Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Nonlinear dynamics of the chaotic pendulum coupled to a DC motor and a DC generator
Submission Author:
Rafael Avanço , MS
Co-Authors:
Rafael Avanço, Rodrigo Borges Santos, Clivaldo Oliveira , Mauricio A. Ribeiro, Angelo Marcelo Tusset, José Manoel Balthazar, Sanderson da Conceição
Presenter: Rafael Avanço
doi://10.26678/ABCM.COBEM2023.COB2023-0082
Abstract
The present paper focuses on the dynamics of a pendulum coupled to a DC generator and on the comparison to the parametric pendulum and a pendulum coupled to a DC motor. It is known that a DC generator is a DC motor working on its inverted function. Therefore, different conditions are analyzed duo to the purpose of energy generation. A pendulum vertically vibrated by sea waves can oscillate and rotate. These types of motion in the pendulum can spin the axis of a DC generator and consequently generate energy. The types of motion for the pendulum include stable oscillation, stable rotation, and tumbling chaos. The results with stable rotation are the most desirable, considering it will produce a sinusoidal voltage. The presence of chaos is verified by Lyapunov exponents and Poincare sections. Time histories and phase portraits demonstrate appropriately the kinds of motion obtained. Bifurcation diagrams allow to find the frontiers for the pendulum motion type. Models obtained for the different situations are based on dimensionless parameters relating mechanical and electrical values. A complete analysis of the results leads to where is the range for the amplitude and frequency of excitation that can provide energy harvest from the sea waves. In the ideal motion, we consider the amplitude as an imposed parameter and in the nonideal the displacement in the pendulum and the frequency are a consequence of the voltage set in the DC motor. In the results, where the DC generator is spined by the pendulum, the amplitude and frequency are obtained by the sea waves moving the pendulum and consequently generating energy.
Keywords
pendulum, DC Generator, DC Motor, energy harvesting
