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

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Broadband energy harvesting from parametric vibrations of a class of nonlinear Mathieu systems. / Alevras, Panagiotis; Theodossiades, Stephanos; Rahnejat, Homer.

In: Applied Physics Letters, Vol. 110, No. 23, 233901, 05.06.2017.

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@article{8fce48aa9974484b8a48ba97331bcc84,
title = "Broadband energy harvesting from parametric vibrations of a class of nonlinear Mathieu systems",
abstract = "The nonlinear dynamics of the Mathieu equation with the inclusion of a cubic stiffness component is considered for broadband vibration energy harvesting. The results of numerical integration are compared with the corresponding solution of a regular Duffing oscillator which is widely used to model nonlinear energy harvesting. The 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. 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.",
author = "Panagiotis Alevras and Stephanos Theodossiades and Homer Rahnejat",
year = "2017",
month = jun,
day = "5",
doi = "10.1063/1.4984059",
language = "English",
volume = "110",
journal = "Applied Physics Letters",
issn = "0003-6951",
publisher = "American Institute of Physics",
number = "23",

}

RIS

TY - JOUR

T1 - Broadband energy harvesting from parametric vibrations of a class of nonlinear Mathieu systems

AU - Alevras, Panagiotis

AU - Theodossiades, Stephanos

AU - Rahnejat, Homer

PY - 2017/6/5

Y1 - 2017/6/5

N2 - The nonlinear dynamics of the Mathieu equation with the inclusion of a cubic stiffness component is considered for broadband vibration energy harvesting. The results of numerical integration are compared with the corresponding solution of a regular Duffing oscillator which is widely used to model nonlinear energy harvesting. The 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. 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.

AB - The nonlinear dynamics of the Mathieu equation with the inclusion of a cubic stiffness component is considered for broadband vibration energy harvesting. The results of numerical integration are compared with the corresponding solution of a regular Duffing oscillator which is widely used to model nonlinear energy harvesting. The 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. 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.

UR - http://www.scopus.com/inward/record.url?scp=85020303839&partnerID=8YFLogxK

U2 - 10.1063/1.4984059

DO - 10.1063/1.4984059

M3 - Article

AN - SCOPUS:85020303839

VL - 110

JO - Applied Physics Letters

JF - Applied Physics Letters

SN - 0003-6951

IS - 23

M1 - 233901

ER -