Helicalaone, two, threearevolutional Cyclical Surfaces

Dr. Tatiana Olejnikova

Helicalaone, two, threearevolutional Cyclical Surfaces

Dr. Tatiana Olejnikova * §

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§ Technical University of KoAice

Helicalaone, two, threearevolutional Cyclical Surfaces

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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 s 1 created by revolving the point about n each other revolving axes o n (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 s 1 , where its center lies on the helix and circle lies in the normal plane of the helix creates the cyclical surface.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Tatiana Olejnikova. 2013. "Helicalaone, two, threearevolutional Cyclical Surfaces". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F4).

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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

Keywords

cyclical surface frenet-serret moving trihedron helix transformation matrices

Classification

GJSFR-F Classification MSC 2010: 05B20

Submission ReceivedApril 3, 2013
Peer Review Double Blind
Handling Editor
Accepted April 23, 2013
Published May 25, 2013

Version of record

v1.2

Issue date

May 25, 2013

Language

English

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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): 303

Total Views (Real + Logic): 1920

Total Downloads (simulated): 173

Publish Date: 2013 05, Sun

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Total Views: 1.9K

Total Downloads: 173

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