Fractional describing function of systems with nonlinear friction

Duarte, Fernando B.; Machado, J. A. Tenreiro

http://hdl.handle.net/10400.22/4436

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Authors

Duarte, Fernando B.

Machado, J. A. Tenreiro

Abstract(s)

This paper studies the describing function (DF) of systems consisting in a mass subjected to nonlinear friction. The friction force is composed in three components namely, the viscous, the Coulomb and the static forces. The system dynamics is analyzed in the DF perspective revealing a fractional-order behaviour. The reliability of the DF method is evaluated through the signal harmonic content and the limit cycle prediction.