Numerical analysis of a lumped parameter friction model

Janovský, Vladimír

  • Application of Mathematics 2015, Publisher: Institute of Mathematics CAS(Prague), page 63-76

Abstract

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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.

How to cite

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Janovský, Vladimír. "Numerical analysis of a lumped parameter friction model." Application of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015. 63-76. <http://eudml.org/doc/287860>.

@inProceedings{Janovský2015,
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.},
author = {Janovský, Vladimír},
booktitle = {Application of Mathematics 2015},
keywords = {lumped parameter systems; nonlinear vibrations; Filippov systems; Coulomb friction; impact mechanics},
location = {Prague},
pages = {63-76},
publisher = {Institute of Mathematics CAS},
title = {Numerical analysis of a lumped parameter friction model},
url = {http://eudml.org/doc/287860},
year = {2015},
}

TY - CLSWK
AU - Janovský, Vladimír
TI - Numerical analysis of a lumped parameter friction model
T2 - Application of Mathematics 2015
PY - 2015
CY - Prague
PB - Institute of Mathematics CAS
SP - 63
EP - 76
AB - 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.
KW - lumped parameter systems; nonlinear vibrations; Filippov systems; Coulomb friction; impact mechanics
UR - http://eudml.org/doc/287860
ER -

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