A contact detection algorithm for superellipsoids based on the common-normal concept
- verfasst von
- Christian Wellmann, Claudia Lillie, Peter Wriggers
- Abstract
Purpose - The paper aims to introduce an efficient contact detection algorithm for smooth convex particles. Design/methodology/approach - The contact points of adjacent particles are defined according to the common-normal concept. The problem of contact detection is formulated as 2D unconstrained optimization problem that is solved by a combination of Newton's method and a Levenberg-Marquardt method. Findings - The contact detection algorithm is efficient in terms of the number of iterations required to reach a high accuracy. In the case of non-penetrating particles, a penetration can be ruled out in the course of the iterative solution before convergence is reached. Research limitations/implications - The algorithm is only applicable to smooth convex particles, where a bijective relation between the surface points and the surface normals exists. Originality/value - By a new kind of formulation, the problem of contact detection between 3D particles can be reduced to a 2D unconstrained optimization problem. This formulation enables fast contact exclusions in the case of non-penetrating particles.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Typ
- Artikel
- Journal
- Engineering Computations (Swansea, Wales)
- Band
- 25
- Seiten
- 432-442
- Anzahl der Seiten
- 11
- ISSN
- 0264-4401
- Publikationsdatum
- 18.07.2008
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Software, Allgemeiner Maschinenbau, Angewandte Informatik, Theoretische Informatik und Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1108/02644400810881374 (Zugang:
Unbekannt)
