G2 Bézier-Like Cubic as the S-Transition and C-Spiral Curves and Its Application in Designing a Spur Gear Tooth

Yahaya, Saifudin Hafiz and Sihombing, Haeryip and Yaakob, Mohd Yuhazri (2013) G2 Bézier-Like Cubic as the S-Transition and C-Spiral Curves and Its Application in Designing a Spur Gear Tooth. Australian Journal of Basic and Applied Sciences. pp. 109-122. ISSN 1991-8178

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Abstract

Many of the researchers or designers are mostly used the involute curves (known as one of the approximation curves) to design the profile of gears. This study intends to develop the transition (S transition and C spiral) curves using Bézier–like cubic curve function with G2 (curvature) continuity as the degree of smoothness. Method of designing the transition curves is adapted by using circle to circle templates. While the transition curves are completely finished, it will be applied in redesigning the profile of spur gear. The mathematical proofs and simple models are also shown.

Item Type:	Article
Uncontrolled Keywords:	Spur gear profile; Transition curve; Spiral curve; G2 continuity
Subjects:	Q Science > Q Science (General) T Technology > TJ Mechanical engineering and machinery Q Science > QA Mathematics > QA76 Computer software
Divisions:	Faculty of Manufacturing Engineering > Department of Manufacturing Design
Depositing User:	Mr S.H. Yahaya
Date Deposited:	09 May 2013 07:04
Last Modified:	28 May 2015 03:51
URI:	http://eprints.utem.edu.my/id/eprint/7682
Statistic Details:	View Download Statistic

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