Issue |
MATEC Web Conf.
Volume 106, 2017
International Science Conference SPbWOSCE-2016 “SMART City”
|
|
---|---|---|
Article Number | 02012 | |
Number of page(s) | 6 | |
Section | 2 Buildings and Structures. Basement and foundations. | |
DOI | https://doi.org/10.1051/matecconf/201710602012 | |
Published online | 23 May 2017 |
To the problem 6 of emplacement of triangular geometric net on the sphere
1 RAAВS, BolshayaDmitrovka, 24, Moscow, 107031, Russia
2 Mordovian State University, Bolshevistskaya, 68, Saransk, 430005, Russia
* Corresponding author: antovd@mail.ru
Thesphere creates the minimal surface of enclosing structures and has unique resource saving qualities which makes it indispensable in the construction of “smart buildings». One of the methods of formation of triangular networks in the sphere was investigated. Conditions of the problem of locating a triangular network in the area were established. The evaluation criterion of solution effectiveness of the problem is the minimum number of type-sizes of dome panels, the possibility of pre-assembly and pre-stressing. The solution of the problem of the triangular network emplacement in a compatible spherical triangle on the sphere variant was provided. The problem of the emplacement of regular and irregular hexagons on the sphere, inscribed in a circles, i.e., flat figures or composed ones of spherical triangles with minimum dimensions of the ribs, has an effective solution in the form of a network, formed on the basis of minimum radii circles, i.e., circles on a sphere obtained by the touch of three adjacent circles whose centers are at the shortest distance from each other. The optimization of triangular geometric network on a sphere on the criterion of minimum sizes of elements can be solved by emplacementin the system the irregular hexagons inscribed in circles of minimal sizes, the maximum of regular hexagons.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.