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- W2007677977 abstract "This paper is a summary of a comprehensive study of the problem of predicting the accelerations of a set of rigid, three-dimensional bodies in contact in the presence of Coulomb friction. We begin with a brief introduction of this problem and its governing equations. This is followed by the introduction of complementarity formulations for the contact problem under two friction laws: Coulomb's Law of quadratic friction and an approximated pyramid law. Existence and uniqueness results for the complementary problems are presented. Algorithms for solving these problems are proposed and their convergence properties are discussed. Computational results are presented and conclusions are drawn. Diese Arbeit ist die Zusammenfassung einer eingehenden Studie zum Vorhersageproblem für die Beschleunigungen einer Menge starrer, drei-dimensionaler Körper, die sich berühren, wobei Coulombsche Reibung auftritt. Wir beginnen mit einer kurzen Einführung dieses Problems und der es steuernden Gleichungen. Diese ist gefolgt von einer Einführung von Komplementaritätsformulierungen für das Kontakt-Problem unter zwei Reibungsgesetzen: Dem Coulombschen Gesetz der quadratischen Reibung und dem angenäherten Pyramiden-Gesetz. Für die Komplementaritätsprobleme werden Existenz- und Eindeutigkeitssätze angegeben. Auch werden Algorithmen zur Lösung dieser Probleme vorgeschlagen, und es werden deren Konvergenzeigenschaften diskutiert. Es werden numerische Ergebnisse gebracht und Schlüsse aus diesen gezogen." @default.
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- W2007677977 date "1997-01-01" @default.
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- W2007677977 title "On Dynamic Multi-Rigid-Body Contact Problems with Coulomb Friction" @default.
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- W2007677977 doi "https://doi.org/10.1002/zamm.19970770411" @default.
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