Mathematical experiment when developinglarge deployable structures
Large space structures are carried into space orbits in a folded densely packed position, whereas putting them into working position refers to the process of structure deployment. The ground-based deployment tryout appears to be extremely expensive, therefore, when developing deployable structures, methods that combine the ground-based tests of physical models of the structure and carrying out of mathematical experiments using designed models for calculation, which appropriately show how the structure behaves during the tests, have their special place. Simulation of such structures deployment during the ground-based tests is performed using as an example a physical model of the circle load-bearing folding frame with diameter of 4 m. A comparison of the results of calculations and the relevant ground-based tests findings helps clarify characteristics of the stops, which are used in the designed models for calculation. Using the designed models for calculation and the clarified stops characteristics, simulation of deployment of the physical model of the structure in the outer space environment is performed.
 Lopatin A.V., Rutkovskaya M.A. Obzor konstruktsyi sovremennykh transformiruyemykh kosmicheskikh antenn (Chast’ 1) [The review of designs of modern transformed space antennas Part 1]. Siberian Journal of Science and Technology, 2007, no. 2, pp. 51–57 (in Russ.).
 Lopatin A.V., Rutkovskaya M.A. Obzor konstruktsyi sovremennykh transformiruyemykh kosmicheskikh antenn (Chast’ 2) [The review of designs of modern transformed space antennas Part 2]. Siberian Journal of Science and Technology, 2007, no. 3, pp. 78–81 (in Russ.).
 Ponomarev S.V. Transformiruyemyie reflektory antenn kosmicheskikh apparatov [Transformable reflectors of spacecraft antennas]. Tomsk State University Journal of Mathematics and Mechanics, 2011, no. 4 (16), pp. 110–119 (in Russ.).
 Zheng F., Chen M. Affordable System Conceptual Structure Design of New Deployable Space-borne Antenna. In: 33th AIAA International Communications Satellite Systems Conference and Exhibition. Published Online: 3 Sep 2015 https://doi.org/10.2514/6.2015-4343
 Hasanzade V., Sedighy S.H., Shahravi M. Compact Deployable Umbrella Antenna Design with Optimum Communication Properties. Journal of Spacecraft and Rockets, 2017, 54, 1–5. DOI:10.2514/1.A33710
 Borzikh S.V., Ilyasova I.R. Modelirovaniye i eksperimental’naya otrabotka protsessa raskrytiya krupnogabaritnykh mnogozvennykh solnechnykh batarey kosmicheskikh apparatov [Simulation and experimental development of deployment of large-sized multi-link solar batteries of spacecrafts]. Engineering Journal: Science and Innovation, 2012, no. 8 (8) (in Russ.). DOI: 10.18698/2308-6033-2012-8-447
 Zimin V., Krylov A., Churilin S., Zikun Z. Mathematical modeling of transformable space structure dynamics. EPJ Web of Conferences 221, 01018 (2019). https://doi.org/10.1051/epjconf/201922101018
 Krylov A.V., Churilin S.A. Modelirovaniye razviortyvaniya mnogozvennykh zamknutykh kosmicheskikh konstruktsyi [Simulation of deployment of multi-link closed space structure]. Engineering Journal: Science and Innovation, 2012, no. 8 (8). DOI: 10/18698/2308-6033-2012-8-449
 Krylov A.V. Issledovaniye protsessa raskrytiya antennogo kontura [Investigation of the antenna deployment behavior]. Proceedings of Higher Educational Institutions. Маchine Building, 2013, no. 12 (657), pp. 45–50.
 Krylov A.V., Churilin S.A. Metodika opredeleniya napriazhionno-deformirovannogo sostoyaniya elementov transformiruyemykh mnogozvennykh konstruktsyi [Methods of deployable multilink structures elements stressed state investigation]. Izvestiya vysshykh uchebnykh zavedeniy. Fizika (Russian Physics Journal), 2013, vol. 56, no. 7–3, pp. 170–172 (in Russ.).