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高温磁悬浮转子系统建模与动力学分析

金超武 辛宇 周扬 赵瑞瑾 周瑾 徐园平

金超武, 辛宇, 周扬, 赵瑞瑾, 周瑾, 徐园平. 高温磁悬浮转子系统建模与动力学分析[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20230667
引用本文: 金超武, 辛宇, 周扬, 赵瑞瑾, 周瑾, 徐园平. 高温磁悬浮转子系统建模与动力学分析[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20230667
JIN Chaowu, XIN Yu, ZHOU Yang, ZHAO Ruijin, ZHOU Jin, XU Yuanpin. Modeling and Dynamics Analysis of High-Temperature Magnetic Bearing Rotor System[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20230667
Citation: JIN Chaowu, XIN Yu, ZHOU Yang, ZHAO Ruijin, ZHOU Jin, XU Yuanpin. Modeling and Dynamics Analysis of High-Temperature Magnetic Bearing Rotor System[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20230667

高温磁悬浮转子系统建模与动力学分析

doi: 10.3969/j.issn.0258-2724.20230667
基金项目: 国家自然科学基金(52275059);航空发动机及燃气轮机基础科学中心重点项目(P2022-B-Ⅲ-004-001)
详细信息
    作者简介:

    金超武(1980—),男,副教授,博士,研究方向为磁悬浮技术,E-mail:jinchaowu@nuaa.edu.cn

    通讯作者:

    金超武(1980—),男,副教授,博士,研究方向为磁悬浮技术,E-mail:jinchaowu@nuaa.edu.cn

  • 中图分类号: TH113.1;V231.96

Modeling and Dynamics Analysis of High-Temperature Magnetic Bearing Rotor System

  • 摘要:

    在多电航空发动机中,主动磁悬浮轴承因其耐高温、非接触等特性可以突破温度对支承部位的限制,使支承部位能够更靠近燃烧室. 为探究温度对磁悬浮轴承转子系统动态特性的影响规律,提出一种高温磁悬浮轴承转子系统动力学建模方法. 通过仿真得到转子在不同温度下的温度分布,并使用多项式拟合转子轴向温度分布;基于有限元方法推导柔性转子单元的动力学模型,引入温度影响,建立考虑温度影响的磁悬浮轴承转子系统整体动力学模型,并通过模态试验验证模型的准确性;基于理论动力学模型分析系统的动态特性. 结果表明:温度升高会导致转子的前三阶支承模态频率下降,增大各阶幅频响应幅值;当温度从常温升至450 ℃时,转子的前三阶弯曲支承模态频率分别降低了3.818%、5.67%、3.183%,前三阶弯曲模态幅频响应幅值分别升高了83.4%、34.4%、24.1%.

     

  • 图 1  高温磁悬浮轴承模拟转子试验台

    1.花键端;2.离心压气机模拟盘;3.长轴;4.模拟盘;5.磁悬浮轴承芯轴;6.定子左压板;7.磁悬浮轴承定子;8.定子右压板;9.隔磁环;10.软磁叠片;11.传感器检测环.

    Figure 1.  Simulated test bench of high-temperature magnetic bearing rotor

    图 2  仿真温度区域设置与温度采样点说明

    Figure 2.  Simulated temperature region setting and temperature sampling point description

    图 3  Ansys转子温度场仿真模型

    Figure 3.  Ansys simulation model of rotor temperature field

    图 4  转子温度场导出路径

    Figure 4.  Export path of rotor temperature field

    图 5  不同热源工况下的转子轴向温度数据

    Figure 5.  Axial temperature data of rotor under different heat source conditions

    图 6  450 ℃时的轴向温度拟合曲线

    Figure 6.  Axial temperature fitting curve at 450 ℃

    图 7  单元定义和坐标系

    Figure 7.  Unit definition and coordinate system

    图 8  系统刚度集总矩阵

    Figure 8.  Lumped matrix of system stiffness

    图 9  矩阵引入温度影响过程

    Figure 9.  Process of introducing temperature influence into matrix

    图 10  软磁合金在25 ℃和450 ℃的B-H曲线

    Figure 10.  B-H curves of magnetically soft alloy at 25 ℃ at and 450 ℃

    图 11  单自由度电磁力与参数示意

    Figure 11.  Single degree of freedom electromagnetic force and parameters

    图 12  温度对等效刚度的影响

    Figure 12.  Temperature influence on equivalent stiffness

    图 13  温度变化对转子支承模态频率的影响

    Figure 13.  Influence of temperature variation on support modal frequency of rotor

    图 14  转子系统幅频动力学响应

    Figure 14.  Amplitude frequency dynamics response of rotor system

    表  1  机械系统所使用的材料

    Table  1.   Materials used in mechanical systems

    序号 所用材料
    1,2,3,4,6,8 1Cr11Ni2W2MoV
    5 GH4169
    7,10 高温软磁合金(1J22)
    9,11 38 黄铜
    下载: 导出CSV

    表  2  数学模型拟合的R2

    Table  2.   R2 by mathematical model fitting

    m 温度/℃
    150 300 450
    1 0.799 123 0.815 718 0.824 486
    2 0.993 046 0.993 757 0.993 782
    3 0.996 804 0.995 234 0.994 565
    4 0.998 708 0.998 45 0.998 344
    5 0.999 406 0.999 188 0.999 12
    6 0.999 495 0.999 374 0.999 328
    下载: 导出CSV

    表  3  磁悬浮轴承的结构参数和电控参数

    Table  3.   Structural parameters and electrical control parameters of magnetic bearing

    参数 取值 参数 取值
    转子半径/mm 89.4 比例系数 kp 1
    磁极面积 As/mm2 200 积分系数 ki 1
    磁极夹角 θ 22.5 微分系数 kd 0.0 005
    单边气隙 s/mm 0.3 偏置电流 I/A 2
    定子齿数 8 线圈匝数 N/匝 240
    下载: 导出CSV

    表  4  支承模态频率对比

    Table  4.   Comparison of support modal frequency

    温度/℃ 阶次 计算频率/Hz 试验频率/Hz 误差/%
    25
    1 994.490 994.375 0.0 115
    2 1506.200 1506.250 0.0 033
    3 2437.090 2494.380 2.2 960
    150 1 990.606 983.750 0.6 900
    2 1471.570 1496.880 0.0 169
    3 2421.910 2477.610 2.3 000
    300 1 982.417 976.250 0.6 300
    2 1450.280 1450.990 0.0 493
    3 2404.800 2460.590 2.2 320
    450 1 968.743 958.750 1.0 000
    2 1412.160 1413.460 0.0 922
    3 2374.860 2391.080 2.6 830
    下载: 导出CSV
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  • 收稿日期:  2023-12-10
  • 录用日期:  2024-05-06
  • 修回日期:  2024-04-08
  • 网络出版日期:  2024-05-23

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