Li B H, Luo J, Qiu M Y, et al. Design technology of the truss support structure of the ultra-low thermal deformation gravitational wave detection telescope[J]. Opto-Electron Eng, 2023, 50(11): 230155. doi: 10.12086/oee.2023.230155
Citation: Li B H, Luo J, Qiu M Y, et al. Design technology of the truss support structure of the ultra-low thermal deformation gravitational wave detection telescope[J]. Opto-Electron Eng, 2023, 50(11): 230155. doi: 10.12086/oee.2023.230155

Design technology of the truss support structure of the ultra-low thermal deformation gravitational wave detection telescope

    Fund Project: Project supported by National Key Research and Development Program of China (2021YFC2202202), and Shenzhen Science and Technology Program (JCYJ20190807161011714,20220818153519003)
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  • This paper focuses on the ultra-low thermal deformation requirements of the main support structure of the gravitational wave detection telescope. It proposes a method to reduce the thermal deformation of the truss support structure by designing CFRP (carbon fiber reinforced polymer) layers to modify the material's thermal expansion coefficient. Additionally, to meet the alignment performance requirements of the telescope, a segmented design scheme for the structure is presented. The paper begins by analyzing the advantages of CFRP, existing methods of thermal dissipation, and the research progress both domestically and internationally. It determines the three-segment telescope design using CFRP as the support material and establishes design criteria. Next, mathematical models for "material-thermal deformation" and "truss structure-thermal deformation" are developed. Optimization is conducted for material layering and structural design, resulting in an optimized solution. Furthermore, CFRP materials are applied to the support structure, and a segmented main support structure design scheme is proposed to reduce the difficulty of structural processing and alignment. The overall structure is analyzed. The analysis results demonstrate that, in terms of mechanical performance, the overall structure's natural frequency and maximum gravity-unloading deformation meet the requirements of the main support structure. In terms of thermal deformation, the optimized design based on CFRP layering exhibits a thermal deformation that is 27.15% of the conventional layering scheme, 6.42% of the Invar material support rod scheme, 11.50% of the SiC support rod scheme, and 3.21% of the titanium alloy support rod scheme. This indicates that the optimized design can significantly reduce the structural thermal deformation.
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  • [1] 罗俊, 艾凌皓, 艾艳丽, 等. 天琴计划简介[J]. 中山大学学报(自然科学版), 2021, 60(1-2): 1−19. doi: 10.13471/j.cnki.acta.snus.2020.12.23.2020B154

    CrossRef Google Scholar

    Luo J, Ai L H, Ai Y L, et al. A brief introduction to the TianQin project[J]. Acta Sci Nat Univ Sunyatseni, 2021, 60(1-2): 1−19. doi: 10.13471/j.cnki.acta.snus.2020.12.23.2020B154

    CrossRef Google Scholar

    [2] 范纹彤, 赵宏超, 范磊, 等. 空间引力波探测望远镜系统技术初步分析[J]. 中山大学学报(自然科学版), 2021, 60(1-2): 178−185. doi: 10.13471/j.cnki.acta.snus.2020.11.02.2020b111

    CrossRef Google Scholar

    Fan W T, Zhao H C, Fan L, et al. Preliminary analysis of space gravitational wave detection telescope system technology[J]. Acta Sci Nat Univ Sunyatseni, 2021, 60(1-2): 178−185. doi: 10.13471/j.cnki.acta.snus.2020.11.02.2020b111

    CrossRef Google Scholar

    [3] Livas J C, Arsenovic P, Crow J A, et al. Telescopes for space-based gravitational wave missions[J]. Opt Eng, 2013, 52(9): 091811. doi: 10.1117/1.OE.52.9.091811

    CrossRef Google Scholar

    [4] Escudero Sanz I, Heske A, Livas J C. A telescope for LISA–the laser interferometer space antenna[J]. Adv Opt Technol, 2018, 7(6): 395−400. doi: 10.1515/aot-2018-0044

    CrossRef Google Scholar

    [5] 李文雄, 申军立, 吴清文, 等. 空间红外望远镜无热化支撑结构形式综述[J]. 红外, 2022, 43(6): 1−11. doi: 10.3969/j.issn.1672-8785.2022.06.001

    CrossRef Google Scholar

    Li W X, Shen J L, Wu Q W, et al. Overview of athermalized supporting structures for space infrared telescopes[J]. Infrared, 2022, 43(6): 1−11. doi: 10.3969/j.issn.1672-8785.2022.06.001

    CrossRef Google Scholar

    [6] 申碧云, 高明. 红外光学系统被动式无热化设计方法[J]. 电光与控制, 2012, 19(6): 70−73,78. doi: 10.3969/j.issn.1671-637X.2012.06.017

    CrossRef Google Scholar

    Shen B Y, Gao M. Passive optical athermalization design for infrared optical system[J]. Electron Opt Control, 2012, 19(6): 70−73,78. doi: 10.3969/j.issn.1671-637X.2012.06.017

    CrossRef Google Scholar

    [7] Verlaan A L, Hogenhuis H, Pijnenburg J, et al. LISA telescope assembly optical stability characterization for ESA[J]. Proc SPIE, 2017, 10564: 105640K. doi: 10.1117/12.2309058

    CrossRef Google Scholar

    [8] 张丽敏, 王富国, 安其昌, 等. Bipod柔性结构在小型反射镜支撑中的应用[J]. 光学 精密工程, 2015, 23(2): 438−443. doi: 10.3788/OPE.20152302.0438

    CrossRef Google Scholar

    Zhang L M, Wang F G, An Q C, et al. Application of Bipod to supporting structure of minitype reflector[J]. Opit Precis Eng, 2015, 23(2): 438−443. doi: 10.3788/OPE.20152302.0438

    CrossRef Google Scholar

    [9] 王永, 姚太克, 周烽, 等. 望远镜副镜的三自由度并联支撑构型研究与运动分析[J]. 光学 精密工程, 2013, 21(11): 2860−2869. doi: 10.3788/OPE.20132111.2860

    CrossRef Google Scholar

    Wang Y, Yao T K, Zhou F, et al. Type synthesis of 3-DOF parallel support system for telescope secondary mirror[J]. Opit Precis Eng, 2013, 21(11): 2860−2869. doi: 10.3788/OPE.20132111.2860

    CrossRef Google Scholar

    [10] Umińska A A, Kulkarni S, Sanjuan J, et al. Ground testing of the LISA telescope[J]. Proc SPIE, 2021, 11820: 118200I. doi: 10.1117/12.2594605

    CrossRef Google Scholar

    [11] Kulkarni S, Umińska A, Gleason J, et al. Ultrastable optical components using adjustable commercial mirror mounts anchored in a ULE spacer[J]. Appl Opt, 2020, 59(23): 6999−7003. doi: 10.1364/AO.395831

    CrossRef Google Scholar

    [12] Yang L, Wei L, Zhang L. Thermal compensation design of truss structure for large-scale off-axis three-mirror space telescope[J]. Opt Eng, 2019, 58(2): 023109. doi: 10.1117/1.OE.58.2.023109

    CrossRef Google Scholar

    [13] Schuldt T, Gohlke M, Spannagel R, et al. Sub-nanometer heterodyne interferometry and its application in dilatometry and industrial metrology[J]. Int J Optomechatroni, 2009, 3(3): 187−200. doi: 10.1080/15599610903144153

    CrossRef Google Scholar

    [14] Cordero J, Heinrich T, Schuldt T, et al. Interferometry based high-precision dilatometry for dimensional characterization of highly stable materials[J]. Meas Sci Technol, 2009, 20(9): 095301. doi: 10.1088/0957-0233/20/9/095301

    CrossRef Google Scholar

    [15] Koyanagi J, Arao Y, Utsunomiya S, et al. High accurate space telescope mirror made by light and thermally stable CFRP[J]. J Solid Mech Mater Eng, 2010, 4(11): 1540−1549. doi: 10.1299/jmmp.4.1540

    CrossRef Google Scholar

    [16] Sanjuán J, Preston A, Korytov D, et al. Carbon fiber reinforced polymer dimensional stability investigations for use on the laser interferometer space antenna mission telescope[J]. Rev Sci Instrum, 2011, 82(12): 124501. doi: 10.1063/1.3662470

    CrossRef Google Scholar

    [17] 胡守伟, 张勇, 王跃飞, 等. 三十米中国未来巨型望远镜主桁架结构的概念设计[J]. 光电工程, 2022, 49(6): 210402. doi: 10.12086/oee.2022.210402

    CrossRef Google Scholar

    Hu S W, Zhang Y, Wang Y F, et al. Concept design for the main structure of 30 m Chinese future giant telescope[J]. Opto-Electron Eng, 2022, 49(6): 210402. doi: 10.12086/oee.2022.210402

    CrossRef Google Scholar

    [18] Spannagel R, Hamann I, Sanjuan J, et al. Dilatometer setup for low coefficient of thermal expansion materials measurements in the 140 K-250 K temperature range[J]. Rev Sci Instrum, 2016, 87(10): 103112. doi: 10.1063/1.4965813

    CrossRef Google Scholar

    [19] Zhengchun D, Mengrui Z, Zhiguo W, et al. Design and application of composite platform with extreme low thermal deformation for satellite[J]. Compos Struct, 2016, 152: 693−703. doi: 10.1016/j.compstruct.2016.05.073

    CrossRef Google Scholar

    [20] Zhu X L, He R J, Lu X F, et al. A optimization technique for the composite strut using genetic algorithms[J]. Mater Des (1980–2015), 2015, 65: 482−488. doi: 10.1016/j.matdes.2014.09.039

    CrossRef Google Scholar

    [21] 张辰, 韦娟芳, 马小飞, 等. 空间超高频遥感反射器热变形优化及零膨胀材料的制备[J]. 复合材料学报, 2019, 36(4): 795−800. doi: 10.13801/j.cnki.fhclxb.20180529.001

    CrossRef Google Scholar

    Zhang C, Wei J F, Ma X F, et al. Optimization of thermal deformation of ultrahigh frequency remote sensing reflector and manufacture of a zero-expansion composite[J]. Acta Mater Compos Sin, 2019, 36(4): 795−800. doi: 10.13801/j.cnki.fhclxb.20180529.001

    CrossRef Google Scholar

    [22] Marín L, Trias D, Badalló P, et al. Optimization of composite stiffened panels under mechanical and hygrothermal loads using neural networks and genetic algorithms[J]. Compos Struct, 2012, 94(11): 3321−3326. doi: 10.1016/j.compstruct.2012.04.024

    CrossRef Google Scholar

  • At the current stage, gravitational wave telescopes have stringent requirements for thermal deformation stability. Due to limitations in manufacturing processes and material properties, it is necessary to optimize the CFRP material and structural configuration to achieve the desired design. Based on the current progress in gravitational wave telescope design and the level of manufacturing processes, combined with a comparative analysis with advanced space-based telescopes domestically and internationally, it is deemed reasonable to set the thermal deformation design target for the support structure at α<1.0×10−7 /K. This paper primarily focuses on the following research aspects: 1) In order to reduce the overall thermal deformation of the structure to below 1×10−7 /K, it is necessary to ensure that the thermal expansion coefficient of the truss material meets this requirement. Therefore, the CFRP material layering scheme is optimized to reduce its longitudinal thermal expansion coefficient to below 1×10−7 /K, which is then used for the axial direction of the truss rods. 2) Provide a structural optimization scheme to observe whether the structure can meet the requirements of ΔT=10 K conditions for the relative rigid-body displacement between the primary and secondary mirrors, ensuring dz < 10 μm and dy < 5 μm. Additionally, check if weight, modal properties, gravitational unloading, and other aspects meet the standards. 3) Building upon this, discuss whether the use of CFRP material meeting the 1×10−7 /K level can satisfy the structural stability requirements after being incorporated into the structure as truss material. 4) Compare the advantages and design potential of CFRP with conventional telescope truss materials. Therefore, the paper first analyzes the advantages of CFRP, existing methods of thermal dissipation, and research progress both domestically and internationally. It establishes a design scheme for a three-rod telescope with CFRP as the support material and proposes design criteria. Mathematical models are then developed to describe the relationship between material properties and thermal deformation as well as truss structure thermal deformation. Optimization is performed on material layering and structural design, and an optimized solution is provided. Finally, CFRP material is applied to the support structure, a segmented main support structure design is presented to reduce manufacturing and alignment difficulties, and an overall structural analysis is conducted. The analysis results demonstrate that, in terms of mechanical performance, the truss structure has a weight of 6.7 kg and a fundamental frequency of 122.61 Hz. In terms of thermal deformation, the optimized design based on CFRP layering exhibits a thermal deformation that is 27.15% of the conventional layering scheme, 6.42% of the Invar material support rod scheme, 11.50% of the SiC support rod scheme, and 3.21% of the titanium alloy support rod scheme. This indicates that the optimized design can significantly reduce the structural thermal deformation.

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