大口径ULE分块镜曲率半径调整能力分析  

Analysis of curvature radius adjustment capability of large aperture ULE segmented mirror

作　　者：赵凯伦 宋刘幸 孙德伟[1] 黄巧林[1] 田国梁 贺金平[1] 胡瑞 Zhao Kaiun;Song Liuxing;Sun Dewei;Huang Qiaoin;Tian Guoiang;He Jinping;Hu Rui(Beijing Key Laboratory of Advanced Optical Remote Sensing Technology,Beijing Institute of Space Mechanics&Electricity,Beijing 100094,China;School of Astronautics NUAA,Nanjing University of Aeronautics and Astronautics,Nanjing,Jiangsu 210016,China;Optics Lightweighting and New Materials Technology Center,Institute of Optics and Electronics,Chinese Academy of Sciences,Chengdu,Sichuan 610209,China)

机构地区：[1]北京空间机电研究所先进光学遥感技术北京市重点实验室,北京100094 [2]南京航空航天大学航天学院,江苏南京210016 [3]中国科学院光电技术研究所光学轻量化与新材料技术中心,四川成都610209

出　　处：《光电工程》2025年第3期101-109,共9页Opto-Electronic Engineering

基　　金：民用航天重点项目(D040101)。

摘　　要：针对未来大口径分块光学系统在轨变构重构问题,提出一种大范围曲率可调的轻量化设计方法。首先分析了压电陶瓷材料特性与热应变本构方程之间的关系,推导出压电应变可以由热应变精确等效,并根据挠性曲线方程解算出压电陶瓷变形量,由此实现对边距离为510 mm、曲率半径为9000 mm的ULE(ultra low expansion glass)分块镜参数化建模。仿真结果表明:54个交错式促动器在±20 V控制电压区间可实现分块镜曲率半径变构240.07 mm且呈高度线性变化关系。相关实验结果表明:控制电压在-25~20 V区间变化时,分块镜曲率半径变化量达223.44 mm,并且正向单位电压对应曲率半径变化量较负向大。本文提出的大范围曲率可调分块镜可为后续大口径分块光学在轨变构重构的工程化应用提供新的思路。In response to the on-orbit reconfiguration systems,a lightweight design method with a wide range of curvature adjustability is proposed.This study initially analyzes the relationship between the characteristics of piezoelectric ceramics and the constitutive equations of thermal strain,deducing that piezoelectric strain can be precisely equivalent to thermal strain.Based on the flexural curve equation,the deformation of piezoelectric ceramics is calculated,enabling the parameterized modeling of an ultra-low expansion(ULE)glass segmented mirror with an edge distance of 510 mm and a curvature radius of 9000 mm.Simulation results indicate that 54 interlaced actuators can achieve a curvature radius reconfiguration of 240.07 mm with a control voltage range of±20 V,exhibiting a highly linear relationship.Experimental results further demonstrate that when the control voltage is varied between-25 V and 20 V,the change in the curvature radius of the segmented mirror reaches 233.44 mm,with the positive unit voltage corresponding to a greater change in curvature radius than the negative.The proposed method for a wide range of curvature adjustable segmented mirrors provides new insights for the engineering application of large aperture segmented optics in on-orbit reconfiguration.

关 键 词：分块镜 曲率半径 压电陶瓷 促动器 主动控制 

分 类 号：TP79[自动化与计算机技术—检测技术与自动化装置]