Home // International Journal On Advances in Systems and Measurements, volume 12, numbers 1 and 2, 2019 // View article

Generation of Geodetic Lines and Duplication of Triangulated Convex Surfaces

Authors:
Anna Pestalozza
Arash Ramezani

Keywords: Geodetic Line; Surface Analysis; Surface Orientation; Surface Curvature

Abstract:
In the following paper, research about geodetic lines as well as about surface duplication is presented. The calculation of geodetic lines plays an important role in many applications, such as the minimisation of material in manufacturing processes. Many manufacturing steps, such as cutting or attaching layers on curved surfaces, suffer from loss of material. In order to minimise wastage of material, geodetic lines can be employed to find a cutting pattern for the given material with minimal distortion. This paper presents an automatable algorithm that numerically calculates geodetic lines on any given surface. The result is evaluated with a practical example by comparing the numerical result and the analytical solution. The creation of multiple layers serves the purpose to reinforce a given structure to increase its stability, which is commonly done in manufacturing processes. This paper presents an algorithm, which calculates the coordinates of multiple attached layers with any given thickness of layers. Furthermore, the point of maximum curvature is determined.

Pages: 51 to 61

Copyright: Copyright (c) to authors, 2019. Used with permission.

Publication date: June 30, 2019

Published in: journal

ISSN: 1942-261x