On Nonlinear Dynamics Of A Nonideal Magnetic System With Shape Memory Alloy To Energy Harvesting Using Uncertainty Exponent And Entropy Of Basin Of Attractions Approaches

TL;DR

This paper analyzes the nonlinear dynamics of a magnetic system with shape memory alloy for energy harvesting, focusing on fractal basin behavior, chaos, and power output optimization.

Contribution

It introduces a nonlinear model considering a shape memory alloy and non-ideal motor, analyzing fractal basin structures and energy harvesting potential.

Findings

Fractal basin boundaries indicate complex dynamic behavior.

Identified chaotic and periodic regions in the system.

Maximized energy output at specific parameter regions.

Abstract

In this paper, we dealt the dynamic behavior of a magnetic structure, considering a shape memory spring and a non-ideal motor as excitation. It has fractal behavior of tits basins of attraction, for a set of parameters for energy harvesting. We also considered a set of initial conditions and performed the nonlinear dynamics analysis of the dimensionless mathematical model, and then established their chaotic and periodic regions. We also established the regions of maximum and minimum average power output, which was generated by the vibrations, caused by the considered non-ideal motor.