Application of Hyperbolic Paraboloid in Architectural Design

Hyperbolic paraboloid is a kind of ruled space surface with beautiful shape. It is often used in architectural design and can achieve a free and flexible appearance effect. Due to the complexity of curved surfaces, many architects do not know how to navigate them. The main purpose of this article is...

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Main Authors: Qiheng Wang, Yang Li, Zixuan Wang
Format: Article
Language:English
Published: Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek 2023-01-01
Series:Tehnički Vjesnik
Subjects:
Online Access:https://hrcak.srce.hr/file/444217
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author Qiheng Wang
Yang Li
Zixuan Wang
author_facet Qiheng Wang
Yang Li
Zixuan Wang
author_sort Qiheng Wang
collection DOAJ
description Hyperbolic paraboloid is a kind of ruled space surface with beautiful shape. It is often used in architectural design and can achieve a free and flexible appearance effect. Due to the complexity of curved surfaces, many architects do not know how to navigate them. The main purpose of this article is to explore how to use hyperbolic paraboloids in architectural design. Firstly, the formation principle of hyperbolic paraboloid is analyzed from a mathematical perspective. Then, through investigating examples, it expounds its application in architectural design. Hyperbolic paraboloids are mainly used in building roofs, especially in large span buildings. There are three uses of hyperbolic paraboloids in roofs, corresponding to three different architectural shapes.The first is to cut a hyperbolic paraboloid vertically with four planes, and the contour projection is a rectangle or parallelogram. The second is to cut the hyperbolic paraboloid vertically and horizontally with four planes, and the contour projection is a curved quadrilateral. The third is to cut hyperbolic paraboloid with elliptic surface, and the contour projection is an ellipse. Finally, the conclusion is drawn on how to flexibly use hyperbolic paraboloids in architectural design, and what are the advantages and disadvantages of hyperbolic paraboloids, which has important reference value for architects to carry out related designs.
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spelling doaj.art-de040246129b47fcaf3b65286d5195592024-04-15T18:53:20ZengFaculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in OsijekTehnički Vjesnik1330-36511848-63392023-01-013051674168110.17559/TV-20230306000407Application of Hyperbolic Paraboloid in Architectural DesignQiheng Wang0Yang Li1Zixuan Wang2Undergraduate Department, Anhui Water Conservancy Technical College, Hefei 231603, China, No. 18, Hema Road, Hefei, Anhui ProvinceDepartment of Municipal Engineering, Anhui Water Conservancy Technical College, Hefei 231603, China, No. 18, Hema Road, Hefei, Anhui ProvinceDepartment of Architectural Engineering, Anhui Water Conservancy Technical College, Hefei 231603, China, No. 18, Hema Road, Hefei, Anhui ProvinceHyperbolic paraboloid is a kind of ruled space surface with beautiful shape. It is often used in architectural design and can achieve a free and flexible appearance effect. Due to the complexity of curved surfaces, many architects do not know how to navigate them. The main purpose of this article is to explore how to use hyperbolic paraboloids in architectural design. Firstly, the formation principle of hyperbolic paraboloid is analyzed from a mathematical perspective. Then, through investigating examples, it expounds its application in architectural design. Hyperbolic paraboloids are mainly used in building roofs, especially in large span buildings. There are three uses of hyperbolic paraboloids in roofs, corresponding to three different architectural shapes.The first is to cut a hyperbolic paraboloid vertically with four planes, and the contour projection is a rectangle or parallelogram. The second is to cut the hyperbolic paraboloid vertically and horizontally with four planes, and the contour projection is a curved quadrilateral. The third is to cut hyperbolic paraboloid with elliptic surface, and the contour projection is an ellipse. Finally, the conclusion is drawn on how to flexibly use hyperbolic paraboloids in architectural design, and what are the advantages and disadvantages of hyperbolic paraboloids, which has important reference value for architects to carry out related designs.https://hrcak.srce.hr/file/444217architectural designhyperbolic paraboloidroofruled surface
spellingShingle Qiheng Wang
Yang Li
Zixuan Wang
Application of Hyperbolic Paraboloid in Architectural Design
Tehnički Vjesnik
architectural design
hyperbolic paraboloid
roof
ruled surface
title Application of Hyperbolic Paraboloid in Architectural Design
title_full Application of Hyperbolic Paraboloid in Architectural Design
title_fullStr Application of Hyperbolic Paraboloid in Architectural Design
title_full_unstemmed Application of Hyperbolic Paraboloid in Architectural Design
title_short Application of Hyperbolic Paraboloid in Architectural Design
title_sort application of hyperbolic paraboloid in architectural design
topic architectural design
hyperbolic paraboloid
roof
ruled surface
url https://hrcak.srce.hr/file/444217
work_keys_str_mv AT qihengwang applicationofhyperbolicparaboloidinarchitecturaldesign
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