Models of Technological Processes on the Basis of Vibro-impact Dynamics

 

Katica Stevanović – Herdih

Srđan Jović

 

The paper presents the series of the models of technological processes on the basis of vibro-impact dynamics for typical technical machines and systems. The analysis of the vibro-impact motions for the operation of some machines is shown for some specific examples, for which dynamic models are made. The given examples for the abstraction into characteristic vibro-impact models of real systems are: vibro-impact hammer, hand strike - rotary hammer, printer and vibro-rammer (mechanical vibrator). For each of the listed models of characteristic vibro-impact systems there are differential equations derived, representing the vibro-impact process dynamics followed by the appropriate initial and impact conditions and the conditions of elongation restrictions as well. The specifics vibro-impact dynamics for different properties of standard light elements (linear, nonlinear elasticity, high-elasticity, hereditary and creeping properties) included in the basic dynamic oscillator model is investigated. The basics of the energy transfer between the elements of the vibro-impact system analysis are presented. For some typical cases, the phase portraits and the energy curves are shown, representing the original results of the authors.

Key words: impact, impact effect, vibrations, vibro-impact dynamics, process dynamics, differential equations.