Spur gear tooth design and transition curve as a spiral using cubic trigonometric Bezier function

In this paper, we construct an S-shaped transition curve and spur gear tooth model. The attempt has been made to use the circle to circle technique an S-Shaped transition curve by using Cubic Trigonometric Bezier function (T-Bezier, for short) with two shape parameters . The shape parameters are use...

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Main Authors: Wasim, Muhammad Abbas, Yahaya, Saifudin Hafiz, Jamal, Ena, Abd Majid, Ahmad, Md. Ali, Jamaludin
Format: Conference or Workshop Item
Language:English
Published: IEEE Computer Society 2011
Subjects:
Online Access:http://eprints.utem.edu.my/id/eprint/4387/
http://eprints.utem.edu.my/id/eprint/4387/1/CGIV11.pdf
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author Wasim, Muhammad Abbas
Yahaya, Saifudin Hafiz
Jamal, Ena
Abd Majid, Ahmad
Md. Ali, Jamaludin
author_facet Wasim, Muhammad Abbas
Yahaya, Saifudin Hafiz
Jamal, Ena
Abd Majid, Ahmad
Md. Ali, Jamaludin
author_sort Wasim, Muhammad Abbas
building UTeM Institutional Repository
collection Online Access
description In this paper, we construct an S-shaped transition curve and spur gear tooth model. The attempt has been made to use the circle to circle technique an S-Shaped transition curve by using Cubic Trigonometric Bezier function (T-Bezier, for short) with two shape parameters . The shape parameters are used to control the S-shaped transition curves and provide the more flexibility for the interactive design. We have used two curve segments for the completion of single gear teeth instead of four curve segments. This model is the introduction of new cost effective, more economical and computationally easy a more efficient for CAD and CAE systems than ever before. The smoothness of the curve is G2 continuity.
first_indexed 2025-11-15T19:47:51Z
format Conference or Workshop Item
id utem-4387
institution Universiti Teknikal Malaysia Melaka
institution_category Local University
language English
last_indexed 2025-11-15T19:47:51Z
publishDate 2011
publisher IEEE Computer Society
recordtype eprints
repository_type Digital Repository
spelling utem-43872023-07-18T12:53:12Z http://eprints.utem.edu.my/id/eprint/4387/ Spur gear tooth design and transition curve as a spiral using cubic trigonometric Bezier function Wasim, Muhammad Abbas Yahaya, Saifudin Hafiz Jamal, Ena Abd Majid, Ahmad Md. Ali, Jamaludin TJ Mechanical engineering and machinery QA75 Electronic computers. Computer science In this paper, we construct an S-shaped transition curve and spur gear tooth model. The attempt has been made to use the circle to circle technique an S-Shaped transition curve by using Cubic Trigonometric Bezier function (T-Bezier, for short) with two shape parameters . The shape parameters are used to control the S-shaped transition curves and provide the more flexibility for the interactive design. We have used two curve segments for the completion of single gear teeth instead of four curve segments. This model is the introduction of new cost effective, more economical and computationally easy a more efficient for CAD and CAE systems than ever before. The smoothness of the curve is G2 continuity. IEEE Computer Society 2011 Conference or Workshop Item PeerReviewed text en http://eprints.utem.edu.my/id/eprint/4387/1/CGIV11.pdf Wasim, Muhammad Abbas and Yahaya, Saifudin Hafiz and Jamal, Ena and Abd Majid, Ahmad and Md. Ali, Jamaludin (2011) Spur gear tooth design and transition curve as a spiral using cubic trigonometric Bezier function. In: 2011 Eighth International Conference Computer Graphics, Imaging and Visualization, 17-19 August 2011, Singapore. http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6054091 10.1109/CGIV.2011.38
spellingShingle TJ Mechanical engineering and machinery
QA75 Electronic computers. Computer science
Wasim, Muhammad Abbas
Yahaya, Saifudin Hafiz
Jamal, Ena
Abd Majid, Ahmad
Md. Ali, Jamaludin
Spur gear tooth design and transition curve as a spiral using cubic trigonometric Bezier function
title Spur gear tooth design and transition curve as a spiral using cubic trigonometric Bezier function
title_full Spur gear tooth design and transition curve as a spiral using cubic trigonometric Bezier function
title_fullStr Spur gear tooth design and transition curve as a spiral using cubic trigonometric Bezier function
title_full_unstemmed Spur gear tooth design and transition curve as a spiral using cubic trigonometric Bezier function
title_short Spur gear tooth design and transition curve as a spiral using cubic trigonometric Bezier function
title_sort spur gear tooth design and transition curve as a spiral using cubic trigonometric bezier function
topic TJ Mechanical engineering and machinery
QA75 Electronic computers. Computer science
url http://eprints.utem.edu.my/id/eprint/4387/
http://eprints.utem.edu.my/id/eprint/4387/
http://eprints.utem.edu.my/id/eprint/4387/
http://eprints.utem.edu.my/id/eprint/4387/1/CGIV11.pdf