-
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。
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.
-
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。 -
[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.1674-1579.2014.05.001ZHANG 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.htmZHOU 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.2005.08.018LI 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/zdgcxb201706021LUO 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.1004-4523.2013.03.021SUN 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/sylx200906006ZHAO 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.shtmlMA 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.htmLUO 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.