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
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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