Modeling ideas for ruled surfaces and their implementation in applied geometry

Abstract

The study provides theoretical and applied issues related to the establishment of interdisciplinary relations between different disciplines. An algorithm for geometric modeling of ruled surfaces is presented. Its distinctive feature is the fact that in geometric modeling the model is always a geometric figure. New geometric configurations have been obtained, due to the mutual introduction of the foundations of technology and geometry. As a result of the study, it was found that the interdisciplinary connections of geometry and technology make it possible to obtain new geometric configurations, on the basis of which it is possible to achieve new results in aviation technology and in other industries.

Climatic features of the use of special elastomers with high heat resistance in agricultural machinery

“…Rubbers are resistant to ozone and UV radiation, have a low glass transition temperature down to -63 °C, which determines frost resistance. EPDM-based vulcanizates resist well the action of acidic and alkaline media, but are destroyed under the influence of oils and fuels [29][30][31][32][33].…”

Modern methods of solving environmental space junk problems

“…Space junk is all objects of anthropogenic origin that are in outer space and do not perform any useful functions [1]. The problem of clogging the near-Earth space with "space debris" arose immediately after the launches of the first artificial Earth satellites in the late fifties [2][3][4][5][6].…”

Magnetic flux ruled surfaces

“…6 On the other hand, ruled surfaces are constructed by a one-parameter family of lines and have been studied extensively in differential geometry. [7][8][9][10][11][12] Since they are simply generated, these surfaces find application in a variety of fields such as computer aided design, architectural design, electric discharge machining, and simulation of rigid bodies.…”