Abstract
In this paper, the model of a two-degree-of-freedom (2-DOF) spring resonator with end stopper for an energy harvesting application is presented. Then we characterize its nonlinear dynamical behavior by numerical simulations when some suitable parameters are varied. The system is formed by two resonators subject to external vibrational excitation and with an end stopper. We present the continuous time dynamical model of the system in the form of a switched fourth order differential equation. Harmonic vibrations are considered as the main ambient energy source for the system and its frequency response representing the RMS value of the displacement is first computed. The dynamical behavior is unveiled by computing state-space trajectories, time- domain series and FFT spectra and frequency response as the excitation amplitude is varied.
Highlights
Vibration-based energy harvesting is a process in which mechanical energy is transformed into electricity
This process allows the conversion of the kinetic energy from a moving body due to ambient vibrations into electrical energy through a certain electromechanical mechanism
In this work we investigate the nonlinear dynamical behavior and bifurcation phenomena of a 2-DOF mechanical resonator with an end-stopper for ambient energy harvesting applications
Summary
Vibration-based energy harvesting is a process in which mechanical energy is transformed into electricity. The most widely used are those based on electromagnetic, piezoelectric or electrostatic transducers They all have the same key element, a mechanical resonator that effectively exploits the ambient vibrations. In this work we investigate the nonlinear dynamical behavior and bifurcation phenomena of a 2-DOF mechanical resonator with an end-stopper for ambient energy harvesting applications. D is the gap between mass 2 and the end-stopper The connection between these 2 masses is not solid, and this means that the spring with stiffness k2 cannot be stretched. A viscous damping factor is used to reproduce both types of damping: b1 and b2 are of spring damping, ba and ba are of air damping
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