Spherical Shells With Negative Gaussian Curvature Fabricated From Flat Hexagonal and Triangular Panels
Abstract
The paper deals with the construction of spherical shells based on radial-ring architecture. One of methods of forming a triangular network on a sphere is called Trainer. The optimality criterion in each method is the minimum number of standard sizes of the structural elements and the minimum number of assembly part of a dome, site joint, and presetress. Theoretical prerequisites to placement of hexagonal panels on spherical shells are studied in the paper. The analysis shows that the shell surface has a negative Gaussian curvature for the discussed panel arrangement and requires a specific structure of mounting components.
References
1. Antoshkin V., Travush V.I., Erofeev V.T., Rimshin V.I., Kurbatov V.L. The problem of optimization of geometric triangular line field. Modern Applied Science. 2015. V. 9. No. 3. Pр. 46–50.
2. Antoshkin V.D. Effektivnye konstruktivno-tekhnologicheskie resheniya sbornykh sfericheskikh kupolov [Effective constructional solutions for prefabricated domes. Regional'naya arkhitektura i stroitel'stvo. 2015. No. 3 (24). Pp. 112–121 (rus)
3. Antoshkin V.D., Gudozhnikov S.S., Perfilieva O.I., Erofeeva I.V. Perspektivnye konstruktivnotekhnologicheskie resheniya sbornykh sfericheskikh obolochek [Prospective technological solutions for prefabricated spherical shell]. Proc. 13th Int. Sci. Conf. ‘Relevant Problems of Architecture and Construction’. 2014. Pр. 4–15. (rus)
4. Antoshkin V.D., Konovalov A.G. Sbornye sfericheskie obolochki iz shestiugol'nykh panelei [Prefabricated spherical shells of hexagonal panels]. Ogarev-Online. 2015. No. 13 (54). P. 6. (rus)
5. Antoshkin V.D., Kurbakov G.V., Bochkin V.S. Sposob montazha krivolineinoi konstruktsii [Method of mounting curved structure]. USSR author's certificate N 1174546. (rus)
6. Antoshkin V.D., Kurganskii V.G. Stykovoe soedinenie derevyannykh elementov [Joint connection of wooden elements]. USSR author's certificate N 1661316. (rus)
7. Ezhov E.F., Yurkin Yu.V., Antoshkin D.V., Ezhov E.V. Postroenie linii vliyaniya v trekhsharnirnykh arkakh [Influence line in three-hinged archs]. Proc. 13th All-Russ. Sci. Conf. ‘Modern Technology of Construction Materials and Structures’. Saransk, 2003. Pp. 160–164. (rus)
8. Travush V.I., Antoshkin V.D., Erofeev V.T. Sbornaya sfericheskaya obolochka [Prefabricated spherical shell]. Patent RF N 129534. 2013. (rus)
9. Travush V.I., Antoshkin V.D., Erofeev V.T. Sbornaya sfericheskaya obolochka [Prefabricated spherical shell]. Patent RF N 2520192.2013. (rus)
10. Travush V.I., Antoshkin V.D., Erofeeva I.V., Antoshkin D.V. Sbornaya sfericheskaya obolochka [Prefabricated spherical shell]. Patent RF N 2564545 .2014. (rus)
11. Travush V.I., Antoshkin V.D., Erofeev V.T., Gudoshnikov S.S. Sovremennye konstruktivno-tekhnologicheskie resheniya sfericheskikh obolochek [Modern constructional solutions of spherical shells]. Construction and reconstruction. 2012. No. 6 (44). Pp. 45–55. (rus)
12. Travush V.I., Antoshkin V.D., Erofeev V.T., Gudoshnikov S.S. Constructive-technological capabilities of teams spherical shells. Stroitel'stvo i rekonstruktsiya. 2013. No. 6 (50). P. 36–48. (rus)
13. Travush V.I., Antoshkin V.D. The problem 7 forming triangular geometric line field. MATEC Web of Conferences. 2016. 86, 010. DOI: 10.1051/matecconf/20168601032
14. Travush V.I., Antoshkin V.D. The problem 4 of placement triangular geometric line field. MATEC Web of Conferences. 2016. 86, 010. DOI: 10.1051/matecconf/20168601031
15. Тravush V.I., Antoshkin V.D. To the problem 5 of emplacement of triangular geometric net on the sphere. MATEC Web of Conferences. 2017. 106, 02003. DOI: 10.1051/matecconf/ 201710602012
16. Travush V.I., Antoshkin V.D. To the problem 6 of emplacement of triangular geometric net on the sphere. MATEC Web of Conferences. 2017. 106, 02012. DOI: 10.1051/matecconf/ 201710602012
17. Scilab Software 5.4.1. The free platform for numerical computation. 2014. Available at: www.softkumir.ru/index
Review
For citations:
Antoshkin V.D. Spherical Shells With Negative Gaussian Curvature Fabricated From Flat Hexagonal and Triangular Panels. Vestnik of Tomsk state university of architecture and building. 2017;(4):93-100. (In Russ.)
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