Method for calculating parameters of the equidistant toroidal shell of a composite balloon
Authors: Komkov M.A., Badanina Y.V. | Published: 04.08.2023 |
Published in issue: #8(761)/2023 | |
Category: Mechanical Engineering and Machine Science | Chapter: Manufacturing Engineering | |
Keywords: composite balloon, toroidal shell generatrix, meridional winding, circumferential winding, elliptic integrals |
The paper considers a promising high-pressure toroidal composite cylinder. It proposes a design option, where its load-bearing shell is reinforced with strong fibers along the meridian. Calculated dependences were obtained to determine the shape of the equal-strength toroidal shell generatrix registered by the elliptic integrals. The generatrix consisted of two smooth curves symmetrically located relative to the horizontal axis and intersecting at the acute angle. The annular frame made by the fibers circumferential winding was installed along the circle, where the revolution surfaces formed by the indicated curves intersected; the frame was made by circumferential winding of the fibers. Numerical example is provided, where geometric and mass characteristics of the designed toroidal pressure vessel were calculated.
References
[1] Tumanov A.V., Zelentsov V.V., Shcheglov G.A. Osnovy komponovki bortovogo oborudovaniya kosmicheskikh apparatov [Fundamentals of spacecraft on-board equipment layout]. Moscow, Bauman MSTU Publ., 2010. 341 p. (In Russ.).
[2] Komkov M.A., Tarasov V.A. Tekhnologiya namotki kompozitnykh konstruktsiy raket i sredstv porazheniya [Technology of winding composite structures of missiles and weapons]. Moscow, Bauman MSTU Publ., 2011. 431 p. (In Russ.).
[3] Komkov M.A., Chan Ngok Tkhan. Composite torus balloon for breathing apparatus with longitudinal-transverse composite shell reinforcement scheme. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [BMSTU Journal of Mechanical Engineering], 2006, no. 3, pp. 10–19. (In Russ.).
[4] Cook J., Chambers J., Richards B.J. Toroidal pressure vessels for breathing apparatus. Progress Through Innovation and Cost Effectiveness. SAMPE, 1998, pp. 125–132.
[5] Komkov M.A. Equal-tensioned torus sheathing made of fibreglass-reinforced plastic. Primenenie plastmass v mashinostroenii, 1978, no. 17, pp. 75–83. (In Russ.).
[6] Komkov M.A., Bochkarev S.V., Galinovskiy A.L. et al. Tekhnologiya proizvodstva i diagnostika kachestva kompozitnykh konstruktsiy raketno-kosmicheskoy tekhniki [Manufacturing technology and quality diagnostics of composite structures of rocket and space technology]. Staryy Oskol, TNT Publ., 2020. 344 p. (In Russ.).
[7] Guzeva T.A., Nekhoroshikh G.E. Tekhnologiya izgotovleniya predvaritelno propitannykh voloknistykh materialov [Manufacturing technology for pre-impregnated fibrous materials]. Moscow, Bauman MSTU Publ., 2018. 29 p. (In Russ.).
[8] Namotochnye stanki i drugoe oborudovanie [Winding machines and other equipment]. namotka.com: website. URL: http://www.namotka.com/products/ (accessed: 05.05.2023). (In Russ.).
[9] Obraztsov I.F., Vasilyev V.V., Bunakov V.A. Optimalnoe armirovanie obolochek vrashcheniya iz kompozitsionnykh materialov [Optimal reinforcement of rotating shells made of composite materials]. Moscow, Mashinostroenie Publ., 1977. 144 p. (In Russ.).
[10] Vasiliev V.V. Composite pressure vessels. Bull Ridge, 2009. 690 p.
[11] Sherch G., Berggraf O. Analytical study of the optimum shape of pressure vessels coiled from fibres. Raketnaya tekhnika i kosmonavtika, 1964, no. 5, pp. 33–47. (In Russ.).
[12] Cherevatskiy S.B., Romashov Yu.T. Towards a study of rotating shells formed by winding a single filament family. Prochnost i dinamika aviatsionnykh dvigateley, 1966, no. 4, pp. 5–19. (In Russ.).
[13] Feodosyev V.I. Izbrannye zadachi i voprosy po soprotivleniyu materialov [Selected problems and questions on the strength of materials]. Moscow, Nauka Publ., 1996. 365 p. (In Russ.).
[14] Zinovyev P.A., Fomin B.Ya. Proektirovanie sosudov davleniya minimalnogo vesa, obrazovannykh namotkoy steklonityu [Design of minimum weight pressure vessels formed by winding fiberglass thread]. V: Polimernye materialy v mashinostroenii. Sb. nauchnykh trudov. Vyp. 127 [In: Polymer materials in mechanical engineering. Coll. sci. pap. Iss. 127]. Perm, Perm. politekhn. in-t Publ., 1973, pp. 91–96. (In Russ.).
[15] Komkov M.A., Galinovskiy A.L., Htet K.M. Composite shell of toroidal balloons of breathing apparatus with meridional winding of threads. J. Phys.: Conf. Ser., 2021, vol. 1990, art. 012048, doi: http://dx.doi.org/10.1088/1742-6596/1990/1/012048
[16] Komkov M.A. Toroidal uniformly stressed pressure vessel shell formed by the meridian and ring filament winding. Inzhenernyy zhurnal: nauka i innovatsii [Engineering Journal: Science and Innovation], 2021, no. 8, doi: http://dx.doi.org/10.18698/2308-6033-2021-8-2100 (in Russ.).
[17] Gradshteyn I.S., Ryzhik I.M. Tablitsy integralov, summ, ryadov i proizvedeniy [Tables of integrals, sums, series and products]. Moscow, Fizmatgiz Publ., 1963. 1100 p. (In Russ.).
[18] Sarbaev B.S., Muravyev V.V., Chzhan S. Design of the toroidal composite pressure vessel made by meridional winding of fibers. Izvestiya vuzov. Ser. Tekhnologiya tekstilnoy promyshlennosti [Proceedings of Higher Education Institutions. Textile Industry Technology], 2021, no. 6, pp. 256–263, doi: http://dx.doi.org/10.47367/0021-3497_2021_6_256 (in Russ.).