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1.8 m空间长条反射镜柔性支撑技术研究

李宗轩 张昌昊 张德福 马斌 李云峰

李宗轩, 张昌昊, 张德福, 马斌, 李云峰. 1.8 m空间长条反射镜柔性支撑技术研究[J]. 中国光学(中英文), 2022, 15(5): 1079-1091. doi: 10.37188/CO.2022-0131
引用本文: 李宗轩, 张昌昊, 张德福, 马斌, 李云峰. 1.8 m空间长条反射镜柔性支撑技术研究[J]. 中国光学(中英文), 2022, 15(5): 1079-1091. doi: 10.37188/CO.2022-0131
LI Zong-xuan, ZHANG Chang-hao, ZHANG De-fu, MA Bin, LI Yun-feng. Flexural mounting technology of a 1.8 m space-borne rectangular mirror[J]. Chinese Optics, 2022, 15(5): 1079-1091. doi: 10.37188/CO.2022-0131
Citation: LI Zong-xuan, ZHANG Chang-hao, ZHANG De-fu, MA Bin, LI Yun-feng. Flexural mounting technology of a 1.8 m space-borne rectangular mirror[J]. Chinese Optics, 2022, 15(5): 1079-1091. doi: 10.37188/CO.2022-0131

1.8 m空间长条反射镜柔性支撑技术研究

doi: 10.37188/CO.2022-0131
基金项目: 吉林省科技发展计划项目(No. 20200201294JC)
详细信息
    作者简介:

    李宗轩(1986—),男,河北衡水人,博士生导师,副研究员,主要从事空间光机集成分析与设计方面研究。E-mail:lizongxuan@ciomp.ac.cn

  • 中图分类号: TP394.1;TH691.9

Flexural mounting technology of a 1.8 m space-borne rectangular mirror

Funds: Supported by Science and Technology Development Program of Jilin Province (No. 20200201294JC)
More Information
  • 摘要:

    1.8 m×0.5 m口径的长条形主反射镜是某空间离轴三反光学系统的重要光学元件,其面形精度的好坏是决定光学系统在轨成像质量的关键。为保证主镜组件结构的稳定性、可靠性及反射镜的面形精度,提出一种适用于大尺寸长条形反射镜的双轴柔性支撑结构。首先,基于运动学等效原理提出双轴柔性支撑的初始结构,建立了柔性环节刚度数学模型并研究了其刚度特性。然后,对柔性支撑的安装位置进行了参数化研究并对柔性支撑的关键尺寸进行了优化设计。最后,确定了反射镜组件的最终设计方案。仿真与试验结果表明,反射镜组件一阶固有频率为104 Hz。X/Y两个光轴分别对径向施加1 G重力时面形精度RMS值分别为4.81 nm、6.09 nm,优于λ/50(λ=632.8 nm),均满足设计要求。组件正样动力学环境试验表明,反射镜组件的动力学特性良好,柔性支撑系统稳定可靠,与仿真结果一致。目前反射镜全口径面形精度已加工至λ/30 RMS,并在此精度下进行了自重0°/180°的±1 G面形检测试验,结果显示其稳定性良好。

     

  • 图 1  大尺寸长条形反射镜的支撑结构原理示意图

    Figure 1.  Schematic diagram of mounting structure of a rectangular mirror with large aperture

    图 2  典型的反射镜约束方式。(a)“2-2-2”约束方式;(b)“3-2-1”约束方式

    Figure 2.  Typical constraints for a mirror. (a) 2-2-2 Constraint; (b) 3-2-1 Constraint

    图 3  基于运动学等效原理的双轴柔性铰链

    Figure 3.  A bi-axial flexural hinge based on kinematic equivalence principle

    图 4  双轴柔性支撑

    Figure 4.  Bi-axial flexural support

    图 5  等效柔性短直梁示意图

    Figure 5.  Schematic diagram of equivalent flexural short straight beam

    图 6  kx与短直梁的高度a、厚度t、宽度w的关系图

    Figure 6.  Relationship between kx and height a, thickness t, width w of the short straight beam

    图 7  kθyatw的关系图

    Figure 7.  Relationship between kθy and a, t, w

    图 8  柔性支撑与重心平面的位置关系

    Figure 8.  Relationship between the flexural support and CG plane

    图 9  反射镜组件有限元模型

    Figure 9.  Finite element model of the mirror assembly

    图 10  1.8 m长条反射镜的光轴

    Figure 10.  Optical axis of 1.8 m rectangular mirror

    图 11  ε1(a)和ε2(b)对RMS值的影响

    Figure 11.  Effect of ε1 (a) and ε2 (b) on the surface figure RMS

    图 12  ε1(a)和ε2(b)对反射镜组件一阶固有频率的影响

    Figure 12.  Effect of ε1 (a) and ε2 (b) on the first-order natural frequency of PMA

    图 13  柔性支撑的安装角度

    Figure 13.  Mounting angle of the flexural supports

    图 14  不同θ1值1 G自重作用下的镜面变形(去除刚体位移)

    Figure 14.  Surface deformation at different θ1 values under 1 G gravity (removed rigid-body displacement)

    图 15  θ2对RMS和一阶固有频率的影响

    Figure 15.  Effect of different θ2 values on the RMS and first-order natural frequency

    图 16  柔性支撑的不同尺寸对面形精度的影响

    Figure 16.  Effect of different sizes of flexural support on the RMS value

    图 17  柔性支撑不同尺寸对一阶固有频率的影响

    Figure 17.  Effect of different sizes of flexural supports on the first-order natural frequency

    图 18  柔性支撑结构示意图

    Figure 18.  Schematic diagram of the flexural supports′ structure

    图 19  镜面在xy向自重作用下的变形(去除刚体位移)

    Figure 19.  Surface deformation under 1 G gravity in x and y directions (rigid-body displacement removed)

    图 20  主镜组件前三阶模态振型

    Figure 20.  The first three modes of PMA

    图 21  动力学试验现场图

    Figure 21.  Dynamic test scene site map

    图 22  x方向扫频试验结果

    Figure 22.  Swept frequency test results in x direction

    图 23  y方向正弦扫频试验

    Figure 23.  Sweep sine vibration result in y direction

    图 24  z方向随机振动试验

    Figure 24.  Random vibration test in z direction

    图 25  反射镜非球面干涉检验原理图

    Figure 25.  Schematic diagram of mirror aspheric interferometry optical testing layout

    图 26  反射镜0°方向的面形检测结果

    Figure 26.  The surface figure of the mirror tested in 0° direction

    图 27  反射镜180°方向的面形检测结果

    Figure 27.  The surface figure of the mirror tested in 180° direction

    表  1  典型反射镜约束方式各支撑点的自由度

    Table  1.   Degree of freedom at each support point for mirror's typical constraints

    (a)“2-2-2”约束方式
    支撑点约束自由度释放自由度
    ATxRxTyTzRyRz
    BTyRyTxTzRxRz
    CTzRzTxTyRxRy
    (b)“3-2-1”约束方式
    支撑点约束自由度释放自由度
    ATxTyTzRxRyRz
    BTyRzTxTyTzRx
    CRxTxTyTzRyRz
    下载: 导出CSV

    表  2  短直梁的尺寸初值

    Table  2.   Initial size values of the short straight beam

    尺寸变量初值/mm尺寸范围/mm
    a2015~25
    t85~10
    w127~15
    下载: 导出CSV

    表  3  柔性支撑1在不同安装角度下的镜面面形值

    Table  3.   Surface figure error of flexural support No.1 at different mounting angles

    角度θx向RMS/nmy向RMS/nm一阶固有频率/Hz
    010.128.5108.75
    903.975.34106.36
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-06-13
  • 修回日期:  2022-07-26
  • 网络出版日期:  2022-09-15

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