Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System

This article aims to explore the oscillatory characteristics of a controlled asymmetric rotor system when subjected rub and impact forces between stator. Four electromagnetic poles are used control whirling motion through linear proportional-derivative law. The equations that govern whole dynamics derived including forces. mathematical model is analyzed in two basic steps. Firstly, obtained treated as weakly nonlinear using perturbation analysis obtain slow-flow modulating neglecting Depending on equations, different response curves plotted system’s periodic vibrations determine conditions at which can exhibit force. Secondly, investigated by bifurcation diagrams, Poincare map, frequency spectrums, temporal oscillations. results revealed applied law could mitigate oscillations prevent if gains tuned properly. However, perform period-n, quasiperiodic, or chaotic depending shaft spinning speed controller fails eliminate contact