Mathematical modelling of dynamic systems with two degrees of mobility and their solution

2026

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DOI 10.47533/2026.1606-146x.3-18
Data confidence 70 medium
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Abstract

Due to the dynamic properties of the system itself, the self-synchronisation effect has traditionally been used in mechanical engineering to synchronise the operation of vibration exciters mounted on a working body. Besides this, there is another wide technical application of self-synchronising effect in vibrating technology. It concerns the possibility of connecting separate resonant vibrators into a single system performing periodic oscillations. At creation of heavy resonant vibratory machines of technological purpose such a problem is very actual. In case of its positive decision, the possibility of rapid change and, in particular, of increasing the size of the working bodies of resonant vibrators, and also of moving to their division, appears. The work is aimed at finding new ways of exploiting the self-synchronising effect in dynamic systems of technological purpose for increase of their work efficiency and in some cases transition to their sectional design. This research aims to investigate how self-synchronising effects of nonlinear dynamic systems can be detected when they are tuned to resonance.