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Title: Broadband energy harvesting from parametric vibrations of a class of nonlinear Mathieu systems
Authors: Alevras, Panagiotis
Theodossiades, Stephanos
Rahnejat, Homer
Keywords: Nonlinear Mathieu equation
Parametric vibrations
Broadband energy harvesting
Issue Date: 2017
Publisher: AIP Publishing (© Authors)
Citation: ALEVRAS, P., THEODOSSIADES, S. and RAHNEJAT, H., 2017. Broadband energy harvesting from parametric vibrations of a class of nonlinear Mathieu systems. Applied Physics Letters, 110, 233901.
Abstract: The nonlinear dynamics of Mathieu equation with the inclusion of a cubic stiffness component is considered for broadband vibration energy harvesting. Results of numerical integration are compared with the corresponding solution of a regular Duffing oscillator, which is widely used to model nonlinear energy harvesting. Use of Duffing oscillators has shown direct correspondence between the effective frequency range of the associated hysteretic phenomenon and the value of the nonlinearity coefficient. Due to that, a broadband energy harvester requires strong nonlinearity, especially for high frequencies of interest. This letter demonstrates that the effectiveness of parametrically-excited systems is not constrained by the same requirement. Based on this, it is suggested that parametrically-excited systems can be a robust means of broadband vibration harvesting.
Description: Copyright (2017) Author(s). This is an Open Access Article. It is published by the American Institute of Physics under the Creative Commons Attribution 4.0 Licence (CC BY). Full details of this licence are available at http://creativecommons.org/licenses/by/4.0/
Sponsor: The authors wish to express their gratitude to the Engineering and Physical Sciences Research Council (EPSRC) for the financial support extended to the “Targeted energy transfer in powertrains to reduce vibration-induced energy losses” Grant (EP/L019426/1), under which this research was carried out.
Version: Published
DOI: 10.1063/1.4984059
URI: https://dspace.lboro.ac.uk/2134/25200
Publisher Link: http://dx.doi.org/10.1063/1.4984059
ISSN: 0003-6951
Appears in Collections:Published Articles (Mechanical, Electrical and Manufacturing Engineering)

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