Dynamic Analysis of Resonance: Bifurcation Characteristics of Non-linear Parametric Systems

Abstract

The dynamic analysis is an important part of basic research of complex planetary transmission systems with split power flow. The bifurcation characteristics of the resonance courses especially for high-speed weakly and strongly non-linear parametric and in the damping time-heteronymous systems are highly sensitive to their parameters, i.e. to the quality and quantity of their bifurcation features and ambiguities. In the case of mass discretization, their analytical—numerical solution leads to complex integro-differential equations with solving kernels in the form of Green’s resolventes and complex simulation models in MATLAB/Simulink. The case of one branch of the planetary transmission system with six degrees of freedom is analysed in terms of internal dynamics in this paper, i.e. the causes of the quantity and quality of resonance bifurcation curves and formation of ambiguity characteristics of relative motion in gear meshes.