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

In: Nonlinear Analysis and Global Optimization

Author

Listed:
  • Samir Adly

    (Université de Limoges)

  • Daniel Goeleven

    (Université de La Reunion)

  • Rachid Oujja

    (Université de La Reunion)

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.

Suggested Citation

  • Samir Adly & Daniel Goeleven & Rachid Oujja, 2021. "Friction Models in the Framework of Set-Valued and Convex Analysis," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Panos M. Pardalos (ed.), Nonlinear Analysis and Global Optimization, pages 1-22, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-61732-5_1
    DOI: 10.1007/978-3-030-61732-5_1
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