E3S Web Conf.
Volume 97, 2019XXII International Scientific Conference “Construction the Formation of Living Environment” (FORM-2019)
|Number of page(s)||10|
|Section||Reliability of Buildings and Constructions|
|Published online||29 May 2019|
Statistical modeling of the assembly of single-layer domes
Moscow State University of Civil Engineering, Yaroslavskoe shosse, 26, Moscow, 129337, Russia
* Corresponding author: firstname.lastname@example.org
A special purpose software SBORKA was developed by the author, which is intended for numerical modeling of the assembly process of single-layer lattice domes with respect to random deviations in lengths of individual bars. The dispersion of the inaccuracies in the sizes of bars is consistent with the normal distribution law, and their values are limited by the tolerances corresponding to 3σ. The assembly of a single-layer dome frame is simulated by sequentially calculating the coordinates of its nodes based on the imitation of the connection in these nodes of individual bars. Imperfections in the lengths of the bars lead to the fact that the actual geometric shape of the dome frame will differ from the design shape. Reliable analysis of the nature of the possible errors of the frames of single-layer lattice domes can only be performed by multiple assembly simulations with subsequent statistical processing of the obtained results. For the implementation of numerical statistical simulation of the assembly, the algorithm of the software includes procedures for solving various spatial problems of computational geometry. Computational procedures implemented in the software for modeling the assembly process are described in this paper.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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