Computation of inflection lines and geodesies on developable surfaces

T. Maekawa*, J. S. Chalfant

*この研究の対応する著者

研究成果: Article査読

7 被引用数 (Scopus)

抄録

A developable surface can be formed by bending or rolling a planar surface without stretching or tearing; in other words, it can be developed or unrolled isometrically onto a plane. This paper describes two main differential geometry properties of developable surfaces that have industrial applications. First, a method for identifying the inflection line of a developable surface is described. Second, geodesic lines between two points on a developable surface are found as an initial value problem, which is easier to solve than the boundary value problem that is normally required.

本文言語English
ページ(範囲)251-267
ページ数17
ジャーナルMathematical Engineering in Industry
7
2
出版ステータスPublished - 1999 12 1
外部発表はい

ASJC Scopus subject areas

  • 工学(全般)

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