Abstract
Painlevé [1] in his book Lectures on Friction showed that the addition of dry friction forces does not alter the stability of equilibrium states of mechanical systems, for which the potential energy at the equilibrium state has an isolated minimum. In [2] and [3] a problem of stability of stationary motions of some particular mechanical systems with dry friction has been investigated: Some properties of the system were determined such that the addtion of the dry friction forces not affect the stability of the motion, provided that the systems are stable when subjected to the action of potential forces only. In [2] and [3], however, only such frictional forces are considered which appear during the sliding of the surfaces and which result in constant moments ± B, independent from the normal forces (the forces are acting in the opposite direction to the relative sliding velocity). Such a model of dry friction, obviously, differs from the classical Coulomb model. It may, however, serve as a step toward the study of the problem in its classical formulation. The present paper is devoted to such a study.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call