Surface error correction of a mesh deployable reflector

Surface error correction of a mesh deployable reflector

Pietro Davide MADDIO, Pietro SALVINI, Rosario SINATRA, Alessandro CAMMARATA

download PDF

Abstract. Large Deployable Reflector (LDR) systems are commonly used as mesh reflectors for large aperture space antennas in aerospace applications since they provide affordability while guaranteeing at the same time a high gain and a high directivity. To improve the surface accuracy several methods have been studied, most of which measure the distance between the cable-net system that forms the reflector surface and the desired paraboloid. In this paper we want to improve the reflector’s ability to convey a greater concentration of reflected rays in the direction of the feed. To deal with this issue, a numerical optimization algorithm has been proposed.

Form-Finding, Deployable Reflector, Optimization Problem

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Pietro Davide MADDIO, Pietro SALVINI, Rosario SINATRA, Alessandro CAMMARATA, Surface error correction of a mesh deployable reflector, Materials Research Proceedings, Vol. 26, pp 665-670, 2023


The article was published as article 107 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

[1] L. Puig, A. Barton, N. Rando. A review on large deployable structures for astrophysics missions. Acta Astronautica 67.1-2 (2010): 12-26.
[2] A. Cammarata, M. Lacagnina, R. Sinatra. Closed-form solutions for the inverse kinematics of the Agile Eye with constraint errors on the revolute joint axes. 2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2016.
[3] A. Cammarata, R. Sinatra, A. Rigano, M. Lombardo, P.D. Maddio. Design of a large deployable reflector opening system. Machines, 8(1), (2020). 7.
[4] A. Cammarata, R. Sinatra, P.D. Maddio. A two-step algorithm for the dynamic reduction of flexible mechanisms. In IFToMM Symposium on Mechanism Design for Robotics (pp. 25-32). (2018). Springer, Cham.
[5] Z. Huang, F. Xi, T. Huang, J. S. Dai, R. Sinatra. Lower-mobility parallel robots: theory and applications. Advances in Mechanical Engineering 2 (2010): 927930.
[6] S. Yuan, B. Yang, H. Fang. The Projecting Surface Method for improvement of surface accuracy of large deployable mesh reflectors. Acta Astronautica 151 (2018): 678-690.
[7] S. Yuan, B. Yang, H. Fang. Direct root-mean-square error for surface accuracy evaluation of large deployable mesh reflectors. AIAA SciTech 2020 Forum. 2020.
[8] S. Yuan, B. Yang, H. Fang. Improvement of surface accuracy for large deployable mesh reflectors. AIAA/AAS Astrodynamics Specialist Conference. 2016.
[9] Y. Tang, T. Li, Z. Wang, H. Deng. Surface accuracy analysis of large deployable antennas. Acta Astronautica 104.1 (2014): 125-133.
[10] A. Cammarata, R. Sinatra, R. Rigato, P.D. Maddio. Tie-system calibration for the experimental setup of large deployable reflectors. Machines 7.2 (2019): 23.
[11] P. Agrawal, M. Anderson, M. Card. Preliminary design of large reflectors with flat facets. IEEE transactions on antennas and propagation 29.4 (1981): 688-694.
[12] H. Deng, T. Li, Z. Wang, X. Ma. Pretension design of space mesh reflector antennas based on projection principle. Journal of Aerospace Engineering 28.6 (2015): 04014142.
[13] S. Morterolle, B. Maurin, J. Quirant, C. Dupuy. Numerical form-finding of geotensoid tension truss for mesh reflector. Acta Astronautica 76 (2012): 154-163.