Authors: | Hedrih, Katica (Stevanović) Raičević, Vladimir Jović, Srđan |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Vibro-impact of a heavy mass particle moving along a rough circle with two impact limiters | Journal: | International Journal of Nonlinear Sciences and Numerical Simulation | Volume: | 11 | Issue: | 3 | First page: | 211 | Last page: | 224 | Issue Date: | 1-Mar-2010 | Rank: | M21a | ISSN: | 1565-1339 | Abstract: | The paper presents analytical results and some visualizations of the non-linear dynamics of a vibroimpact system with one degree of freedom and moving impact limiters. Mechanical energy of a heavy mass particle oscillation along a rough circle in vertical plane is object of this analytical research. The corresponding ordinary non-linear differential equations of dynamic equilibrium states and phase trajectory branches are derived. A corresponding control of the impact limiters is presented as a program of the impact conditions of the system, and analytical and graphical analyses of the kinetic, potential and total mechanical energy of the corresponding vibro-impact system, and the friction force power as well are given, finally a visualization of the vibro-impact oscillations is presented. © Freund Publishing House Ltd. |
Keywords: | Analytical expression | Friction | Graphical presentation | Heavy mass particle | Kinetic and potential energy | Large initial conditions | Phase trajectory | Representative point | Rough circle | Singular points | Total energy | Two impact limiters | Vibro-impact | Publisher: | de Gruyter | Project: | Theoretical and Applied Mechanics of the Rigid and Solid Bodies. Mechanics of Materials |
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