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To the analytical dynamic analysis of non-linear parametric systems with gears
Hortel, Milan ; Škuderová, Alena
In contrast to the mathematical methods of solution of the linear dynamic problems are the analytical solution methods and the analysis of non-linear at that the analysis of the time heteronymous, i.e. parametrical, problems more complicated and difficult. In these systems can occur the various dynamic behaviour, where appear, in the certain sensible areas of the tuning, the new often unexpected phenomena, such as the patterns of the solution ambiguity, the bifurcation and the splitting of the resonance characteristics, the change over the regular motions into the irregular, up to the motions with deterministic chaotic character etc. The above mentioned and the another phenomena can occur at the more precise physical modelling in the category of the high-parametrical, i.e. in the light high-speed structures, for example in the aeronautical propjets, where today the revolutions of the driving turbines are reaching the 80000 rpm. For the analysis of the mentioned phenomena of the relativ
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