Cyclical Surfaces Created by Helix on General Surface of Revolution

This paper describes the method for modelling of cyclical surfaces created by the helix on the general surface of revolution Φ. The axis of the cyclical surface Φ1 is the helix s created by screwing the point located on the surface Φ about the axis of this surface. The circle moves together with Fre...

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Main Author:	Olejníková Tatiana
Format:	Article
Language:	English
Published:	Sciendo 2013-11-01
Series:	Selected Scientific Papers: Journal of Civil Engineering
Subjects:	cyclical surface helix frenet-serret moving trihedron transformation matrices general surface of revolution
Online Access:	https://doi.org/10.2478/sspjce-2013-0016

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record_format	Article
spelling	doaj-77984f98d3154e5782ff7f7344ceca4d2021-09-05T14:02:03ZengSciendoSelected Scientific Papers: Journal of Civil Engineering1338-72782013-11-0182334010.2478/sspjce-2013-0016Cyclical Surfaces Created by Helix on General Surface of RevolutionOlejníková Tatiana0Technical University of Košice Faculty of Civil Engineering, Institute of Construction Technology and ManagementThis paper describes the method for modelling of cyclical surfaces created by the helix on the general surface of revolution Φ. The axis of the cyclical surface Φ1 is the helix s created by screwing the point located on the surface Φ about the axis of this surface. The circle moves together with Frenet-Serret moving trihedron along the helix s and creates the cyclical surface Φ1. The paper describes also the modelling of a rope of n cyclical surfaces created by moving circles about tangent, principal normal or binormal of the helix s.https://doi.org/10.2478/sspjce-2013-0016cyclical surfacehelixfrenet-serret moving trihedrontransformation matricesgeneral surface of revolution
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Olejníková Tatiana
spellingShingle	Olejníková Tatiana Cyclical Surfaces Created by Helix on General Surface of Revolution Selected Scientific Papers: Journal of Civil Engineering cyclical surface helix frenet-serret moving trihedron transformation matrices general surface of revolution
author_facet	Olejníková Tatiana
author_sort	Olejníková Tatiana
title	Cyclical Surfaces Created by Helix on General Surface of Revolution
title_short	Cyclical Surfaces Created by Helix on General Surface of Revolution
title_full	Cyclical Surfaces Created by Helix on General Surface of Revolution
title_fullStr	Cyclical Surfaces Created by Helix on General Surface of Revolution
title_full_unstemmed	Cyclical Surfaces Created by Helix on General Surface of Revolution
title_sort	cyclical surfaces created by helix on general surface of revolution
publisher	Sciendo
series	Selected Scientific Papers: Journal of Civil Engineering
issn	1338-7278
publishDate	2013-11-01
description	This paper describes the method for modelling of cyclical surfaces created by the helix on the general surface of revolution Φ. The axis of the cyclical surface Φ1 is the helix s created by screwing the point located on the surface Φ about the axis of this surface. The circle moves together with Frenet-Serret moving trihedron along the helix s and creates the cyclical surface Φ1. The paper describes also the modelling of a rope of n cyclical surfaces created by moving circles about tangent, principal normal or binormal of the helix s.
topic	cyclical surface helix frenet-serret moving trihedron transformation matrices general surface of revolution
url	https://doi.org/10.2478/sspjce-2013-0016
work_keys_str_mv	AT olejnikovatatiana cyclicalsurfacescreatedbyhelixongeneralsurfaceofrevolution
_version_	1717809136058499072

Cyclical Surfaces Created by Helix on General Surface of Revolution

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