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Title: On the dynamics of a nonlinear energy harvester with multiple resonant zones
Authors: Alevras, Panagiotis
Theodossiades, Stephanos
Rahnejat, Homer
Keywords: Energy harvesting
Backbone curve
Duffing oscillator
In-well oscillations
Bi-stable dynamics
Issue Date: 2018
Publisher: Springer Verlag © The Author(s)
Citation: ALEVRAS, P., THEODOSSIADES, S. and RAHNEJAT, H., 2018. On the dynamics of a nonlinear energy harvester with multiple resonant zones. Nonlinear Dynamics, 92 (3), pp.1271–1286.
Abstract: The dynamics of a nonlinear vibration energy harvester for rotating systems is investigated analytically through harmonic balance, as well as by numerical analysis. The electromagnetic harvester is attached to a spinning shaft at constant speed. Magnetic levitation is used as the system nonlinear restoring force for broadening the resonant range of the oscillator. The system is modelled as a Duffing oscillator with linear frequency variation under static, as well as harmonic excitation. Behaviour charts and backbone curves are extracted for the fundamental harmonic response and validated against frequency response curves for selected cases, using direct numerical integration. It is found that variation in stiffness, together with asymmetric forcing gives rise to a novel structure of multiple resonant zones, incorporating mono-stable and bi-stable dynamics. Contrary to previously considered bi-stable energy harvesters, cross-well oscillations are realised through a transition from single-well potential energy to double-well with forward frequency sweep. Furthermore, in-well oscillations present a hardening behaviour, unlike the well-known softening in-well response of bi-stable Duffing oscillators. The analysis shows that the proposed system has multiple resonant responses to a frequency sweep, influenced by consecutive interacting backbone curves similar to a multimodal system. This combined effect of the transition to bi-stable dynamics and the hardening in-well oscillations induces resonant response of the harvester over multiple distinct frequency ranges. Thus, the system exhibits a broadened frequency response, enhancing its energy harvesting potential.
Description: This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 International Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/
Sponsor: This work was supported by the Engineering and Physical Sciences Research Council (EPSRC) “Targeted energy transfer in powertrains to reduce vibration-induced energy losses” Grant (EP/L019426/1).
Version: Published
DOI: 10.1007/s11071-018-4124-2
URI: https://dspace.lboro.ac.uk/2134/28467
Publisher Link: https://doi.org/10.1007/s11071-018-4124-2
ISSN: 0924-090X
Appears in Collections:Published Articles (Mechanical, Electrical and Manufacturing Engineering)

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