Energy Analysis of Vibro-Impact System Dynamics Based on a Heavy Mass Particle Free Oscillations Along Curvilinear Rough Trajectories

 

 

This work is based on the motion analysis of vibro-impact systems moving freely along non-ideal lines-rough curvilinear paths in a vertical plane in the shapes of parabola, cycloid and circle. The non-ideal character of the relation is due to the Coulomb’s type friction force with the coefficient μ=tgα◦. The oscillator is composed by one heavy mass particle (the observed systems have one degree of freedom of motion) whose free motion was limited by one or two elongation fixed limiters. The analytical-numerical results for certain kinetic parameters of the observed vibro-impact systems are a basis for the visualization of the motion analysis and energy analysis, which are the subject of this analytical research. In this paper the methodology of the energy transfer investigation among the elements of the observed vibro-impact system is presented.

Key words: vibro-impact system, vibro-impact dynamics, impact effect, free oscillations, process dynamics, dynamic analysis, rough surface, singular point, kinetic energy, potential energy.