Synthesis of Spherical Object Configurations:
Models and Information Technologies
Oleksii Kartashov
a
, Kyryl Korobchynskyi
a
, Iryna Yakovleva
b
, Olga Yarovaya
a
and Georgiy Yaskov
c
a
National Aerospace University "Kharkiv Aviation Institute", 17 Chkalova Street, Kharkiv, 61070, Ukraine
b
National University of Urban Economy in Kharkiv, 17 Marshal Bazhanov Street, Kharkiv, 61002, Ukraine
c
A.N. Podgorny Institute for Mechanical Engineering Problems of the National Academy of Sciences of
Ukraine
Abstract
The problem of synthesis of optimal configurations of spherical objects is considered. The
basis is a general approach to the formalization of the configuration space of geometric
objects. The analysis of models is carried out, their typology and information technologies
for structural synthesis of complex spherical objects are offered. Approaches to the
development of new information technologies for solving problems based on their
generalized information-analytical model are proposed. Data is transformed into an object-
oriented structure for visualization of spherical configurations.
Keywords 1
Spherical object, configuration, analytical model, information technology
1. Introduction
The term configuration is understood as appearance, outline and also the relative positioning of
objects and their parts. In mathematics, as a rule, the configuration means some placement of points in
space. The problem of synthesis of spatial configurations will be considered as the definition of such a
property of geometric objects that would satisfy the given relations (constraints, properties) and would
deliver an extremum to a certain quality criterion.
In this article, we confine ourselves to a class of geometric objects of spherical form. However, the
results obtained can be generalized to broader classes of spatial objects. A significant number of
publications testify to the importance of the problems of spatial synthesis of spherical objects. The
article [1] presents an overview of the works devoted to this topic, containing more than 60
references. In [2] - [10] a number of different approaches are considered for the search for optimal
spherical configurations. Papers [11] - [16] describe practical applications of problems of placing
spherical objects with additional constraints. It should be noted that when considering this class of
problems, much attention is paid to mathematical modeling of systems with spherical objects and the
development of special methods for nonlinear optimization to solve them. Issues related to
information support, analysis of the data structure and ways to transform geometric information in the
optimization process are not fully covered.
The purpose of this paper is to describe the possibilities of using modern information technologies
when considering the investigated class of problems based on existing mathematical models and
analysis of optimization methods.
CMIS-2021: The Fourth International Workshop on Computer Modeling and Intelligent Systems, April 27, 2021, Zaporizhzhia, Ukraine
EMAIL: alexeykartashov@gmail.com (O. Kartashov); kirill.korobchinskiy@gmail.com (K. Korobchynskyi); yakovlevairine@gmail.com
(I. Yakovleva); helga.yarovaya@gmail.com (O. Yarovaya); yaskov@ukr.net (G. Yaskov)
ORCID: 0000-0002-6282-553X (O. Kartashov); 0000-0002-3676-6070 (K. Korobchynskyi); 0000-0001-5204-9779 (I. Yakovleva),
0000-0003-4969-1677 (O. Yarovaya), 0000-0002-1476-1818 (G. Yaskov)
© 2021 Copyright for this paper by its authors.
Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
CEUR Workshop Proceedings (CEUR-WS.org)