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Broadband energy harvesting from parametric vibrations of a class of nonlinear Mathieu systems

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journal contribution
posted on 01.06.2017, 10:19 by Panagiotis Alevras, Stephanos Theodossiades, Homer Rahnejat
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.

Funding

This work was supported by the EPSRC [grant number EP/L019426/1].

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

Applied Physics Letters

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.

Publisher

AIP Publishing (© Authors)

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

Acceptance date

11/05/2017

Publication date

2017

Notes

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/

ISSN

0003-6951

eISSN

1077-3118

Language

en

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