doi: 10.17706/ijapm.2019.9.4.152-157
Intersection Line of Conical Surfaces and Its Application in the Blending of Tubes with Non-coplanar Axes
Gen-Zhu Bai
,
- School of Mathematics, Inner Mongolia University for the Nationalities, Tongliao, China.
Abstract
In this paper we give a further investigation of the problem about blending different radiuses circular tubes whose axes are in non-coplaner. On the premise of smooth blending axes, we construct an intersection line of conical surfaces, the line smoothly blends generatrix of two tubes. Furthermore, obtain that the conical intersection line rotates the axis to form a tube, which smothly blends two circular tubes whose axes are in non-coplaner. This is of theoretical significance and application value for the study on smooth blending different radiuses tubes whose axes are in non-coplaner.
Keywords
- Generatrix
- non-coplaner tubes
- rational bezier curve
- smooth blending
How to Cite
Gen-Zhu Bai and Zhi Wu, "Intersection Line of Conical Surfaces and Its Application in the Blending of Tubes with Non-coplanar Axes," International Journal of Applied Physics and Mathematics, vol. 9, no. 4, pp. 152-157, 2019. https://doi.org/ 10.17706/ijapm.2019.9.4.152-157
Copyright & License
Copyright © 2019 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).