Geometrical modeling of the process of weaving a wire cloth in weightlessness using the inertial unfolding of a dual pendulum
DOI:
https://doi.org/10.15587/1729-4061.2018.121022Keywords:
geometrical modeling, woven wire cloth, dual pendulum, unfolding of antenna, Lagrangian equation of the second kindAbstract
We proposed a geometrical model for weaving a wire cloth using the oscillations of a system of two-link pendulums within an abstract plane and under conditions of weightlessness. It is expected to initiate oscillations through the application of pulses to each of the nodal elements of each of the pendulums, induced by two pulse jet engines. The pendulums are arranged in line on the platform, aligned with an abstract plane. The plane moves in the direction of its normal using the jet engines. Attachment points of the dual pendulums are selected so that when unfolded their last loads come into contact. Upon simultaneous initiation of oscillations of all pendulums and setting the platform in motion, we consider traces from the spatial displacements of the last loads of pendulums. It is assumed that wire that accepts the shape of the specified traces comes from the last loads and forms the zigzag-like elements of the mesh. In order to fix elements of the mesh, it is suggested that they should be point welded at the moments of contact between the last loads of the pendulums. A description of the inertial unfolding of dual pendulums is compiled using a Lagrange equation of the second kind, in which potential energy was not taken into consideration because of weightlessness. Reliability of the considered geometrical model for weaving a wire cloth was verified in a series of created animated videos that illustrated the process of formation of the elements of a wire cloth. Results might prove useful for designing large-sized structures in weightlessness, for example, antennas for ultralong waves.
References
- Semler, D., Tulintseff, A., Sorrell, R., Marshburn, J. (2010). Design, Integration, and Deployment of the TerreStar 18-meter Reflector. 28th AIAA International Communications Satellite Systems Conference (ICSSC-2010). doi: 10.2514/6.2010-8855
- Ermolenko, І. V. (2013). Novyi aspekt vykorystannia osnovoviazanykh sitkopoten. Visnyk Khmelnytskoho natsionalnoho universytetu. Ser.: Tekhnichni nauky, 3, 73–78.
- Zavaruev, V. A., Belyaev, O. F., Khalimanovich, V. I. (2017). Use of textile technologies for creation of a reflecting surface of transformable space antennas. Modern problems of engineering sciences: the collection of scientific works of the VIth International Scientific and Technical Symposium "Modern Energy and Resource Saving Technologies SETT-2017". Vol. 4. Мoscow: GBOU V "RSU them. A. N. Kosygin", 915–919.
- Zavaruev, V. A., Kotovich, O. S. (2007). Investigation of the influence of the types of loops of warp knitwear from metal threads on its physicomechanical and electrophysical properties. Izvestiya Vuzov. Technology of the textile industry, 3S (302), 91–93.
- Belyaev, O. F., Zavaruev, V. A., Kudryavin, L. A., Podshivalov, S. F., Khalimanovich, V. I. (2007). Knitted metal netoplotna for the reflecting surface of transformable terrestrial and space antennas. Technical textiles, 16.
- Ponomarev, S. V. (2011). Transformable reflectors of spacecraft antennae. Bulletin of Tomsk State University. Mathematics and mechanics, 4 (16), 110–119.
- Zimin, V., Krylov, A., Meshkovskii, V., Sdobnikov, A., Fayzullin, F., Churilin, S. (2014). Features of the Calculation Deployment Large Transformable Structures of Different Configurations. Science and Education of the Bauman MSTU, 10, 179–191. doi: 10.7463/1014.0728802
- Zimin, V. N. (2005). Specific features of calculating the unfolding truss space structure. Problems of Machine Building and Machine Reliability, 1, 20–25.
- Melnikov, V. M., Matyushenko, I. N., Chernova, N. A., Kharlov, B. N. (2017). Problems in the Creation of Large-Dimensional Structures in Space. Electronic Journal Proceedings of the MAI, 78. Available at: http://trudymai.ru/upload/iblock/b87/b87ab54fb2066fe8ae55665c93427b09.pdf
- Meshkovsky, V. Ye. (2009). Geometric model of a large-dimensional space truss structure opening. Vestnik of the MSTU. N. E. Bauman. Ser.: Natural Sciences, 4, 56–71.
- Kudryavin, L. A., Zavaruev, V. A., Belyaev, O. F. (2013). The use of knitted metal netoploten for the reflecting surface of the transformed terrestrial and space antennas. The use of new textile and composite materials in technical textiles. Kazan: KNITU Publishing House, 92–97.
- Goryachkin, O. V., Maslov, I. V. (2016). Analysis of an antenna system design for a synthetic L- and P-band aperture radar. VESTNIK of Samara University. Aerospace and Mechanical Engineering, 15 (3), 153–162. doi: 10.18287/2541-7533-2016-15-3-153-162
- Hoyt, R. P., Cushing, J. I., Slostad, J. T., Jimmerson, G., Moser, T., Kirkos, G. et. al. (2013). SpiderFab: An Architecture for Self-Fabricating Space Systems. American Institute of Aeronautics and Astronautics, 17. Available at: http://www.tethers.com/papers/SPACE2013_SpiderFab.pdf
- Hoyt R., Cushing J., Jimmerson G., Slostad J., Dyer R., Alvarado S. SpiderFab™: Process for On-Orbit Construction of Kilometer Scale Apertures. Available at: https://www.nasa.gov/sites/default/files/atoms/files/niac_hoyt_spiderfab_ph_2_finalreport_tagged.pdf
- SpiderFab™ Orbital Manufacturing and Construction Technologies. Available at: http://www.tethers.com/SpiderFab.html
- Archinaut. Available at: https://singularityhub.com/2016/03/02/archinaut-a-3d-printing-robot-to-make-big-structures-in-space
- Kutsenko, L., Shoman, O., Semkiv, O., Zapolsky, L., Adashevskay, I., Danylenko, V. et. al. (2017). Geometrical modeling of the inertial unfolding of a multi-link pendulum in weightlessness. Eastern-European Journal of Enterprise Technologies, 6 (7 (90)), 42–50. doi: 10.15587/1729-4061.2017.114269
- Kutsenko, L. N. Illustrations to the geometric modeling of the inertial opening of the multi-link pendulum in g-zero. Available at: http://repositsc.nuczu.edu.ua/handle/123456789/4868
- Szuminski, W. (2014). Dynamics of multiple pendula without gravity. Chaotic Modeling and Simulation, 1, 57–67. Available at: http://www.cmsim.eu/papers_pdf/january_2014_papers/7_CMSIM_Journal_2014_Szuminski_1_57-67.pdf
- Kutsenko, L. M. Iliustratsiy do heometrychnoho modeliuvannia pletinnia sitkopolotna v nevahomosti za dopomohoiu inertsiynoho rozkryttia podviynoho maiatnyka. Available at: http://repositsc.nuczu.edu.ua/handle/123456789/5143
- Kutsenko, L. N., Adashevskaya, I. Yu. (2008). Geometric modeling of oscillations of multi-link pendulums. Kharkiv: "NTMT", 176.
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Copyright (c) 2018 Leonid Kutsenko, Oleg Semkiv, Leonid Zapolskiy, Olga Shoman, Andrii Kalynovskyi, Mykhailo Piksasov, Irina Adashevska, Inessa Shelihova, Olena Sydorenko
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