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

Samir Adly (), Daniel Goeleven () and Rachid Oujja ()
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Samir Adly: Université de Limoges
Daniel Goeleven: Université de La Reunion
Rachid Oujja: Université de La Reunion

A chapter in Nonlinear Analysis and Global Optimization, 2021, pp 1-22 from Springer

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-61732-5_1

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DOI: 10.1007/978-3-030-61732-5_1

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