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Energy absorption at synchronization in phase between coupled Duffing systems

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Abstract

The goal of energy harvesting field is to produce electric power from ambient broadband forcing. While there have been various proposals to use nonlinear effects to broaden the frequency range of energy absorption, it has not yet been clarified how to design the nonlinearity for the most efficient operation. This paper shows a possibility of energy harvesting from a multi-frequency force using a system of coupled Duffing oscillators. Using this example, we perform detailed numerical studies to illustrate that the energy absorption increases when the harvester’s velocity becomes maximum during phase synchronization between the two oscillators. We also compare the energy absorption between that system and a resonant mass-spring system. We show that for the devices base on coupled resonators, the performance can be optimized by choosing a system with the optimal path in the phase difference/velocity plane. This criteria opens a possibility to design the nonlinear characteristics of the energy harvesting devices.

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Acknowledgments

TH and MK’s research was partially supported by the Global COE program of Kyoto University and the JSPS KAKENHI (Grant-in-Aid Challenging Exploratory Research) #26630176. VP was partially supported by NSERC Discovery grant and the University of Alberta. MK also thanks Prof. G. James (INRIA) for stimulating discussions.

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Authors and Affiliations

  1. Department of Electrical Engineering, Kyoto University, Katsura, Kyoto, 615-8510, Japan

    Madoka Kubota & Takashi Hikihara

  2. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada

    Vakhtang Putkaradze

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  1. Madoka Kubota
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  2. Vakhtang Putkaradze
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  3. Takashi Hikihara
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Correspondence to Madoka Kubota.

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Kubota, M., Putkaradze, V. & Hikihara, T. Energy absorption at synchronization in phase between coupled Duffing systems. Int. J. Dynam. Control 3, 189–194 (2015). https://doi.org/10.1007/s40435-014-0124-3

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  • DOI: https://doi.org/10.1007/s40435-014-0124-3

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