Journal of Theoretical
and Applied Mechanics

44, 2, pp. 255-277, Warsaw 2006

Piecewise linear modeling of friction and stick-slip phenomenon in discrete dynamical systems

Dariusz Żardecki
The paper presents an idea and application of a new method of the modeling of mechanical systems with friction. This method is based on the piecewise linear $ {\rm luz} (\ldots)$ and $ {\rm tar} (\ldots)$ projections and their original mathematical apparatus. The presented models of systems with friction describe the stick-slip phenomenon in detail.
Keywords: piecewise linear projections; mathematical modeling; friction; stick-slip