The Construction of the Line of Intersection of Certain Complex Surfaces 2nd Order in Compass Using 2D- And 3D-Technologies

Matvey Kharakh; Boris M. Slavin; I. Kozlova; T. Guseva

doi:10.12737/12167

THE CONSTRUCTION OF THE LINE OF INTERSECTION OF CERTAIN COMPLEX SURFACES 2ND ORDER IN COMPASS USING 2D- AND 3D-TECHNOLOGIES The Construction of the Line of Intersection of Certain Complex Surfaces 2nd Order in Compass Using 2D- And 3D-Technologies

АА Аа

Published in Geometry & Graphics · Pages 38–45 · Rubric: Methodical questions of teaching

DOI: https://doi.org/10.12737/12167

Received: 10.06.2015 Accepted: 10.06.2015 Published: 10.06.2015 Language of publication: RUS

Authors

Matvey Kharakh

Boris M. Slavin

I. Kozlova

T. Guseva

Matvey Kharakh

Boris M. Slavin

Academic degree: candidate of technical sciences

Astrakhan State Technical University Associate Professor

I. Kozlova

Astrakhan State Technical University Candidate of Sciences in Technology, Assistant Professor; Assistant Professor of the Department of Mechanics and Engineering Graphics

Astrakhan Tatishchev State University Assistant Professor of the Department of Electrical Engineering, Electronics and Automation · Russian Federation

T. Guseva

ABSTRACT

The paper considers various ways to construct the intersection curves of surfaces, available in the scientific literature. The analysis shows that the exact build intersection surfaces finds extensive practical application when designing constructions from sheet material, which must be built. In this case, the accuracy of manufacturing elements construction depends largely on the accuracy of the projections of the intersection of surfaces on an integrated drawing. In this work the examples build the intersection of several complex surfaces 2nd order among themselves and with the curve line using 2D and 3D technologies. In this case, the accuracy of manufacturing elements construction depends largely on the accuracy of the projections of the intersection of surfaces on an integrated drawing. In this work the examples build the intersection of several complex surfaces 2nd order among themselves and with the curve line using 2D and 3D technologies. Provides an algorithm of building solid model of certain surfaces, which significantly reduces the time to solving problems at the intersection of the surfaces, making visibility into the solution, create a realistic model of the object. In General, this work demonstrates that one of the stages of further reform in teaching descriptive geometry is the evolutionary path of development, outlining the many issues (e.g., intersection of surfaces) using electronic kuhlmann. In this case, students will receive a decision not by pushing buttons, and applying the methods of descriptive geometry, simultaneously developing spatial imagination and computer skills are already in the first year. And the final stage of teaching descriptive geometry will transition to 3D modelling, when the above tasks will instantly and clearly resolved by simply pressing buttons.

KEYWORDS

descriptive geometry, the line crossing, surface of the 2nd order, COMPASS-Chart, 2D technology, 3D modeling, solid surface model.

Text

Кривые поверхности широко применяются в науке и технике. Построение линии пересечения поверхностей рассмотрено в многочисленных научных статьях, диссертациях [2; 3; 13; 14; 17–19; 22; 24; 25; 30; 31].

В работе [3] рассматривается построение линии пересечения нелинейчатых поверхностей 2-го порядка при скрещивающихся осях методом подобия. Автор справедливо отмечает, что построение линии пересечения таких поверхностей представляет значительную сложность и обойтись без построения кривых 2-го порядка при использовании вспомогательных секущих плоскостей не всегда удается.

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GOST

Kharakh M., Slavin B. M., Kozlova I. A., Guseva T. The Construction of the Line of Intersection of Certain Complex Surfaces 2nd Order in Compass Using 2D- And 3D-Technologies // Geometry & Graphics. 2015. no. 2. pp. 38-45. DOI: https://doi.org/10.12737/12167. (Date of access 13.09.2026).

MLA

Matvey Kharakh, Slavin B. M., Kozlova I. A., Guseva T.. "The Construction of the Line of Intersection of Certain Complex Surfaces 2nd Order in Compass Using 2D- And 3D-Technologies." Geometry & Graphics 3.2 (2015): 38-45. DOI: https://doi.org/10.12737/12167.

APA

Kharakh M., Slavin B. M., Kozlova I. A., Guseva T. (2015). The Construction of the Line of Intersection of Certain Complex Surfaces 2nd Order in Compass Using 2D- And 3D-Technologies. Geometry & Graphics, 3(2), 38-45. https://doi.org/10.12737/12167

Chicago

Matvey Kharakh, Slavin B. M., Kozlova I. A., Guseva T.. "The Construction of the Line of Intersection of Certain Complex Surfaces 2nd Order in Compass Using 2D- And 3D-Technologies." Geometry & Graphics 3, no. 2 (2015): 38-45. https://doi.org/10.12737/12167.

WIKI

{{cite journal | author = Kharakh M., Slavin B. M., Kozlova I. A., Guseva T. | title = The Construction of the Line of Intersection of Certain Complex Surfaces 2nd Order in Compass Using 2D- And 3D-Technologies | journal = Geometry & Graphics | year = 2015 | volume = 3 | issue = 2 | pages = 38-45 | doi = 10.12737/12167 }}

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THE CONSTRUCTION OF THE LINE OF INTERSECTION OF CERTAIN COMPLEX SURFACES 2ND ORDER IN COMPASS USING 2D- AND 3D-TECHNOLOGIES The Construction of the Line of Intersection of Certain Complex Surfaces 2nd Order in Compass Using 2D- And 3D-Technologies

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