动量轮微振动机理及仿真

马艳红; 刘珊珊; 王虹; 洪杰

doi:10.13700/j.bh.1001-5965.2018.0608

动量轮微振动机理及仿真

doi: 10.13700/j.bh.1001-5965.2018.0608

马艳红^{1, 2},
刘珊珊¹,
王虹³,
洪杰^{1, 2, ,}

1.
北京航空航天大学能源与动力工程学院, 北京 100083
2.
先进航空发动机协同创新中心, 北京 100083
3.
北京控制工程研究所精密转动和传动机构长寿命技术北京市重点实验室, 北京 100094

基金项目:

国家自然科学基金 51575022

中央高校基本科研业务费专项资金 YWF-18-BJ-J-44

详细信息

作者简介:
马艳红女, 博士, 教授, 博士生导师。主要研究方向:航空发动机整机动力学、旋转机械振动控制、智能结构与新型阻尼材料等

洪杰男，博士，教授，博士生导师。主要研究方向：航空发动机转子动力学、航空发动机整机动力学、智能结构与新型阻尼材料等

通讯作者:
洪杰, E-mail: hongjie@buaa.edu.cn

中图分类号: V231.92
计量
- 文章访问数: 943
- HTML全文浏览量: 121
- PDF下载量: 640
- 被引次数: 0
出版历程
- 收稿日期: 2018-10-23
- 录用日期: 2019-02-02
- 网络出版日期: 2019-07-20

Micro-vibration mechanism and simulation of momentum wheel

MA Yanhong^{1, 2},
LIU Shanshan¹,
WANG Hong³,
HONG Jie^{1, 2
, ,}

1.
School of Energy and Power Engineering, Beihang University, Beijing 100083, China
2.
Collaborative Innovation Center of Advanced Aero-Engine, Beijing 100083, China
3.
Beijing Key Laboratory of Long-life Technology of Precision Rotation and Transmission Mechanism, Beijing Institute of Control Engineering, Beijing 100094, China

Funds:

National Natural Science Foundation of China 51575022

the Fundamental Research Funds for the Central Universities YWF-18-BJ-J-44

More Information

Corresponding author: HONG Jie, E-mail: hongjie@buaa.edu.cn

摘要

摘要:
动量轮是卫星等航天器姿态控制和精度保持的关键机械部件，其微振动严重影响卫星姿态稳定度和成像精度。动量轮的非均匀、非连续几何构形和旋转效应会引起结构系统的参数激励和载荷激励。针对具有非均匀力学特征参数的动量轮结构系统动力学模型，通过分析动力学方程中各矩阵参数的扰动，进行动量轮微振动机理的研究。仿真和试验结果表明：动量轮结构系统内部存在基频和高频激励，其中基频主要来自支点动载荷，高频来自轴承碾压作用；轮缘的局部振动会随转速形成前后行波。
- 动量轮 /
- 振动特性 /
- 参数激励 /
- 载荷激励 /
- 行波振动
Abstract:
Momentum wheel is the key mechanical component for attitude control and accuracy maintenance of spacecraft such as satellite. Its micro-vibration seriously affects attitude stability and imaging accuracy of satellite. The non-uniform, non-continous geometric configuration and rotational effects will cause parametric excitation and load excitation of the structural system. For the dynamic model of the momentum wheel structural system with non-uniform characteristic parameters, the micro-vibration mechanism is studied by analyzing the disturbance of each matrix parameter in the dynamic equation. The simulation and experimental results show that there are fundamental frequency and high frequency excitation in the momentum wheel structure system, where the fundamental frequency is mainly from the dynamic load of the fulcrum, and the high frequency is from the bearing rolling; the local vibration of the rim will form the traveling wave.
- momentum wheel /
- vibration characteristics /
- parameter excitation /
- load excitation /
- traveling wave vibration

HTML全文

图 1 动量轮结构系统示意图

Figure 1. Structural system schematic diagram of momentum wheel

下载: 全尺寸图片幻灯片

图 2 动量轮结构系统动力学模型

Figure 2. Structural system dynamic model of momentum wheel

下载: 全尺寸图片幻灯片

图 3 轮体结构144°剖视图

Figure 3. 144° section view of wheel body structure

下载: 全尺寸图片幻灯片

图 4 转动惯量计算图

Figure 4. Moment of inertia calculation diagram

下载: 全尺寸图片幻灯片

图 5 无量纲直径转动惯量J_2x分布

Figure 5. Dimensionless diameter moment of inertia J_2x distribution

下载: 全尺寸图片幻灯片

图 6 轮缘径向刚度极坐标系示意图

Figure 6. Schematic diagram of rim radial stiffness in polar coordinate system

下载: 全尺寸图片幻灯片

图 7 轮缘无量纲径向刚度K_θ分布

Figure 7. Dimensionless radial stiffness K_θ of rim distribution

下载: 全尺寸图片幻灯片

图 8 轮体旋转状态变形放大示意图

Figure 8. Schematic diagram of amplified deformation of wheel body under rotation

下载: 全尺寸图片幻灯片

图 9 轮缘振动示意图

Figure 9. Schematic diagram of vibration of rim

下载: 全尺寸图片幻灯片

图 10 转动壳体微元素变形

Figure 10. Microelement deformation of rotating shell

下载: 全尺寸图片幻灯片

图 11 轮缘共振示意图

Figure 11. Schematic diagram of resonance of rim

下载: 全尺寸图片幻灯片

图 12 J_2x区间扰动示意图

Figure 12. Schematic diagram of interval disturbance of J_2x

下载: 全尺寸图片幻灯片

图 13 动量轮整体模态振型示意图

Figure 13. Schematic diagram of modal shape of overall momentum wheel

下载: 全尺寸图片幻灯片

图 14 支点动载荷示意图

Figure 14. Schematic diagram of dynamic load on fulcrum

下载: 全尺寸图片幻灯片

图 15 轴承结构示意图

Figure 15. Schematic diagram of bearing structure

下载: 全尺寸图片幻灯片

图 16 径向载荷作用下滚动体变形

Figure 16. Deformation of rolling body under radial load

下载: 全尺寸图片幻灯片

图 17 外环与内环载荷传递关系示意图

Figure 17. Schematic diagram of load transfer relationship between outer ring and inner ring

下载: 全尺寸图片幻灯片

图 18 动量轮结构系统仿真计算模型

Figure 18. Simulation calculation model of momentum wheel structural system

下载: 全尺寸图片幻灯片

图 19 动量轮结构系统Campbell图

Figure 19. Campbell diagram of momentum wheel structural system

下载: 全尺寸图片幻灯片

图 20 Kistler测力台设备

Figure 20. Kistler dynamometer equipment

下载: 全尺寸图片幻灯片

图 21 动量轮结构系统振动响应瀑布图

Figure 21. Waterfall diagram of vibration response of momentum wheel structural system

下载: 全尺寸图片幻灯片

表 1 轴承特征频率

Table 1. Bearing characteristic frequency

频率种类	表达式
保持架旋转频率	(1+γ)f/2
滚动体通过内圈频率	p(1+γ)f/2
滚动体通过外圈频率	p(1-γ)f/2
滚动体自转频率	d(1+γ)(1-γ)f/(2D)
注：γ=Dcos α/d为特征参数。

下载: 导出CSV

参考文献(16)

[1]	张激扬, 刘虎, 王虹, 等.飞轮扰振特性及振动控制方法[J].空间控制技术与应用, 2014, 40(5):1-7. doi: 10.3969/j.issn.1674-1579.2014.05.001 ZHANG J Y, LIU H, WANG H, et al.Microvibration characteristics of flywheels and its vibration control approaches[J].Aerospace Control and Application, 2014, 40(5):1-7(in Chinese). doi: 10.3969/j.issn.1674-1579.2014.05.001
[2]	HASHA M D.Reaction wheel mechanical noise vibrations: SSS-218[R].Space Telescope Program.Engineering Memorandum, 1986.
[3]	MASTERSON R A.Development and validation of empirical and analytical reaction wheel disturbance models[D].Cambridge: Massachusetts Institute of Technology, 1999.
[4]	LIU K C, MAGHAMI P, BLAUROCK C.Reaction wheel disturbance modeling, jitter analysis, and validation tests for solar dynamics observatory: AIAA-2008-7232[R].Reston: AIAA, 2008.
[5]	KIM Y.Thermal creak induced dynamics of space structures[D].Cambridge: Massachusetts Institute of Technology, 1999.
[6]	周伟勇.航天器飞轮动力学建模与振动控制研究[D].长沙: 国防科学技术大学, 2012: 35-39. http://cdmd.cnki.com.cn/Article/CDMD-90002-1014048314.htm ZHOU W Y.Research on dynamic modeling and vibration control for the flywheel of spacecraft[D].Changsha: National University of Defense Technology, 2012: 35-39(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-90002-1014048314.htm
[7]	李连军, 戴金海.反作用轮系统内干扰建模与仿真分析[J].系统仿真学报, 2005, 17(8):1855-1858. doi: 10.3969/j.issn.1004-731X.2005.08.018 LI L J, DAI J H.Inner disturbance modeling and simulation analysis of reaction wheel system[J].Journal of System Simulation, 2005, 17(8):1855-1858(in Chinese). doi: 10.3969/j.issn.1004-731X.2005.08.018
[8]	罗睿智, 张激扬, 李林峰, 等.轴承滚动面的几何误差对微振动的激励机理研究[J].振动工程学报, 2017, 30(6):1066-1073. http://d.old.wanfangdata.com.cn/Periodical/zdgcxb201706021 LUO R Z, ZHANG J Y, LI L F, et al.Mechanism of micro-vibration excited by bearing rolling face geometrical errors[J].Journal of Vibration Engineering, 2017, 30(6):1066-1073(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/zdgcxb201706021
[9]	晏砺堂, 朱梓根, 李其汉, 等.高速旋转机械振动[M].北京:国防工业出版社, 1994. YAN L T, ZHU Z G, LI Q H, et al.High-speed rotating machinery vibration[M].Beijing:National Defense Industry Press, 1994(in Chinese).
[10]	孙述鹏, 曹登庆, 初世明.转动薄壁圆柱壳行波振动响应分析[J].振动工程学报, 2013, 26(3):459-466. doi: 10.3969/j.issn.1004-4523.2013.03.021 SUN S P, CAO D Q, CHU S M.Analysis of travelling wave vibration response for thin rotating cylindrical shell[J].Journal of Vibration Engineering, 2013, 26(3):459-466(in Chinese). doi: 10.3969/j.issn.1004-4523.2013.03.021
[11]	赵煜, 张鹏飞, 程伟.反作用轮扰动特性测量及研究[J].实验力学, 2009, 24(6):532-538. http://d.old.wanfangdata.com.cn/Periodical/sylx200906006 ZHAO Y, ZHANG P F, CHENG W.Measure and study of disturbance characteristic of reaction wheel assembly[J].Journal of Experimental Mechanics, 2009, 24(6):532-538(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/sylx200906006
[12]	马艳红, 刘海舟, 邓旺群, 等.具有初始热变形的转子系统振动响应分析[J].北京航空航天大学学报, 2019, 45(2):227-233. https://bhxb.buaa.edu.cn/CN/abstract/abstract14707.shtml MA Y H, LIU H Z, DENG W Q, et al.Vibration response analysis of a rotor with initial thermal deformation[J].Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(2):227-233(in Chinese). https://bhxb.buaa.edu.cn/CN/abstract/abstract14707.shtml
[13]	罗青.航天器飞轮系统微振动特性及隔振方法研究[D].长沙: 国防科学技术大学, 2014: 8-10. http://cdmd.cnki.com.cn/Article/CDMD-90002-1016922108.htm LUO Q.Research on micro-vibration characteristic and isolation methods of spacecraft flywheel system[D].Changsha: National University of Defense Technology, 2014: 8-10(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-90002-1016922108.htm
[14]	HARRIS T A, KOTZALAS M N.滚动轴承分析(原书第5版): 第2卷轴承技术的高等概念[M].罗继伟, 李济顺, 杨咸启, 等, 译.北京: 机械工业出版社, 2009: 181-184. HARRIS T A, KOTZALAS M N.Analysis of rolling bearings (5th ed): Volume 2, Advancedconcept of bearing technology[M].LUO J W, LI J S, YANG X Q, et al., translated.Beijing: China Machine Press, 2009: 181-184(in Chinese).
[15]	HARRIS T A, KOTZALAS M N.滚动轴承分析(原书第5版): 第1卷轴承技术的基本概念[M].罗继伟, 马伟, 杨咸启, 等, 译.北京: 机械工业出版社, 2009: 27-37. HARRIS T A, KOTZALAS M N.Analysis of rolling bearings (5th ed): Volume 1, Basic concept of bearing technology[M].LUO J W, MA W, YANG X Q, et al., translated.Beijing: China Machine Press, 2009: 27-37(in Chinese).
[16]	HOWARD I.A review of rolling element bearing vibration "detection, diagnosis and prognosis": No.008-399[R].DSTO Aeronautical and Maritime Research Laboratory, 1994.