Wellmann, C.; Lillie, C.; Wriggers, P.: A contact detection algorithm for superellipsoids based on the common-normal concept. In: Engineering Computations (Swansea, Wales) 25 (2008), Nr. 5, S. 432-442. DOI:
https://doi.org/10.1108/02644400810881374
Zusammenfassung: |
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. © Emerald Group Publishing Limited.
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Lizenzbestimmungen: |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
Publikationstyp: |
Article |
Publikationsstatus: |
publishedVersion |
Erstveröffentlichung: |
2008 |
Schlagwörter (englisch): |
Computational geometry, Motion, Algorithms, Newton-Raphson method, Optimization, Sheet metal, Signal detection, Contact detection, Contact detection algorithm, Contact points, Convergence (mathematics), Design/methodology/approach, High accuracy, Iterative solutions, Levenberg-Marquardt methods, Newton's methods, Number of iterations, Surface normals, Surface points, Unconstrained optimization, Boolean functions
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Fachliche Zuordnung (DDC): |
620 | Ingenieurwissenschaften und Maschinenbau
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