The benefits of Duffing-type nonlinearities and electrical optimisation of a mono-stable energy harvester under white Gaussian excitations

This work is concerned with the performance of a single degree of freedom electromagnetic energy harvester when subjected to a broadband white noise base acceleration. First, using the Fokker–Planck–Kolmogorov equation, it is shown that Duffing-type nonlinearities can be used to reduce the size of e...

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Bibliographic Details
Published in:Journal of sound and vibration 2012-09, Vol.331 (20), p.4504-4517
Main Authors: Green, P.L., Worden, K., Atallah, K., Sims, N.D.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
General equipment and techniques
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Physics
Solid mechanics
Structural and continuum mechanics
Transducers
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:This work is concerned with the performance of a single degree of freedom electromagnetic energy harvester when subjected to a broadband white noise base acceleration. First, using the Fokker–Planck–Kolmogorov equation, it is shown that Duffing-type nonlinearities can be used to reduce the size of energy harvesting devices without affecting their power output. This is then verified using the technique of Equivalent Linearisation. Second, it is shown analytically that the optimum load resistance of the device is different to that which is dictated by the principle of impedance matching. This result is then verified experimentally.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2012.04.035