Sliding and crossing dynamics in extended filippov systems

Mate Antali, G. Stépán

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In spatial contact problems of rigid bodies, Coulomb friction results in dynamical systems with codimension-2 discontinuity manifolds, which are outside the scope of piecewise smooth dynamical systems. This motivated the authors to extend Filippov systems to codimension-2 discontinuity manifolds, which leads to the definition of extended Filippov systems. In these systems, sliding and crossing regions can be defined analogously to those of standard Filippov systems. A convex construction of the sliding vector is also presented in the paper. The developed methods are demonstrated on mechanical problems with spatial Coulomb friction.

Original languageEnglish
Pages (from-to)823-858
Number of pages36
JournalSIAM Journal on Applied Dynamical Systems
Volume17
Issue number1
DOIs
Publication statusPublished - Jan 1 2018

Fingerprint

Dynamical systems
Friction
Coulomb Friction
Codimension
Discontinuity
Dynamical system
Contact Problem
Rigid Body

Keywords

  • Codimension
  • Discontinuous
  • Filippov system
  • Nonsmooth
  • Sliding

ASJC Scopus subject areas

  • Analysis
  • Modelling and Simulation

Cite this

Sliding and crossing dynamics in extended filippov systems. / Antali, Mate; Stépán, G.

In: SIAM Journal on Applied Dynamical Systems, Vol. 17, No. 1, 01.01.2018, p. 823-858.

Research output: Contribution to journalArticle

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