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Potential benefits of a non-linear stiffness in an energy harvesting device

Potential benefits of a non-linear stiffness in an energy harvesting device
Potential benefits of a non-linear stiffness in an energy harvesting device
The benefits of using a non-linear stiffness in an energy harvesting device comprising a mass–spring–damper system are investigated. Analysis based on the principle of conservation of energy reveals a fundamental limit of the effectiveness of any non-linear device over a tuned linear device for such an application. Two types of non-linear stiffness are considered. The first system has a non-linear bi-stable snap-through mechanism. This mechanism has the effect of steepening the displacement response of the mass as a function of time, resulting in a higher velocity for a given input excitation. Numerical results show that more power is harvested by the mechanism if the excitation frequency is much less than the natural frequency. The other non-linear system studied has a hardening spring, which has the effect of shifting the resonance frequency. Numerical and analytical studies show that the device with a hardening spring has a larger bandwidth over which the power can be harvested due to the shift in the resonance frequency
energy harvesting, snap-through, hardening, negative stiffness
0924-090X
545-558
Ramlan, R.
476639c4-3fd5-4892-b4c8-c260be2fc768
Brennan, M.J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Mace, B.R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Kovacic, I.
0cc9489a-2da3-418d-8908-6a902809ef3b
Ramlan, R.
476639c4-3fd5-4892-b4c8-c260be2fc768
Brennan, M.J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Mace, B.R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Kovacic, I.
0cc9489a-2da3-418d-8908-6a902809ef3b

Ramlan, R., Brennan, M.J., Mace, B.R. and Kovacic, I. (2010) Potential benefits of a non-linear stiffness in an energy harvesting device. Nonlinear Dynamics, 59 (4), 545-558. (doi:10.1007/s11071-009-9561-5).

Record type: Article

Abstract

The benefits of using a non-linear stiffness in an energy harvesting device comprising a mass–spring–damper system are investigated. Analysis based on the principle of conservation of energy reveals a fundamental limit of the effectiveness of any non-linear device over a tuned linear device for such an application. Two types of non-linear stiffness are considered. The first system has a non-linear bi-stable snap-through mechanism. This mechanism has the effect of steepening the displacement response of the mass as a function of time, resulting in a higher velocity for a given input excitation. Numerical results show that more power is harvested by the mechanism if the excitation frequency is much less than the natural frequency. The other non-linear system studied has a hardening spring, which has the effect of shifting the resonance frequency. Numerical and analytical studies show that the device with a hardening spring has a larger bandwidth over which the power can be harvested due to the shift in the resonance frequency

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More information

Published date: March 2010
Keywords: energy harvesting, snap-through, hardening, negative stiffness

Identifiers

Local EPrints ID: 79136
URI: http://eprints.soton.ac.uk/id/eprint/79136
ISSN: 0924-090X
PURE UUID: f249e7e0-1aa4-4e5d-bfea-2574d8762ae4
ORCID for B.R. Mace: ORCID iD orcid.org/0000-0003-3312-4918

Catalogue record

Date deposited: 12 Mar 2010
Last modified: 14 Mar 2024 00:28

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Contributors

Author: R. Ramlan
Author: M.J. Brennan
Author: B.R. Mace ORCID iD
Author: I. Kovacic

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