ENERGY HARVESTING THROUGH PENDULUM MOTION AND DC GENERATORS
IN THIS PAPER THE MAIN ANALYSIS FOCUS ON THE PENDULUM BEHAVIOR AND TYPES OF MOTION WHEN COUPLED TO A DC GENERATOR. A SIMPLE PENDULUM IS VERTICALLY EXCITED ON ITS SUPPORT AND CONSEQUENTLY EXHIBITING OSCILLATIONS AND ROTATIONS. THE MOTION OF THE PENDULUM SPINS THE AXIS OF A DC GENERATOR AND INDUCING A CURRENT. THE DYNAMIC MODEL INVOLVING THE GENERATOR AND THE PENDULUM DYNAMICS IS DEVELOPED AND ANALYZED IN THIS ARTICLE. BIFURCATION DIAGRAMS DEMONSTRATE DOUBLING-PERIOD AND SADDLE-NODE BIFURCATIONS WITH THE CHAOS. THE PRESENCE OF CHAOS IS VERIFIED BY THE LYAPUNOV EXPONENTS APPLIED ON THE TIME SERIES OF THE PENDULUM SPEED AND POSITION. NONIDEAL INTERACTIONS OF A DC MOTOR WITH A PENDULUM BY A CRANK-SHAFT-SLIDER MECHANISM IS ANALYZED AND COMPARED WITH A IDEAL EXCITATION OF THE PENDULUM.
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