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The main focus of this paper is on the construction of S-shaped transition curve and extended to 2D and 3D spur gear tooth design. The curve and design is generated by using Cubic Trigonometric Bézier (T-Bézier, for short) function with two shape parameters and it has more flexibility for the interactive design due to low degree and presence of shape parameters. The smoothness of the curve is G ...
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 (TBezier, 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...
The aim of this paper is to introduce the application of an S-shaped transition curve in designing and generating a spur gear. In engineering field, the spur gear usually designed by using an involute curve where this curve needs to use a tracing point method to obtain a curve while an S-shaped curve can obtain a curve directly. The comparative study between an S-shaped method and direct method in...
The aim of this paper is to introduce the application of an S-shaped transition curve in designing and generating a spur gear. In engineering field, the spur gear usually designed by using an involute curve where this curve needs to use a tracing point method to obtain a curve while an S-shaped curve can obtain a curve directly. The comparative study between an S-shaped method and direct method in...
This paper proposes a design technique using an S-shaped and C-shaped transition curves. A simple algorithm will be proposed in this paper where this algorithm will be based on Habib and Sakai [1]. In order to use this algorithm, a few constraints are considered such as the continuity, control points, curvature, radius etc. In this paper, we will apply this algorithm to design a spur gear tooth and...
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