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2021 | OriginalPaper | Chapter

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

Authors : Samir Adly, Daniel Goeleven, Rachid Oujja

Published in: Nonlinear Analysis and Global Optimization

Publisher: Springer International Publishing

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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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next chapter A Survey on Markov’s Theorem on Zeros of Orthogonal Polynomials

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Title: Friction Models in the Framework of Set-Valued and Convex Analysis
Authors: Samir Adly
Daniel Goeleven
Rachid Oujja
Publisher: Springer International Publishing
Book: Nonlinear Analysis and Global Optimization
Print ISBN: 978-3-030-61731-8

Electronic ISBN: 978-3-030-61732-5

Copyright Year: 2021
DOI: https://doi.org/10.1007/978-3-030-61732-5_1

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