Authors: | Hedrih, Katica (Stevanović) | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Vibrations of a heavy mass particle moving along a rough line with friction of coulomb type | Journal: | International Journal of Nonlinear Sciences and Numerical Simulation | Volume: | 11 | Issue: | 3 | First page: | 203 | Last page: | 210 | Issue Date: | 1-Mar-2010 | Rank: | M21a | ISSN: | 1565-1339 | Abstract: | Vibrations, mechanical energy, constraint reactions and power of reactive forces of a heavy mass particle moving along a rough curvilinear path with Coulomb-type friction are considered. A mathematical description is presented in a natural coordinate system of the corresponding line. Analytical expressions of kinetic, potential and total energies of the mass particle motion, as well as analytical expressions of the Coulomb type friction force are obtained. |
Keywords: | Analytical expressions | Circle | Coulomb type friction | Cycloid line | Energy | Heavy mass particle | Non conservative system | Nonlinear dynamics | Phase plane method | Phase trajectory | Power | Reaction force | Rough curvilinear path | Project: | Theoretical and Applied Mechanics of the Rigid and Solid Bodies. Mechanics of Materials |
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