Chaotic interactions in a pendulum-energy source system

Remarks on the Passage Through Resonance of a Vibrating System With Two Degrees of Freedom, Excited by a Non-Ideal Energy Source

“…The relation between the torque generated by the motor and the angular velocity of the rotor is determined by the dynamic characteristics of the motor. This problem was proposed before in reference [13]. In reference [14] the authors analyzed possible slip}stick motions of the non-ideal, self-excitation problem.…”

On nonlinear dynamics behavior of an electro-mechanical pendulum excited by a nonideal motor and a chaos control taking into account parametric errors

“…The idea in those analyses performed was to consider the effect of ''feedback'' present in mechanisms with limited power supply. In Krasnopolskaya and Shvets [5], they verified that some regions of chaotic motion occur only under the consideration of the limited power supply, not being observed when the ideal excitation is present. These analyses in [5] were performed considering the crank-slider movement approximated to a harmonic displacement, while the intention in the present analysis is to consider the complexity of a real crank-slider in the modeling.…”

“…A dynamic analysis of a pendulum vertically excited by a crank-shaft-slider mechanism was performed in Avanço et al [4]. In the current literature, the motion of the slider is commonly approached to a harmonic displacement as it was carried out in Krasnopolskaya and Shvets [5], where the chaotic behavior of a nonlinear system was verified. The dynamic equation in Avanço et al [4] considered, in the modeling, the complexity of the crank-shaft-slider in the motion on the pivot of support of the pendulum.…”

“…In Kransnopolskaya and Shvets [5] and Belato et al [12,13], it was analyzed the mechanism represented in Fig. 1, where a crank-slider mechanism powered by a DC motor moves horizontally the point of suspension of a pendulum.…”