Nonlinear Dynamics

, 56:381

Fractional describing function of systems with Coulomb friction

Original Paper

DOI: 10.1007/s11071-008-9405-8

Cite this article as:
Duarte, F.B. & Tenreiro Machado, J. Nonlinear Dyn (2009) 56: 381. doi:10.1007/s11071-008-9405-8


This paper studies the describing function (DF) of systems constituted by a mass subjected to nonlinear friction. The friction force is decomposed into two components, namely, the viscous and the Coulomb friction. The system dynamics is analyzed in the DF perspective revealing a fractional-order behavior. The reliability of the DF method is evaluated through the signal harmonic contents.


Describing functionFrictionControlModeling

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Department of MathematicsSchool of TechnologyViseuPortugal
  2. 2.Department of Electrotechnical EngineeringInstitute of EngineeringPortoPortugal