Systems with a single degree of freedom and a single frictional pair

Abstract

For the above class of systems the following problems will be considered:

• derivation of the equation for the normal reaction force in the frictional pair, as well as the differential equation of motion with the removed reaction force;

• determination of the criterion of absence and non-uniqueness of solution for dynamical problem (criterion for Painlevé’s paradoxes);

• derivation of the condition for rest and the condition for transition to slip with and without paradox;

• generalization of the concept of self-braking and the frictional cone to the case of systems of particles.