The dynamics of a body with an axisymmetric base sliding on a rough plane. (English) Zbl 1353.70038
Summary: In this paper we investigate the dynamics of a body with a flat base sliding on a horizontal and inclined rough plane under the assumption of linear pressure distribution of the body on the plane as the simplest dynamically consistent friction model. For analysis we use the descriptive function method similar to the methods used in the problems of Hamiltonian dynamics with one degree of freedom and allowing a qualitative analysis of the system to be made without explicit integration of equations of motion. In addition, we give a systematic review of the well-known experimental and theoretical results in this area.
MSC:
| 70F40 | Problems involving a system of particles with friction |
| 70F35 | Collision of rigid or pseudo-rigid bodies |
| 70E18 | Motion of a rigid body in contact with a solid surface |
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