基于RBF近似模型的磁悬浮轴承结构优化设计[J].西南交通大学学报,2022,57(3):682-692.
作者姓名:周扬  周瑾  张越  徐园平
作者单位:1.南京航空航天大学机电学院,江苏 南京 2100162.南京航空航天大学直升机传动技术重点实验室,江苏 南京 210016
基金项目:国家自然科学基金(52075239);
摘    要:主动磁悬浮轴承(active magnetic bearing,AMB)-转子系统中,转子质量分布上的不平衡引起不平衡振动,为提高系统的稳定性、减小转子在一阶弯曲临界转速处的不平衡振动,建立了考虑不平衡力和不平衡磁拉力的磁悬浮柔性转子机电一体化模型,并结合径向基(radial basis function,RBF)神经网络算法,得到转子振幅关于磁悬浮轴承结构参数的近似模型;以振幅最小为目标,通过参数灵敏度分析和多岛遗传算法(multi-island genetic algorithm,MIGA)对磁悬浮轴承进行结构优化设计. 数值仿真结果表明:在一定范围内增大磁悬浮轴承的偏置电流、磁极面积、线圈匝数,减少单边气隙能够增大系统阻尼,可以降低一阶弯曲临界转速处的不平衡振动幅值,优化后不平衡振幅较优化前减少近50%. 

关 键 词:主动磁悬浮轴承    机电一体化建模    不平衡振动    近似模型    优化设计
收稿时间:2021-09-28

Optimum Structural Design of Active Magnetic Bearing Based on RBF Approximation Model
ZHOU Yang,ZHOU Jin,ZHANG Yue,XU Yuanping.Optimum Structural Design of Active Magnetic Bearing Based on RBF Approximation Model[J].Journal of Southwest Jiaotong University,2022,57(3):682-692.
Authors:ZHOU Yang  ZHOU Jin  ZHANG Yue  XU Yuanping
Affiliation:1.College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China2.National Key Laboratory of Science and Technology on Helicopter Transmission, Nanjing University of Aeronautics and Astronautics, Nanjing 210016
Abstract:In active magnetic bearing (AMB)-rotor system, the unbalance vibration of system is caused by the uneven mass distribution with respect to the axis. In order to improve the system stability and reduce the unbalance vibration of the rotor at first-order bending critical speed, the mechatronic model of AMB-flexible rotor system considering unbalanced force and unbalanced magnetic pull is established, and combined with the radial basis function (RBF) neural network algorithm, an approximation model of rotor vibration amplitude related to the structure parameters of AMB is obtained. Combined with parametric sensitivity analysis and multi-island genetic algorithm (MIGA), the structural parameters are optimizied with the goal of minimizing the amplitude of rotor vibration. Numerical simulation results show that increasing bias current, area of magnetic poles, number of turns and decreasing air gap within a certain range can increase the system damping, and can reduce unbalanced amplitude at the first-order bending critical speed. The unbalance amplitude is reduced by nearly 50% than before. 
Keywords:
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