author_facet Koźniewski, Edwin
Borowska, Anna
Koźniewski, Edwin
Borowska, Anna
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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series Open Engineering
source_id 49
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
author_facet Koźniewski, Edwin, Borowska, Anna, Koźniewski, Edwin, Borowska, Anna
author_sort koźniewski, edwin
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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