Abstract
One of the methods of formation of geometric networks of arches of the same radius using regular spherical polyhedra is Investigated. The solution of one variant of the problem of placing the network on a spherical icosahedron and, accordingly, on a sphere is given. The placement on the sphere of arches of one radius, different from the placement of the meridians, has an effective solution in the form of a network with the minimum size of the arch segments and with nodes of two intersecting arches, formed on the basis of circles of the same radius, formed on the basis of regular spherical polyhedra. Several variants of structures with a given form of loss of overall stability of domes from paired arches of the same radius are presented.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Antoshkin, V.D.: The problem of emplacement of triangular geometric net on the sphere with nodes on the same level. Int. J. Comput. Civ. Struct. Eng. 13(2), 154–160 (2017)
Antoshkin, V.D.: Effective constructively-technological solutions prefabricated spherical domes. J. Reg. Architect. Constr. 3(24), 112–121 (2015)
Antoshkin, V.D., Gudozhnikov, S.S., Perfilieva, O.I., Erofeeva, I.V.: Advanced technological solutions prefabricated spherical shells. In: CONFERENCE 2014, actual problems of architecture and construction//proceedings of the thirteenth international scientific and technical conference: in 2 parts. vol. 17, pp. 4–15 (2014)
Antoshkin, V.D., Konovalov, A.G.: Prefabricated spherical shell of hexagonal panels. Ogarev-Online 13(54), 6 P (2015)
Antoshkin, V.D., Kurbakov, G.V., Bochkin, V.S.: Method of installation of curved design tredoevropsky Vestnik pro Vedu a Vyzkum 83, 1 P (2015)
Antoshkin, V.D., Kurganski, V.G.: A.S.No.1661316 (USSR) joint connection of wooden elements/publ. 09.11.1988
Travush, V.I., Antoshkin, V.D., Yerofeev V.T.: Team spherical shell. Patent for useful model RUS 129534–/27.07.2013
Travush, V.I., Antoshkin, V.D., Yerofeev V.T.: Team spherical shell. Patent for invention RUS No 2520192—06.27.2013
Travush, V.I., Antoshkin, V.D., Erofeeva I.V.: Antoshkin Team spherical shell. Patent for invention RUS 2564545—28.07.2014
Travush, V.I., Antoshkin, V.D., Yerofeev, V.T., Gudoshnikov, S.S.: Modern constructive and technological solutions of spherical shells. J. Constr. Reconstr. 6(44), 45–55 (2012)
Travush, V.I., Antoshkin, V.D., Yerofeev, V.T., Gudoshnikov, S.: Constructive-technological capabilities of teams spherical shells. J. Constr. Reconstr. 6(50), 36–48 (2013)
Travush, V.I., Antoshkin, V.D.: The problem 7 forming triangular geometric line field. MATEC Web Conf. 86, 010 (2016). https://doi.org/10.1051/matecconf/20168601032
Travush, V.I., Antoshkin, V.D.: The problem 4 of placement triangular geometric line field. MATEC Web Conf. 86, 010 (2016). https://doi.org/10.1051/matecconf/20168601031
Travush, V.I., Antoshkin, V.D.: To the problem 5 of emplacement of triangular geometric net on the sphere. MATEC Web Conf. 106, 02003 (2017). https://doi.org/10.1051/matecconf/.201710602011
Travush, V.I., Antoshkin, V.D.: To the problem 6 of emplacement of triangular geometric net on the sphere. MATEC Web Conf. 106, 02012 (2017). https://doi.org/10.1051/matecconf/201710602012
Travush, V.I., Antoshkin, V.D., Svyatkina, A.Y.: The task of forming a network on the sphere from the circles of the same radius. TPACEE 2018 E3S Web Conf. 91, 02011 (2018)
Travush, V.I., Antoshkin, V.D., Chorina, M.V., et al.: The task 3 of forming a network on the sphere from the circles of the same radius. E3S Web of Conf. 175, 11029 (2020). https://doi.org/10.1051/e3sconf/202017511029/
Antoshkin, V.D.: Constructive and technological solutions of prefabricated spherical shells: autoref. dis.... dok. tehn. nauk. YuZGU. - Kursk: 36 P (2018)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Antoshkin, V.D., Gorina, M.V. (2022). Spherical Domes of Paired Arches of the Same Radius. In: Vatin, N.I., Tamrazyan, A.G., Plotnikov, A.N., Leonovich, S.N., Pakrastins, L., Rakhmonzoda, A. (eds) Advances in Construction and Development. CDLC 2020. Lecture Notes in Civil Engineering, vol 197. Springer, Singapore. https://doi.org/10.1007/978-981-16-6593-6_4
Download citation
DOI: https://doi.org/10.1007/978-981-16-6593-6_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-6592-9
Online ISBN: 978-981-16-6593-6
eBook Packages: EngineeringEngineering (R0)