<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Cyclical Surfaces Created by Helix on General Surface of Revolution

Technical University of Košice Faculty of Civil Engineering, Institute of Construction Technology and Management

Selected Scientific Papers - Journal of Civil Engineering

{"article-title":"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...

Cyclical Surfaces Created by Helix on General Surface of Revolution

Published Online: Nov 09, 2013

Page range: 33 - 40

DOI: https://doi.org/10.2478/sspjce-2013-0016

This content is open access.