基于等效模型的多层蜂窝堆栈ULE反射镜优化设计研究
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摘要
针对现有Φ1m ULE○R空间反射镜减重需求,采用多层蜂窝堆栈构型进行轻量化设计。为提高这类新构型的设计效率,推导了多层蜂窝堆栈反射镜的等效建模方法,分析了结构参数变化对等效模型计算精度的影响以及对蜂窝堆栈反射镜面型、基频的影响。结合等效模型与响应面法提出了多层蜂窝堆栈反射镜的高效设计方法,规避了详细模型建模复杂、计算耗时长的缺陷。基于所提方法设计的Φ1m主镜质量为56kg,面形RMS值为1.84nm。设计结果表明方法能有效提高多层蜂窝堆栈反射镜的设计效率。
Stacked-core structure is used in lightweight design to meet the lightweight requirement ofΦ1m ULE○R space mirror existing.To increase the design efficiency of such new structures,the equivalent modeling methods of stacked-core mirror are derived at first.Secondly,the influences of the structural parameters changing on both the accuracy of the equivalent model and the surface deformations as well as the fundamental frequency of stacked-core mirrors are analyzed.Then,an efficient design method for stacked-core mirrors is proposed in combination with equivalent model and response surface method,which avoids the complications of detailed model modeling and long time of analysis.Finally,theΦ1m mirror is optimized to 56 kg and 1.84 nm RMS,which shows the optimization method can effectively improve the design efficiency of stacked-core mirrors.
Stacked-core structure is used in lightweight design to meet the lightweight requirement ofΦ1m ULE○R space mirror existing.To increase the design efficiency of such new structures,the equivalent modeling methods of stacked-core mirror are derived at first.Secondly,the influences of the structural parameters changing on both the accuracy of the equivalent model and the surface deformations as well as the fundamental frequency of stacked-core mirrors are analyzed.Then,an efficient design method for stacked-core mirrors is proposed in combination with equivalent model and response surface method,which avoids the complications of detailed model modeling and long time of analysis.Finally,theΦ1m mirror is optimized to 56 kg and 1.84 nm RMS,which shows the optimization method can effectively improve the design efficiency of stacked-core mirrors.
引文
[1]刘韬,周一鸣,江月松.国外空间反射镜材料及应用分析[J].航天返回与遥感,2013,34(5):90—99.Liu Tao,Zhou Yiming,Jiang Yuesong.Research and application of foreign space mirror materials[J].Spacecraft Recovery and Remote Sensing,2013,34(5):90—99.
[2]Stahl H P.Advanced mirror technology development(AMTD):year five status[C]∥Astronomical Optics:Design,Manufacture,and Test of Space and Ground Systems.International Society for Optics and Photonics,San Diego:SPIE,2017,10401:104010O.
[3]Stahl H P,Team M A.Status of technology development to enable large stable UVOIR space Telescopes[C]∥American Astronomical Society Meeting.American Astronomical Society MeetingAbstracts. Washington, America:AAS, 2017,22914626S.
[4]孙宝龙,董吉洪,薛闯,等.空间遥感器反射镜组件的设计与有限元分析[J].长春理工大学学报:自然科学版,2016,39(4):29—33.Sun Baolong,Dong Jihong,Xue Chuang,et al.Design and finite element analysis of mirror subassembly for space remote sensor[J].Journal of Changchun University of Science and Technology:Natural Science Edition,2016,39(4):29—33.
[5]陈涛伟,何欣,付亮亮,等.基于SiC材料的大长宽比长条型反射镜轻量化结构设计[J].光学技术,2011,37(4):412—417.Chen Taowei,He xin,Fu liangliang,et al.Lightweight structure design of large strip mirror based on SiC material[J].Optical Technology,2011,37(4):412—417.
[6]李慎华,关英俊,辛宏伟,等.大口径空间反射镜轻量化设计及其柔性支撑[J].激光与红外,2017,47(11):1422—1427.Li Shenhua,Guan Yingjun,Xin Hongwei,et al.Lightweight design and flexible support of large diameter mirror in space camera[J].Laser&Infrared,2017,47(11):1422—1427.
[7]Arnold W R,Stahl H P.Design trade study for a 4-meter off-axis primary mirror substrate and mount for the Habitable-zone Exoplanet Direct Imaging Mission[C]∥Society of Photo-Optical Instrumentation Engineers.Society of Photo-Optical Instrumentation Engineers Conference Series.San Diego,America:SPIE,2017,10398:1039807.
[8]王克军,董吉洪.空间遥感器Ф2m量级大口径SiC反射镜镜坯结构设计[J].红外与激光工程,2017,46(7):171—179.Wang Kejun,Dong Jihong.Structural design ofФ2m-level largediameter SiC reflector used in space remote sensor[J].Infrared and Laser Engineering,2017,46(7):171—179.
[9]凯斯·B·道尔,维克托·L·基恩伯格,格雷戈里·J·迈克尔思,等.光机集成分析(第二版)[M].北京:国防工业出版社,2015:269—271.Doyle K B,Genberg V L,Michels G J,et al.Integrated optomechanical analysis(Second Edition)[M].Beijing:National Defense Industry Press,2015:269—271.
[10]李宗轩,邢利娜,解鹏.视频空间相机Φ330mm口径主镜组件设计[J].光子学报,2016,45(7):12—17.Li Zongxuan,Xing Lina,Xie Peng.Design of theΦ330mm primary mirror assembly of spaceborne video camera[J].Acta Photonica Sinica,2016,45(7):12—17.
[11]沈展鹏,陈晓娟,陈学前,等.大口径反射镜结构的两种参数优化方法[J].强激光与粒子束,2018,30(06):35—40.Shen Zhanpeng,Chen Xiaojuan,Chen Xueqian,et al.Two structural optimization methods of large aperture reflector[J].High Power Laser And Partical Beams,2018,30(6):35—40.
[12]刘明东.反射镜轻量化分析与设计方法研究[D].哈尔滨:哈尔滨工业大学,2016.Liu Mingdong.Study on analysis and design method of lightweight reflector[D].Harbin:Harbin Institute of Technology,2016.
[13]Yoder P.Opto-Mechanical systems design,fourth edition,volume 2:design and analysis of large mirrors and structures[M].Lasers Optics&Photonics,2015.
[14]刘健,周春燕.长厚比对正六边形铝蜂窝夹层板等效板模型动力学计算精度的影响[J].复合材料学报,2016,33(8):1838—1847.Liu Jian,Zhou Chunyan.Influence of length-thickness ratio on dynamics calculation accuracy of equivalent plate model of hexagonal aluminum honeycomb sandwich plate[J].Acta Materiae Compositae Sinica,2016,33(8):1838—1847.
[15]胡海飞,关英俊,赵思宏,等.大口径反射镜分析驱动设计与优化[J].系统仿真学报,2013,25(5):990—994.Hu Haifei,Guan Yingjun,Zhao Sihong,et al.Analysis led design and optimization for large aperture mirror[J].Journal of System Simulation,2013,25(5):990—994.
[16]周于鸣,赵野,王海超,等.大口径轻质反射镜光轴水平卸载支撑方法[J].红外与激光工程,2013,42(5):1285—1290.Zhou Yuming,Zhao Ye,Wang Haichao,et al.Method of offloading supporting for large aperture light weighted reflect mirror at optical axis horizontal situation[J].Infrared and Laser Engineering,2013,42(5):1285—1290.
[17]包奇红,沙巍,陈长征,等.空间SiC反射镜背部中心支撑特性[J].光子学报,2017,46(2):0222003.Bao Qihong,Sha Wei,Chen Changzheng,et al.Characteristics of rear support in centre for space SiC mirror[J].Acta Photonica Sinica,2017,46(2):0222003.
[2]Stahl H P.Advanced mirror technology development(AMTD):year five status[C]∥Astronomical Optics:Design,Manufacture,and Test of Space and Ground Systems.International Society for Optics and Photonics,San Diego:SPIE,2017,10401:104010O.
[3]Stahl H P,Team M A.Status of technology development to enable large stable UVOIR space Telescopes[C]∥American Astronomical Society Meeting.American Astronomical Society MeetingAbstracts. Washington, America:AAS, 2017,22914626S.
[4]孙宝龙,董吉洪,薛闯,等.空间遥感器反射镜组件的设计与有限元分析[J].长春理工大学学报:自然科学版,2016,39(4):29—33.Sun Baolong,Dong Jihong,Xue Chuang,et al.Design and finite element analysis of mirror subassembly for space remote sensor[J].Journal of Changchun University of Science and Technology:Natural Science Edition,2016,39(4):29—33.
[5]陈涛伟,何欣,付亮亮,等.基于SiC材料的大长宽比长条型反射镜轻量化结构设计[J].光学技术,2011,37(4):412—417.Chen Taowei,He xin,Fu liangliang,et al.Lightweight structure design of large strip mirror based on SiC material[J].Optical Technology,2011,37(4):412—417.
[6]李慎华,关英俊,辛宏伟,等.大口径空间反射镜轻量化设计及其柔性支撑[J].激光与红外,2017,47(11):1422—1427.Li Shenhua,Guan Yingjun,Xin Hongwei,et al.Lightweight design and flexible support of large diameter mirror in space camera[J].Laser&Infrared,2017,47(11):1422—1427.
[7]Arnold W R,Stahl H P.Design trade study for a 4-meter off-axis primary mirror substrate and mount for the Habitable-zone Exoplanet Direct Imaging Mission[C]∥Society of Photo-Optical Instrumentation Engineers.Society of Photo-Optical Instrumentation Engineers Conference Series.San Diego,America:SPIE,2017,10398:1039807.
[8]王克军,董吉洪.空间遥感器Ф2m量级大口径SiC反射镜镜坯结构设计[J].红外与激光工程,2017,46(7):171—179.Wang Kejun,Dong Jihong.Structural design ofФ2m-level largediameter SiC reflector used in space remote sensor[J].Infrared and Laser Engineering,2017,46(7):171—179.
[9]凯斯·B·道尔,维克托·L·基恩伯格,格雷戈里·J·迈克尔思,等.光机集成分析(第二版)[M].北京:国防工业出版社,2015:269—271.Doyle K B,Genberg V L,Michels G J,et al.Integrated optomechanical analysis(Second Edition)[M].Beijing:National Defense Industry Press,2015:269—271.
[10]李宗轩,邢利娜,解鹏.视频空间相机Φ330mm口径主镜组件设计[J].光子学报,2016,45(7):12—17.Li Zongxuan,Xing Lina,Xie Peng.Design of theΦ330mm primary mirror assembly of spaceborne video camera[J].Acta Photonica Sinica,2016,45(7):12—17.
[11]沈展鹏,陈晓娟,陈学前,等.大口径反射镜结构的两种参数优化方法[J].强激光与粒子束,2018,30(06):35—40.Shen Zhanpeng,Chen Xiaojuan,Chen Xueqian,et al.Two structural optimization methods of large aperture reflector[J].High Power Laser And Partical Beams,2018,30(6):35—40.
[12]刘明东.反射镜轻量化分析与设计方法研究[D].哈尔滨:哈尔滨工业大学,2016.Liu Mingdong.Study on analysis and design method of lightweight reflector[D].Harbin:Harbin Institute of Technology,2016.
[13]Yoder P.Opto-Mechanical systems design,fourth edition,volume 2:design and analysis of large mirrors and structures[M].Lasers Optics&Photonics,2015.
[14]刘健,周春燕.长厚比对正六边形铝蜂窝夹层板等效板模型动力学计算精度的影响[J].复合材料学报,2016,33(8):1838—1847.Liu Jian,Zhou Chunyan.Influence of length-thickness ratio on dynamics calculation accuracy of equivalent plate model of hexagonal aluminum honeycomb sandwich plate[J].Acta Materiae Compositae Sinica,2016,33(8):1838—1847.
[15]胡海飞,关英俊,赵思宏,等.大口径反射镜分析驱动设计与优化[J].系统仿真学报,2013,25(5):990—994.Hu Haifei,Guan Yingjun,Zhao Sihong,et al.Analysis led design and optimization for large aperture mirror[J].Journal of System Simulation,2013,25(5):990—994.
[16]周于鸣,赵野,王海超,等.大口径轻质反射镜光轴水平卸载支撑方法[J].红外与激光工程,2013,42(5):1285—1290.Zhou Yuming,Zhao Ye,Wang Haichao,et al.Method of offloading supporting for large aperture light weighted reflect mirror at optical axis horizontal situation[J].Infrared and Laser Engineering,2013,42(5):1285—1290.
[17]包奇红,沙巍,陈长征,等.空间SiC反射镜背部中心支撑特性[J].光子学报,2017,46(2):0222003.Bao Qihong,Sha Wei,Chen Changzheng,et al.Characteristics of rear support in centre for space SiC mirror[J].Acta Photonica Sinica,2017,46(2):0222003.