Abstract:
A new dynamic two-dimensional friction model is developed which is
based on the bristle theory. Actually it is the Reset Integrator Model converted into a
two-dimensional space. Usually two-dimensional friction models are indeed onedimensional
models which are rotated into the slip velocity direction. However, this
often used approach cannot be applied to the bristle model. That is why an idea of a
two-dimensional bristle is presented. Bristle’s deformation is described using polar
coordinates. The carried out numerical simulation of a planar oscillator has proved
that the new model correctly captures the mechanism of smoothing dry friction by
dither applied via perpendicular and co-linear way regarding the body velocity. Furthermore, the introduced mathematical model captures two-dimensional stick-slip behaviour. The Cartesian slip velocity components are the only inputs to the model. In
addition, our proposed model allows to describe a friction anisotropy using the bristle
parameters. The paper contains results of an experimental verification of the new friction
model conducted on the special laboratory rig being used to investigate the two dimensional motion in the presence of dither as well as to validate our numerical results.
