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Friction Models in the Framework of Set-Valued and Convex Analysis

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Nonlinear Analysis and Global Optimization

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 167))

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Abstract

It is well known that modeling friction forces is a complex problem and constitutes an important topic in both mechanical engineering and applied mathematics. In this paper, we show how the approach of Moreau and Panagiotopoulos can be used to develop a suitable methodology for the formulation and the mathematical analysis of various friction models in nonsmooth mechanics. We study 11 widespread engineering friction models in the context of modern set-valued and convex analysis. The stability analysis (in the sense of Lyapunov) of a two-degree-of-freedom mechanical system with dry friction is also discussed.

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Authors and Affiliations

  1. Laboratoire XLIM, Université de Limoges, Limoges, France

    Samir Adly

  2. Laboratoire PIMENT, Université de La Reunion, Saint-Denis, France

    Daniel Goeleven & Rachid Oujja

Authors
  1. Samir Adly
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  2. Daniel Goeleven
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  3. Rachid Oujja
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Correspondence to Daniel Goeleven .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  2. Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, USA

    Panos M. Pardalos

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Adly, S., Goeleven, D., Oujja, R. (2021). Friction Models in the Framework of Set-Valued and Convex Analysis. In: Rassias, T.M., Pardalos, P.M. (eds) Nonlinear Analysis and Global Optimization. Springer Optimization and Its Applications, vol 167. Springer, Cham. https://doi.org/10.1007/978-3-030-61732-5_1

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