Helicalaone, two, threearevolutional Cyclical Surfaces

Helicalaone, two, threearevolutional Cyclical Surfaces

Article ID

71LWX

Helicalaone, two, threearevolutional Cyclical Surfaces

Dr. Tatiana Olejnikova Technical University of KoAice

DOI

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Abstract

This paper describes method for modelling of helical-n-revolutional cyclical surfaces. The axis of the cyclical surface 1 is the helix s1 created by revolving the point about n each other revolving axes (n = 1,2,3), that move together with Frenet-Serret moving trihedron along the cylindrical helix s. Particular evolutions are determined by its angular velocity and orientation. The moving circle along the helix s or s1, where its center lies on the helix and circle lies in the normal plane of the helix creates the cyclical surface.

Helicalaone, two, threearevolutional Cyclical Surfaces

Authors

Dr. Tatiana Olejnikova Technical University of KoAice

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How to Cite

Dr. Tatiana Olejnikova. 2013. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F4): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

GJSFR Volume 13 Issue F4
Pg. 47- 56

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Submission Received April 3, 2013
Accepted April 23, 2013
Published May 5, 2013

Keywords

cyclical surface frenet-serret moving trihedron helix transformation matrices

Article Matrices

Total Score: 106

Country: Slovakia

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Dr. Tatiana Olejnikova (PhD/Dr. count: 1)

View Count (all-time): 49

Total Views (Real + Logic): 4832

Total Downloads (simulated): 2467

Publish Date: 2013 05, Sat

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Total Views: 4832

Total Downloads: 2467

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