The influence of the inductance on the nonideal vibrations of a pendulum coupled to a DC motor
Résumé
The present analysis focuses on the dynamics of a pendulum vertically vibrated by a DC motor. The pendulum moved on the support by vertical harmonic displacement is extensively studied in the literature because of different types of motion including chaos. When the pendulum is vibrated by a DC motor the system is considered non-ideal and it is common a synchronization in frequency between the pendulum and the motor, where the pendulum exhibits either oscillation or rotation. The analysis in the present text varied the value of the in- ductance from zero to 1 million times the value of a real motor, but the basins of attraction with rotation and oscillation nearly maintained its features. The influence of the inductance has a major effect while the motor accelerates, which could cause an uncertain during the cap- ture by a coexisting attractor. However, the results demonstrated the influence of inductance in this configuration is minimum.