Abstract

The numerical estimate of the effectiveness of isolation systems with friction devices implies a correct solution of pertinent nonlinear equations of motion. Nowadays, the representation of the relationship friction force-displacement by an approximate rigid-perfectly plastic hysteretic model is the most widespread technique in the numerical calculations. The paper presents a comparison of this model with the recently proposed velocity model of the friction force. The results are verified with experimental data in order to ascertain how adequately these two methods describe that dynamic behaviour of systems with friction devices. It is shown that, in the case of a hysteretic model, “oscillations” of relative velocity difference can appear at times when the sliding ceases. A correct condition is proposed in order to avoid this inaccuracy of the numerical solution. The results calculated by hysteretic and velocity models are similar and coincide well with experimental data, when dealing with correct solutions. A conclusion is made, that the velocity model, because of its simplicity, could be proposed for further development and implementation.

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