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Surface segmentation design using a weighting level set topology optimization method for large radio telescope antennas

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Abstract

Surface segmentation design is a conceptual problem in the structural design of large radio telescope antennas. Before performing surface segmentation optimization, a weighting level set topology optimization method is proposed for the antenna backup supporting structure from the viewpoint of continuum topology optimization. With the help of weighting level set topology optimization, a clear and compact backup supporting structure is acquired. Taking the optimized topology backup supporting structure as the design basis, a surface segmentation optimization scheme is presented and extended to the full aperture. By employing this method in the conceptual surface segmentation design of two large radio telescope antenna applications, the effectiveness of this method is easily illustrated.

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References

  • Andreassen E, Clausen A, Schevenels M, Lazarov BS, Sigmund O (2011) Efficient topology optimization in MATLAB using 88 lines of code. Struct Multidiscip Optim 43:1–16

    Article  Google Scholar 

  • Baars JWM, Karcher HJ (2018) Radio telescope reflectors: historical development of design and construction. Springer New York

  • Challis VJ (2010) A discrete level-set topology optimization code written in Matlab. Struct Mutidiscip Optim 41:453–464

    Article  MathSciNet  Google Scholar 

  • Chahat N, Sauder J, Mitchell M, Beidleman N, Freebury G (2020) One-meter deployable mesh reflector for deep-space network telecommunication at X-band and Ka-band. IEEE Trans Antennas Propag 68(2):727–735

    Article  Google Scholar 

  • Charak U, Sinha AK (2019) Divergent linkage reconfigurable mould for rapid prototyping. Mater Today 18:2903–2908

    Google Scholar 

  • Duan B (2020) Large spaceborne deployable antennas (LSDAs)- a comprehensive summary. Chinese J Electron 29(1):1–15

    Article  Google Scholar 

  • Emmendoerfer H Jr, Silva ECN, Fancello EA (2019) Stress-constrained level set topology optimization for design-dependent pressure load problems. Comput Methods Appl Mech Eng 344:569–601

    Article  MathSciNet  Google Scholar 

  • Emmendoerfer H Jr, Fancello EA, Silva ECN (2020) Stress-constrained level set topology optimization for compliant mechanisms. Comput Methods Appl Mech Eng 362:112777

    Article  MathSciNet  Google Scholar 

  • Feng S, Ban Y, Duan B et al (2020) Electronic performance-oriented mold sharing method and application in QTT 110 m large radio telescope. IEEE Trans Antennas Propag 68(8):6407–6412

    Article  Google Scholar 

  • Fernandez F, Barker AT, Kudo J, Lewick JP, Swartz K, Tortorelli DA, Watts S, White DA, Wong J (2020) Simultaneous material, shape and topology optimization. Comput Methods Appl Mech Eng 371:113321

    Article  MathSciNet  Google Scholar 

  • Galizia FG, Maraghy WE, Maraghy HE et al (2019) The evolution of molds in manufacturing: from rigid to flexible. Proc Manuf 33:319–326

    Google Scholar 

  • Guo X, Zhang W, Zhang J, Yuan J (2016) Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons. Comput Methods Appl Mech Eng 310:711–748

    Article  MathSciNet  Google Scholar 

  • Imbriale WA (2006) Spaceborne antennas for planetary exploration. California Institute of Technology

  • Jiang Y, Zhao M (2020) Topology optimization under design-dependent loads with the parameterized level-set method based on radial-basis functions. Comput Methods Appl Mech Eng 369:113235

    Article  MathSciNet  Google Scholar 

  • Li D, Dickey JM, Liu S (2019) Planning the scientific applications of the five-hundred-meter aperture spherical radio telescope. Res Astron Astrophys 19(2):1–2

    Article  Google Scholar 

  • Liu K, Tovar A (2014) An efficient 3D topology optimization code written in Matlab. Struct Multidiscip Optim 50:1175–1196

    Article  MathSciNet  Google Scholar 

  • Mo K, Guo D, Wang H (2020) Iterative reanalysis approximation-assisted moving morphable component-based topology optimization method. Int J Numer Methods Eng 121(22):5101–5122

    Article  MathSciNet  Google Scholar 

  • Nan RD, Zhang HY, Zhang Y et al (2017) Construction progress of the FAST project. Chin Astron Astr 41:293–301

    Article  Google Scholar 

  • Otomori M, Yamada T, Izui K, Nishiwaki S (2015) Matlab code for a level set-based topology optimization method using a reaction diffusion equation. Struct Mutidiscip Optim 51:1159–1172

    Article  MathSciNet  Google Scholar 

  • Picelli R, Neofytou A, Kim HA (2019) Topology optimization for design-dependent hydrostatic pressure loading via the level-set method. Struct Multidiscip Optim 60(4):1313–1326

    Article  MathSciNet  Google Scholar 

  • Rahmat-Samii Y, Manohar V, Kovitz JM, Hodges RE, Freebury G, Peral E (2019) Development of highly constrained 1 m Ka-band mesh deployable offset reflector antenna for next generation Cubesat radars. IEEE Trans Antennas Propag 67(10):6254–6266

    Article  Google Scholar 

  • Sato Y, Izui K, Yamada T, Nishiwaki S, Ito M, Kogiso N (2019) Reliability-based topology optimization under shape uncertainty modeled in an Eulerian description. Struct Multidiscip Optim 59:75–91

    Article  MathSciNet  Google Scholar 

  • Usuda T, Ezaki Y, Kawaguchi N et al (2014) Preliminary design study of the TMT telescope structure system: overview. Proc SPIE 9145:1–2

    Google Scholar 

  • Wang L, Li Z, Ni B, Gu K (2021) Non-probabilistic reliability-based topology optimization (NRBTO) scheme for continuum structures based on the parameterized level-set method and interval mathematics. Comput Methods Appl Mech Eng 373:113477

    Article  MathSciNet  Google Scholar 

  • Wei P, Paulino GH (2020) A parameterized level set method combined with polygonal finite elements in topology optimization. Struct Multidiscip Optim 61(5):1913–1928

    Article  MathSciNet  Google Scholar 

  • Zhang S, Duan B (2020) Topology optimization of continuum supporting structures for microwave antenna applications. Struct Mutidiscip Optim 62:2409–2422

    Article  Google Scholar 

  • Zhang S, Duan B, Song L, Zhang X (2019) A handy formula for estimating the effects of random surface errors on average power pattern of distorted reflector antennas. IEEE Trans Antennas Propag 67(1):649–653

    Article  Google Scholar 

  • Zuo ZH, Xie YM (2015) A simple and compact python code for complex 3D topology optimization. Adv Eng Softw 85:1–11

    Article  Google Scholar 

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Acknowledgements

The authors would like to thank the reviewers and editor for their very beneficial comments and suggestion, which helped a lot in improving this paper.

Funding

This work was supported by the National Natural Science Foundation of China No. 51705388, Shaanxi Natural Science Basic Research Project No. 2020JM-181, and the Young Talent fund of the University Association for Science and Technology in Shaanxi, China.

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Authors and Affiliations

  1. Key Laboratory of Electronic Equipment Structure Design (Ministry of Education), Xidian University, Xi’an, 710071, Shaanxi, China

    Shuxin Zhang & Jun Song

  2. Guangzhou Institute of Technology, Xidian University, Guangzhou, 510555, Guangdong, China

    Shuxin Zhang

Authors
  1. Shuxin Zhang
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  2. Jun Song
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Correspondence to Shuxin Zhang.

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The authors declare that they have no conflict of interest.

Replication of results

The results presented in this study can be replicated by implementing the formulas and data structures presented in this study. The main code for the weighting aperture field function is attached here, which is called from the MATLAB prompt by means of the following line:

figure a

where nelx and nely are the number of elements in the horizontal and vertical directions, respectively, B is an edge taper control factor, and P and q are the control factors in the horizontal and vertical directions, respectively.

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Responsible Editor: Axel Schumacher

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Zhang, S., Song, J. Surface segmentation design using a weighting level set topology optimization method for large radio telescope antennas. Struct Multidisc Optim 64, 905–918 (2021). https://doi.org/10.1007/s00158-021-02901-7

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  • DOI: https://doi.org/10.1007/s00158-021-02901-7

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