Approximation of free-form curve - Airfoil shape

Approximation of free-form shape is essential in numerous engineering applications, particularly in automotive and aircraft industries. Commercial CAD software for the approximation of free-form shape is based almost exclusively on parametric polynomial and rational parametric polynomial. The pa...

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Main Authors: Chong, Perk Lin, Cheong, Khai Yip
Format: Article
Language:English
Published: School of Engineering, Taylor’s University 2013
Subjects:
Online Access:http://eprints.intimal.edu.my/70/
http://eprints.intimal.edu.my/70/1/Approximation%20of%20free-form%20curve%20-%20Airfoil%20shape.pdf
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author Chong, Perk Lin
Cheong, Khai Yip
author_facet Chong, Perk Lin
Cheong, Khai Yip
author_sort Chong, Perk Lin
building INTI Institutional Repository
collection Online Access
description Approximation of free-form shape is essential in numerous engineering applications, particularly in automotive and aircraft industries. Commercial CAD software for the approximation of free-form shape is based almost exclusively on parametric polynomial and rational parametric polynomial. The parametric curve is defined by vector function of one independent variable R(u) = (x(u), y(u), z(u)), where 0≤u≤1. Bézier representation is one of the parametric functions, which is widely used in the approximating of free-form shape. Given a string of points with the assumption of sufficiently dense to characterise airfoil shape, it is desirable to approximate the shape with Bézier representation. The expectation is that the representation function is close to the shape within an acceptable working tolerance. In this paper, the aim is to explore the use of manual and automated methods for approximating section curve of airfoil with Bézier representation.
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spelling intimal-702016-10-06T05:53:49Z http://eprints.intimal.edu.my/70/ Approximation of free-form curve - Airfoil shape Chong, Perk Lin Cheong, Khai Yip TA Engineering (General). Civil engineering (General) Approximation of free-form shape is essential in numerous engineering applications, particularly in automotive and aircraft industries. Commercial CAD software for the approximation of free-form shape is based almost exclusively on parametric polynomial and rational parametric polynomial. The parametric curve is defined by vector function of one independent variable R(u) = (x(u), y(u), z(u)), where 0≤u≤1. Bézier representation is one of the parametric functions, which is widely used in the approximating of free-form shape. Given a string of points with the assumption of sufficiently dense to characterise airfoil shape, it is desirable to approximate the shape with Bézier representation. The expectation is that the representation function is close to the shape within an acceptable working tolerance. In this paper, the aim is to explore the use of manual and automated methods for approximating section curve of airfoil with Bézier representation. School of Engineering, Taylor’s University 2013 Article PeerReviewed text en http://eprints.intimal.edu.my/70/1/Approximation%20of%20free-form%20curve%20-%20Airfoil%20shape.pdf Chong, Perk Lin and Cheong, Khai Yip (2013) Approximation of free-form curve - Airfoil shape. Journal of Engineering Science and Technology, 8 (6). pp. 692-702. ISSN 1823-4690 http://jestec.taylors.edu.my/
spellingShingle TA Engineering (General). Civil engineering (General)
Chong, Perk Lin
Cheong, Khai Yip
Approximation of free-form curve - Airfoil shape
title Approximation of free-form curve - Airfoil shape
title_full Approximation of free-form curve - Airfoil shape
title_fullStr Approximation of free-form curve - Airfoil shape
title_full_unstemmed Approximation of free-form curve - Airfoil shape
title_short Approximation of free-form curve - Airfoil shape
title_sort approximation of free-form curve - airfoil shape
topic TA Engineering (General). Civil engineering (General)
url http://eprints.intimal.edu.my/70/
http://eprints.intimal.edu.my/70/
http://eprints.intimal.edu.my/70/1/Approximation%20of%20free-form%20curve%20-%20Airfoil%20shape.pdf