Previous |  Up |  Next


Title: Numerical analysis of a lumped parameter friction model (English)
Author: Janovský, Vladimír
Language: English
Journal: Application of Mathematics 2015
Volume: Proceedings. Prague, November 18-21, 2015
Issue: 2015
Pages: 63-76
Category: math
Summary: 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. (English)
Keyword: lumped parameter systems
Keyword: nonlinear vibrations
Keyword: Filippov systems
Keyword: Coulomb friction
Keyword: impact mechanics
MSC: 37M05
MSC: 65P40
MSC: 74H15
idZBL: Zbl 06669919
Date available: 2017-02-14T10:22:38Z
Last updated: 2017-03-20
Stable URL:


Files Size Format View
ApplMath_03-2015-1_9.pdf 1.287Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo