1. bookVolume 8 (2013): Issue 2 (November 2013)
Journal Details
License
Format
Journal
eISSN
1338-7278
ISSN
1338-7278
First Published
29 Mar 2013
Publication timeframe
2 times per year
Languages
English
access type Open Access

Cyclical Surfaces Created by Helix on General Surface of Revolution

Published Online: 09 Nov 2013
Volume & Issue: Volume 8 (2013) - Issue 2 (November 2013)
Page range: 33 - 40
Journal Details
License
Format
Journal
eISSN
1338-7278
ISSN
1338-7278
First Published
29 Mar 2013
Publication timeframe
2 times per year
Languages
English
Abstract

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.

Keywords

[1] Budinský, B. & Kepr, B. (1970) Basic of Differetial Geometry with Technical Applications. Praha, SNTL - Publishers of Technical LiteratureSearch in Google Scholar

[2] Olejníková, T. (2009). Two-Revolutional Cyclical Surface. Acta Polytechnica Hungarica, Journal of Applied Sciences. Vol.6, Issue 4, pp. 101-110Search in Google Scholar

[3] Olejníková, T. (2013). Helical one, two, three-revolutional Cyclical surfaces. Global Journal ofScience Frontier research F, Mathematics and Decision Sciences. Vol.13, Issue 4, pp.46-56Search in Google Scholar

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