Intersecting Line of Conical Surface and Smoothly Blending of Two Tubes Whose Axes Are Non-Coplanar - Journal of Applied Mathematics and Physics

Journal of Applied Mathematics and Physics

Volume 5, Issue 9 (September 2017)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 1.00 Citations

Intersecting Line of Conical Surface and Smoothly Blending of Two Tubes Whose Axes Are Non-Coplanar ()

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Download as PDF (Size: 312KB) PP. 1887-1991

DOI: 10.4236/jamp.2017.59158 764 Downloads 1,364 Views Citations

Author(s)

Genzhu Bai^1,2, Zhi Wu¹, Xiao Lin¹

Affiliation(s)

¹School of Mathematics, Inner Mongolia University for the Nationalities, Tongliao, China.
²Zhe Jiang Chang Zheng Vocational & Technical College, Hangzhou, China.

ABSTRACT

We construct two conical surfaces which take non-coplanar lines as generatrix and rational Bezier curve as ridge-line, and prove that the intersecting line of conical surface has similar properties to Bezier curve. Then, the smoothly blending of two cylinders whose axes are non-coplanar is realized by taking intersecting line of conical surface as axes.

KEYWORDS

Bezier Curve, Intersecting Line of Conical Surface, Tubes, Non-Coplanar Tubes, Smoothly Blending

Share and Cite:

Bai, G. , Wu, Z. and Lin, X. (2017) Intersecting Line of Conical Surface and Smoothly Blending of Two Tubes Whose Axes Are Non-Coplanar. Journal of Applied Mathematics and Physics, 5, 1887-1991. doi: 10.4236/jamp.2017.59158.

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