The numerical estimate of the effectiveness of isolation systems with
friction devices implies a correct solution of pertinent nonlinear equ
ations of motion. Nowadays, the representation of the relationship fri
ction force-displacement by an approximate rigid-perfectly plastic hys
teretic model is the most widespread technique in the numerical calcul
ations. The paper presents a comparison of this model with the recentl
y proposed velocity model of the friction force. The results are verif
ied with experimental data in order to ascertain how adequately these
two methods describe that dynamic behaviour of systems with friction d
evices. It is shown that, in the case of a hysteretic model, ''oscilla
tions'' of relative velocity difference can appear at times when the s
liding ceases. A correct condition is proposed in order to avoid this
inaccuracy of the numerical solution. The results calculated by hyster
etic and velocity models are similar and coincide well with experiment
al data, when dealing with correct solutions. A conclusion is made, th
at the velocity model, because of its simplicity, could be proposed fo
r further development and implementation. Copyright (C) 1996 Elsevier
Science Ltd