Abstract
This paper aims to focus on the design and analysis of a novel ring-based mono-stable energy-harvesting device that is considered as an alternative to the beam and tube models used thus far. The highly sensitive ring second flexural mode, when combined with the nonlinear external magnetic force, results in an ideal combination that yields increased frequency range, and can be considered as novel in the field of vibration-based energy harvesters. A mathematical model for the ring structure, as well as a model to generate nonlinear magnetic force that acts on the ring structure, is formulated. The discretized form of the governing equations is shown to represent a Duffing oscillator in the presence of an external magnetic field. The forms of the system potential energy, as well as the restoring force, are examined to ensure that the mono-stable behavior exists in the proposed model. Numerical predictions of time response, frequency response, phase diagram, and bifurcations map when the system is subjected to ambient harmonic excitation, have been performed for the purposes of gaining an insight into the dynamics and power generation of this new class of harvesters.
Highlights
The exploitation of nonlinear dynamic system phenomena in the design of vibration-based harvesters has recently received much attention
The dynamic behavior of the ring harvester has been investigated via numerical simulations
Equations of motion that govern the dynamic behavior of a macro-scale ring harvester employing the second mode with a nonlinear magnetic force in the presence of harmonic ambient forces are derived
Summary
The exploitation of nonlinear dynamic system phenomena in the design of vibration-based harvesters has recently received much attention. The present study focusses on the interaction of nonlinear magnetic forces that act on a flexible ring structure. An investigation into the performance of such a novel design, namely the mono-stable ring structure with nonlinear magnetic force, has been demonstrated via numerical simulations. Several studies have described the behavior of mono-stable and bi-stable type nonlinear vibration energy harvesters; few studies compared their performance relative to one another. Daqaq et al [5] provided a basic electromechanical model of a beam that can be used to build a quantitative understanding of nonlinear vibration energy harvester and they found that output voltage depends on the magnitude of base acceleration and the shape of the potential well. Stanton et al [6] showed how magnetic levitation could be used to extend device bandwidth through a hardening frequency response
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