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Describing Function of a Simple Mechanical System with Non-linear Friction

J. A. Tenreiro Machado, Fernando Duarte
This paper studies the describing function (DF) of systems
constituted by a mass subjected to nonlinear friction. The friction
force is decomposed in two components namely, the viscous and the
Coulomb friction. 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
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