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- W1999372592 abstract "This paper presents a new formulation of the dynamical Coulomb friction problem in finite dimension with discretized time. The novelty of our approach is to capture and treat directly the friction model as a parametric quadratic optimization problem with second-order cone constraints coupled with a fixed point equation. This intrinsic formulation allows a simple existence proof under reasonable assumptions, as well as a variety of solution algorithms. We study mechanical interpretations of these assumptions, showing in particular that they are actually necessary and sufficient for a basic example similar to the so-called “paradox of Painlevé”. Finally, we present some implementations and experiments to illustrate the practical aspect of our work." @default.
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- W1999372592 date "2010-09-28" @default.
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- W1999372592 title "A formulation of the linear discrete Coulomb friction problem via convex optimization" @default.
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- W1999372592 doi "https://doi.org/10.1002/zamm.201000073" @default.
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