Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 251-267 |
| Number of pages | 17 |
| Journal | Mathematical Engineering in Industry |
| Volume | 7 |
| Issue number | 2 |
| Publication status | Published - 1999 Dec 1 |
| Externally published | Yes |
Keywords
- Developable surface
- Flat points
- Geodesies
- Inflection lines
ASJC Scopus subject areas
- Engineering(all)