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Mechanical modelling of a vibration energy harvester with time-varying stiffness

Mechanical modelling of a vibration energy harvester with time-varying stiffness
Mechanical modelling of a vibration energy harvester with time-varying stiffness
In this paper, the problem of energy harvesting with a parametric harvester is presented. A single degree-offreedom
(SDOF) mechanical oscillator with time-varying stiffness subject to a harmonic base excitation is considered as a
parametric harvester. A periodic time-varying stiffness is introduced to the harvester in order to generate parametric resonance. The performance of the harvester is analysed with and without the periodic stiffness coefficients. Relative displacement and the average harvested power are obtained both numerically and analytically. It is demonstrated that a small excitation can produce a large response when the system is parametrically excited with a frequency near to twice of its fundamental frequency. This enhancement of the displacement response results in an increase in the harvested energy. This response is higher when the base excitation frequency and the harvester fundamental frequency are equal. Also, it is possible to tune the parametric harvester to have parametric frequencies twice of the base excitation frequencies in order to increase the frequency bandwidth. The optimum parametric stiffness, parametric frequency and base excitation frequency are obtained to maximise the peak power.
parametrically excited, energy harvesting, damped mathieu equation, base excited
Zaghari, B.
a0537db6-0dce-49a2-8103-0f4599ab5f6a
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44
Rustighi, E.
9544ced4-5057-4491-a45c-643873dfed96
Zaghari, B.
a0537db6-0dce-49a2-8103-0f4599ab5f6a
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44
Rustighi, E.
9544ced4-5057-4491-a45c-643873dfed96

Zaghari, B., Ghandchi Tehrani, Maryam and Rustighi, E. (2014) Mechanical modelling of a vibration energy harvester with time-varying stiffness. EURODYN 2014: 9th International Conference on Structural Dynamics. 30 Jun - 02 Jul 2014. 8 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

In this paper, the problem of energy harvesting with a parametric harvester is presented. A single degree-offreedom
(SDOF) mechanical oscillator with time-varying stiffness subject to a harmonic base excitation is considered as a
parametric harvester. A periodic time-varying stiffness is introduced to the harvester in order to generate parametric resonance. The performance of the harvester is analysed with and without the periodic stiffness coefficients. Relative displacement and the average harvested power are obtained both numerically and analytically. It is demonstrated that a small excitation can produce a large response when the system is parametrically excited with a frequency near to twice of its fundamental frequency. This enhancement of the displacement response results in an increase in the harvested energy. This response is higher when the base excitation frequency and the harvester fundamental frequency are equal. Also, it is possible to tune the parametric harvester to have parametric frequencies twice of the base excitation frequencies in order to increase the frequency bandwidth. The optimum parametric stiffness, parametric frequency and base excitation frequency are obtained to maximise the peak power.

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More information

e-pub ahead of print date: 2014
Venue - Dates: EURODYN 2014: 9th International Conference on Structural Dynamics, 2014-06-30 - 2014-07-02
Keywords: parametrically excited, energy harvesting, damped mathieu equation, base excited
Organisations: Mathematical Sciences, Inst. Sound & Vibration Research

Identifiers

Local EPrints ID: 366807
URI: https://eprints.soton.ac.uk/id/eprint/366807
PURE UUID: 1e406d05-fa06-46de-8f82-75b5614bc87a
ORCID for E. Rustighi: ORCID iD orcid.org/0000-0001-9871-7795

Catalogue record

Date deposited: 10 Jul 2014 13:11
Last modified: 06 Jun 2018 12:43

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