Numerical analysis of a lumped parameter friction model

• ID: 2706, RIV: 10314988
• ISSN: not specified, ISBN: 978-80-85823-65-3
• source: Proceedings of the International Conference Applications of Mathematics 2015
• keywords: lumped parameter systems; nonlinear vibrations; Filippov sys-tems; Coulomb friction; impact mechanics
• authors: Vladimír Janovský
• authors from KNM: Janovský Vladimír

Abstract

We consider a contact problem of planar elastic bodies. We adopt Coulomb friction as (an implicitly defined) constitutive law. We will investigate highly simplified lumped parameter models where the contact boundary consists of just one point. In particular, we consider the relevant static and dynamic problems. We are interested in numerical solution of both problems. Even though the static and dynamic problems are qualitatively different, they can be solved by similar piecewise-smooth continuation techniques. We will discuss possible generalizations in order to tackle more complex structures.