Open AccessA model of the effect of dry friction on the behaviour of a dynamical system
Author(s) -
Florina-Carmen Ciornei,
Stelian Alaci,
Carmen Bujoreanu
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/997/1/012006
Subject(s) - dry friction , relative velocity , static friction , dynamical friction , relative motion , mechanics , motion (physics) , dynamical systems theory , dynamical system (definition) , classical mechanics , physics , mathematics , materials science , quantum mechanics , astrophysics , composite material
A dynamical system with one degree of freedom is modelled in two manners: the first one considers that only the dynamical sliding friction is present and the second considers the presence of both dynamic friction and static friction. It is difficult to apply the model of revealed static friction only for the zero relative velocity. For this reason, an approximate model for the static friction was identified, that accepts that the static friction occurs when the magnitude of relative velocity in contact decreases under a certain value, the critical value. The integration of the equations of motion of the two models reveals that for important values of the relative velocity, the two models estimate the same behaviour of the system. An experimental set-up was used to validate the theoretical results.