大容差多柔性透镜组结构优化设计

doi:10.13229/j.cnki.jdxbgxb20200053

吉林大学学报(工学版) ›› 2021, Vol. 51 ›› Issue (2): 478-485.doi: 10.13229/j.cnki.jdxbgxb20200053

• 车辆工程·机械工程 • 上一篇

大容差多柔性透镜组结构优化设计

张刘¹(),郑潇逸¹,张帆¹(),赵宇²,赵书阳³

^1.吉林大学仪器科学与电气工程学院，长春 130061
^2.长春理工大学机电工程学院，长春 130022
^3.北京遥测技术研究所，北京 100094

收稿日期:2020-01-23 出版日期:2021-03-01 发布日期:2021-02-09
通讯作者: 张帆 E-mail:zhangliu@jlu.edu.cn;zhangfan1@jlu.edu.cn
作者简介:张刘（1978-），男，教授，博士生导师.研究方向：航天光学遥感系统设计，仿真及应用技术，星敏感器技术.E-mail:zhangliu@jlu.edu.cn
基金资助:
科工局国防基础科研重点突破项目（JCKY2018****036）;装备预研领域基金项目(JZX7Y20190254047001);国防基础科研计划项目(JCKY2019110);国家自然科学基金青年基金项目(61705221);吉林省产业技术研究与开发专项项目(2019C035-1);科工局国防基础科研项目(JCKY2017203C108)

Structural optimization design of large tolerance and multi⁃flexibility lens subassembly

Liu ZHANG¹(),Xiao-yi ZHENG¹,Fan ZHANG¹(),Yu ZHAO²,Shu-yang ZHAO³

^1.College of Instrument and Electrical Engineering，Jilin University，Changchun 130061，China
^2.College of Mechanical Engineering，Changchun University of Science and Technology，Changchun 130022，China
^3.Research Institute of Telemetry，Beijing 100094，China

Received:2020-01-23 Online:2021-03-01 Published:2021-02-09
Contact: Fan ZHANG E-mail:zhangliu@jlu.edu.cn;zhangfan1@jlu.edu.cn

摘要/Abstract

摘要：

为使透镜的面形精度在复杂工作环境下满足光学系统要求，利用CAE设计了多透镜组镜头的透镜柔性支座结构，并对其几何位置进行参数优化。首先，通过对比透镜支撑结构常用材料和加工制作工艺，选取透镜支座材料，根据光学设计结果采用定心车加工工艺保证光轴的直线度；然后，选取一适合柔性结构形式并根据其中心对称特点初步设计柔性支座；最后，将柔性结构几何位置进行参数化，并利用集成优化方法优化柔性支座结构形式。实验结果表明：单透镜组件在3个方向自重变形下及-10~50 ℃工况下的面形误差（RMS值）均优于λ/50；镜头组件和单透镜组件的一阶谐振频率不小于120 Hz。实验验证了镜头可同时在大温差、高频振动的环境下，满足镜头设计要求，结构稳定可靠。

关键词: 柔性支撑, 面形精度, 有限元仿真, 集成优化, 大温差

Abstract:

The flexible support structure of lens is designed by CAE， and the geometric position parameters are optimized in order to make the surface accuracy of lens meet the requirements of optical system in complex working environment. Firstly， by comparing the commonly used materials and processing technology of the lens support structure， the lens support material is selected， and according to the optical design results， the centering machining technology is used to ensure the straightness of the optical axis. Secondly the suitable flexible structure is chosen and the flexible support according to its central symmetry is designed. Finally， the geometric position of the flexible structure is parameterized， and the structural form of the flexible support is optimized by the integrated optimization method. The experimental results show that the surface shape error （RMS value） of the single lens module is better than λ/50 under three directions of self-weight deformation with temperature ranging from -10 ℃ to 50 ℃， and the first-order resonance frequency of the lens module and the single lens module is no less than 120 Hz. It is verified that the lens can meet the requirements of lens design in the environment of large temperature difference and high frequency vibration.

Key words: flexible support, surface accuracy, finite element simulation, integrated optimization, large temperature difference

中图分类号:

TF303

张刘,郑潇逸,张帆,赵宇,赵书阳. 大容差多柔性透镜组结构优化设计[J]. 吉林大学学报(工学版), 2021, 51(2): 478-485.

Liu ZHANG,Xiao-yi ZHENG,Fan ZHANG,Yu ZHAO,Shu-yang ZHAO. Structural optimization design of large tolerance and multi⁃flexibility lens subassembly[J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(2): 478-485.

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材料名称	密度ρ/（10³kg·m^-3）	弹性模量E/GPa	比刚度（E/ρ）/10⁶m	线胀系数α/（10^-6·K^-1）	导热率λ/（W·m^-1·K）
TC4	4.40	114	25.90	9.10	7.40
铝	2.70	68	25.20	25.00	167.00
镁铝合金	1.80	40	22.20	25.20	201.00
铟钢	8.90	141	15.80	2.60	13.70
低体分SiC/Al	3.00	100	33.30	16.00	155.00
高体分SiC/Al	3.00	180	60.00	8.00	225.00
K9/BK7	2.51	82	32.67	7.10	1.10

变量	取值范围	初始值	优化值
1/(°)	60＜(A)＜120	110	65
2/(°)	60＜(B)＜120	110	116
3/mm	0.3≤(D₁)≤2	1.5	0.5
4/mm	0.3≤(D₂)≤2	1.5	0.5
5/mm	0.3≤(H₁)≤2	1.5	0.8
6/mm	0.3≤(H₂)≤2	1.5	0.8
RMSX/nm	-	0.241	5.67
RMSY/nm	-	0.249	5.77
RMSZ/nm	-	0.44	8.217
RMS（50 ℃）/nm	-	28.187	9.565
RMS（-10 ℃）/nm	-	27.617	9.464

工况载荷	PV值/nm	RMS值/nm
Temp_-10	85.57	9.464
Temp_50	81.257	9.565
Grav_X	29.97	5.67
Grav_Y	30.156	5.77
Grav_Z	42.634	8.217

序号	模态/Hz	振动形式
1	1549.790	Move along Z-axis
2	1582.087	Rotate along Y-axis
3	1582.709	Rotate along X-axis
4	1997.240	Move along X-axis
5	1997.872	Move along Y-axis
6	2278.361	Rotate along Z-axis

项目	技术要求	检验结果
-10 ℃工况面形精度/nm	＜12.66	9.656
50 ℃工况面形精度/nm	＜12.66	9.81
X向重力面形精度/nm	＜12.66	5.194
Y向重力面形精度/nm	＜12.66	5.11
Z向重力面形精度/nm	＜12.66	8.468
焦距/mm	112.5	111.5
F数	5.6	5.42
视场角/(°)	≥34	34.2
分辨率/(p·mm^-1)	≥200l	269l
通过率/%	≥70	81

大容差多柔性透镜组结构优化设计

Structural optimization design of large tolerance and multi⁃flexibility lens subassembly

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