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Hyperboloid offset surface in the architecture and construction industry
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Zeitschriftentitel: | Open Engineering |
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Personen und Körperschaften: | , |
In: | Open Engineering, 9, 2019, 1, S. 404-413 |
Format: | E-Article |
Sprache: | Englisch |
veröffentlicht: |
Walter de Gruyter GmbH
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Schlagwörter: |
author_facet |
Koźniewski, Edwin Borowska, Anna Koźniewski, Edwin Borowska, Anna |
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author |
Koźniewski, Edwin Borowska, Anna |
spellingShingle |
Koźniewski, Edwin Borowska, Anna Open Engineering Hyperboloid offset surface in the architecture and construction industry Electrical and Electronic Engineering Mechanical Engineering Aerospace Engineering General Materials Science Civil and Structural Engineering Environmental Engineering |
author_sort |
koźniewski, edwin |
spelling |
Koźniewski, Edwin Borowska, Anna 2391-5439 Walter de Gruyter GmbH Electrical and Electronic Engineering Mechanical Engineering Aerospace Engineering General Materials Science Civil and Structural Engineering Environmental Engineering http://dx.doi.org/10.1515/eng-2019-0051 <jats:title>Abstract</jats:title> <jats:p>In this paper the issue of approximation of the hyperboloid offset surface off(<jats:italic>S</jats:italic>(<jats:italic>t</jats:italic>, <jats:italic>v</jats:italic>); <jats:italic>d</jats:italic>) at distance <jats:italic>d</jats:italic> by the hyperboloid surface <jats:italic>S</jats:italic> <jats:sub>1</jats:sub>(<jats:italic>ϕ</jats:italic>, <jats:italic>v</jats:italic>) is considered. The problem of determining various surfaces approximating the hyperboloid offset surface off (<jats:italic>S</jats:italic>(<jats:italic>t</jats:italic>, <jats:italic>v</jats:italic>); <jats:italic>d</jats:italic>) is important due to the applications of the hyperboloid as a mathematical model for miscellaneous objects in the architecture and construction industry. The paper presents the method of determining the angles and coordinates of points of various surfaces approximating the hyperboloid of revolution. A two-sheet hyperboloid offset surface can be used for modelling double-layer domes. A one-sheet hyperboloid offset surface was used to model the reinforced structure of the cooling tower.</jats:p> Hyperboloid offset surface in the architecture and construction industry Open Engineering |
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10.1515/eng-2019-0051 |
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Walter de Gruyter GmbH |
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Open Engineering |
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title |
Hyperboloid offset surface in the architecture and construction industry |
title_unstemmed |
Hyperboloid offset surface in the architecture and construction industry |
title_full |
Hyperboloid offset surface in the architecture and construction industry |
title_fullStr |
Hyperboloid offset surface in the architecture and construction industry |
title_full_unstemmed |
Hyperboloid offset surface in the architecture and construction industry |
title_short |
Hyperboloid offset surface in the architecture and construction industry |
title_sort |
hyperboloid offset surface in the architecture and construction industry |
topic |
Electrical and Electronic Engineering Mechanical Engineering Aerospace Engineering General Materials Science Civil and Structural Engineering Environmental Engineering |
url |
http://dx.doi.org/10.1515/eng-2019-0051 |
publishDate |
2019 |
physical |
404-413 |
description |
<jats:title>Abstract</jats:title>
<jats:p>In this paper the issue of approximation of the hyperboloid offset surface off(<jats:italic>S</jats:italic>(<jats:italic>t</jats:italic>, <jats:italic>v</jats:italic>); <jats:italic>d</jats:italic>) at distance <jats:italic>d</jats:italic> by the hyperboloid surface <jats:italic>S</jats:italic>
<jats:sub>1</jats:sub>(<jats:italic>ϕ</jats:italic>, <jats:italic>v</jats:italic>) is considered. The problem of determining various surfaces approximating the hyperboloid offset surface off (<jats:italic>S</jats:italic>(<jats:italic>t</jats:italic>, <jats:italic>v</jats:italic>); <jats:italic>d</jats:italic>) is important due to the applications of the hyperboloid as a mathematical model for miscellaneous objects in the architecture and construction industry. The paper presents the method of determining the angles and coordinates of points of various surfaces approximating the hyperboloid of revolution. A two-sheet hyperboloid offset surface can be used for modelling double-layer domes. A one-sheet hyperboloid offset surface was used to model the reinforced structure of the cooling tower.</jats:p> |
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author | Koźniewski, Edwin, Borowska, Anna |
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description | <jats:title>Abstract</jats:title> <jats:p>In this paper the issue of approximation of the hyperboloid offset surface off(<jats:italic>S</jats:italic>(<jats:italic>t</jats:italic>, <jats:italic>v</jats:italic>); <jats:italic>d</jats:italic>) at distance <jats:italic>d</jats:italic> by the hyperboloid surface <jats:italic>S</jats:italic> <jats:sub>1</jats:sub>(<jats:italic>ϕ</jats:italic>, <jats:italic>v</jats:italic>) is considered. The problem of determining various surfaces approximating the hyperboloid offset surface off (<jats:italic>S</jats:italic>(<jats:italic>t</jats:italic>, <jats:italic>v</jats:italic>); <jats:italic>d</jats:italic>) is important due to the applications of the hyperboloid as a mathematical model for miscellaneous objects in the architecture and construction industry. The paper presents the method of determining the angles and coordinates of points of various surfaces approximating the hyperboloid of revolution. A two-sheet hyperboloid offset surface can be used for modelling double-layer domes. A one-sheet hyperboloid offset surface was used to model the reinforced structure of the cooling tower.</jats:p> |
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spelling | Koźniewski, Edwin Borowska, Anna 2391-5439 Walter de Gruyter GmbH Electrical and Electronic Engineering Mechanical Engineering Aerospace Engineering General Materials Science Civil and Structural Engineering Environmental Engineering http://dx.doi.org/10.1515/eng-2019-0051 <jats:title>Abstract</jats:title> <jats:p>In this paper the issue of approximation of the hyperboloid offset surface off(<jats:italic>S</jats:italic>(<jats:italic>t</jats:italic>, <jats:italic>v</jats:italic>); <jats:italic>d</jats:italic>) at distance <jats:italic>d</jats:italic> by the hyperboloid surface <jats:italic>S</jats:italic> <jats:sub>1</jats:sub>(<jats:italic>ϕ</jats:italic>, <jats:italic>v</jats:italic>) is considered. The problem of determining various surfaces approximating the hyperboloid offset surface off (<jats:italic>S</jats:italic>(<jats:italic>t</jats:italic>, <jats:italic>v</jats:italic>); <jats:italic>d</jats:italic>) is important due to the applications of the hyperboloid as a mathematical model for miscellaneous objects in the architecture and construction industry. The paper presents the method of determining the angles and coordinates of points of various surfaces approximating the hyperboloid of revolution. A two-sheet hyperboloid offset surface can be used for modelling double-layer domes. A one-sheet hyperboloid offset surface was used to model the reinforced structure of the cooling tower.</jats:p> Hyperboloid offset surface in the architecture and construction industry Open Engineering |
spellingShingle | Koźniewski, Edwin, Borowska, Anna, Open Engineering, Hyperboloid offset surface in the architecture and construction industry, Electrical and Electronic Engineering, Mechanical Engineering, Aerospace Engineering, General Materials Science, Civil and Structural Engineering, Environmental Engineering |
title | Hyperboloid offset surface in the architecture and construction industry |
title_full | Hyperboloid offset surface in the architecture and construction industry |
title_fullStr | Hyperboloid offset surface in the architecture and construction industry |
title_full_unstemmed | Hyperboloid offset surface in the architecture and construction industry |
title_short | Hyperboloid offset surface in the architecture and construction industry |
title_sort | hyperboloid offset surface in the architecture and construction industry |
title_unstemmed | Hyperboloid offset surface in the architecture and construction industry |
topic | Electrical and Electronic Engineering, Mechanical Engineering, Aerospace Engineering, General Materials Science, Civil and Structural Engineering, Environmental Engineering |
url | http://dx.doi.org/10.1515/eng-2019-0051 |