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转子系统的动力学“临界跟随”特征及其试验验证

周旋 廖明夫 侯理臻 朱东华 王瑞 景琰婷

周旋, 廖明夫, 侯理臻, 等. 转子系统的动力学“临界跟随”特征及其试验验证[J]. 航空动力学报, 2024, 39(7):20230690 doi: 10.13224/j.cnki.jasp.20230690
引用本文: 周旋, 廖明夫, 侯理臻, 等. 转子系统的动力学“临界跟随”特征及其试验验证[J]. 航空动力学报, 2024, 39(7):20230690 doi: 10.13224/j.cnki.jasp.20230690
ZHOU Xuan, LIAO Mingfu, HOU Lizhen, et al. Characteristics and experimental verification of “critical following speed” on rotor system[J]. Journal of Aerospace Power, 2024, 39(7):20230690 doi: 10.13224/j.cnki.jasp.20230690
Citation: ZHOU Xuan, LIAO Mingfu, HOU Lizhen, et al. Characteristics and experimental verification of “critical following speed” on rotor system[J]. Journal of Aerospace Power, 2024, 39(7):20230690 doi: 10.13224/j.cnki.jasp.20230690

转子系统的动力学“临界跟随”特征及其试验验证

doi: 10.13224/j.cnki.jasp.20230690
基金项目: 国家科技重大专项(2017-Ⅳ-0001-0038)
详细信息
    作者简介:

    周旋(1984-),女,博士生,研究领域为转子动力学

    通讯作者:

    廖明夫(1960-),男,教授,博士,研究领域为航空发动机转子动力学、风能工程。E-mail:mfliao@nwpu.edu.cn

  • 中图分类号: V231.96

Characteristics and experimental verification of “critical following speed” on rotor system

  • 摘要:

    为了深入探究转子系统“临界跟随”现象的机理,建立悬臂转子模型,分析“临界跟随”状态下的转子动力学特性,设计搭建了悬臂转子试验器,并在高速超转试验台上进行试验验证。研究结果表明:当直径转动惯量与极转动惯量相等时,从一定的转速开始,盘的振动摆角响应会随转速持续增大;具有“临界跟随”特征的模态振型表现为,直径转动惯量与极转动惯量相等的盘位于振型节点,在不平衡力矩作用下,盘心振动位移为零,但盘的摆角不为零且随转速增加而增大,其相位角维持不变;若转子结构并非简单的单盘,则需计算组件的直径转动惯量与极转动惯量,以此检验是否会出现“临界跟随”;考虑转轴质量时,盘的惯量符合直径转动惯量与极转动惯量相等时,不会出现“临界跟随”现象,但会出现自振频率在较宽的范围与转子转速靠近,使“共振”区域变宽;“临界跟随”使得转子对不平衡激励非常敏感,应在转子动力学设计时予以避免。

     

  • 图 1  悬臂转子动力学模型

    Figure 1.  Dynamic model of cantilever rotor

    图 2  转子系统坎贝尔图

    Figure 2.  Campbell diagram of rotor system

    图 3  自振频率线上的振型点及其对应的振型

    Figure 3.  Mode shapes of the points on the natural frequency line

    图 4  转子第1阶和第2阶正进动自振频率线及其斜率随转速的变化

    Figure 4.  Variations of 1st and 2nd natural frequency and their slopes with rotational speed

    图 5  盘的振动摆角随转速的变化(Ip=Id

    Figure 5.  Disk pendulum angle with the rotational speed (Ip=Id

    图 6  转子的坎贝尔图(Ip=2IdIp=Id

    Figure 6.  Campbell diagram of rotor system (Ip=2Id and Ip=Id

    图 7  转子的前4阶振型(Ip=2IdIp=Id

    Figure 7.  Four-order mode shapes of rotor system (Ip=2Id and Ip=Id

    图 8  超转试验台

    Figure 8.  Overspeed test bench

    图 9  驱动轴

    Figure 9.  Actuating shaft

    图 10  试验件结构与几何尺寸(单位:mm)

    Figure 10.  Structure and geometrical dimension of test rig (unit: mm)

    图 11  试验器转子1

    Figure 11.  Rotor test rig 1

    图 12  试验转子2

    Figure 12.  Rotor test rig 2

    图 13  试验转子1的坎贝尔图

    Figure 13.  Campbell diagram of rotor test rig 1

    图 14  试验转子1的两阶振型

    Figure 14.  Two-order mode shapes of rotor test rig 1

    图 15  试验转子2的坎贝尔图

    Figure 15.  Campbell diagram of rotor test rig 2

    图 16  试验转子2的2阶振型

    Figure 16.  Two-order mode shapes of rotor test rig 2

    图 17  试验转子1上的3个位移传感器

    Figure 17.  Three displacement sensors on rotor test rig 1

    图 18  试验转子2上的位移传感器

    Figure 18.  Displacement sensor on rotor test rig 2

    图 19  试验转子1的振动位移响应曲线

    Figure 19.  Vibration amplitude response curves of rotor test rig 1

    图 20  试验转子1的振动相位响应曲线

    Figure 20.  Vibration phase response curves of rotor test rig 1

    图 21  试验转子2振动位移响应曲线

    Figure 21.  Vibration amplitude response curves of rotor test rig 2

    表  1  转子模型参数

    Table  1.   Parameters of rotor system

    参数数值参数数值
    L/m1.0a/m0.6
    b/m0.4D/m0.03
    E/1011 Pa2.09H/m0.2
    Δm/kg0.001R/m0.1
    m/kg40.0Ip/(kg·m20.4
    sb1/106 (N/m)4.0sb2/106 (N/m)5.0
    c b1/(N·s/m)200c b2/(N·s/m)200
    ρ/(kg/m37870
    下载: 导出CSV

    表  2  两件试验件的惯量参数

    Table  2.   Inertia parameters of two rotor test rigs

    试验件 质量/
    kg
    极转动惯量
    Ip/(kg·m2
    直径转动惯量
    Id/(kg·m2
    Ip/Id
    试验件1 9.18 0.0173 0.0168 1.02976
    试验件2 8.17 0.017 0.206 0.0825
    下载: 导出CSV
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  • 收稿日期:  2023-11-02
  • 网络出版日期:  2024-03-04

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