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Electric load optimization of a nonlinear mono-stable duffing harvester excited by white noise

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Abstract

This paper investigates the electric load optimization of a nonlinear mono-stable Duffing energy harvester under white noise excitations considering symmetric and asymmetric nonlinear restoring forces. Statistical linearization is utilized to obtain approximate analytical expressions for the statistical averages including the average output power, which is then optimized with respect to the electric load. It is shown that the optimal load is dependent on the nonlinearity unless the ratio between the period of the mechanical system and the time constant of the harvesting circuit is large. Furthermore, it is demonstrated that, under optimal electric loading, a mono-stable Duffing harvester with a symmetric nonlinear restoring force can never produce higher average power levels than an equivalent linear harvester regardless of the magnitude of the nonlinearity. On the other hand, asymmetries in the restoring force are shown to provide performance improvements over an equivalent linear harvester.

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Acknowledgments

This material is based upon work supported by the National Science Foundation under CAREER Grant No. 1055419. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.

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Authors and Affiliations

  1. Nonlinear Vibrations and Energy Harvesting Laboratory (NOVEHL), Department of Mechanical Engineering, Clemson University, Clemson, SC, 29634, USA

    Qifan He & Mohammed F. Daqaq

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  1. Qifan He
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  2. Mohammed F. Daqaq
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Correspondence to Mohammed F. Daqaq.

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He, Q., Daqaq, M.F. Electric load optimization of a nonlinear mono-stable duffing harvester excited by white noise. Meccanica 51, 1027–1039 (2016). https://doi.org/10.1007/s11012-015-0289-7

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  • DOI: https://doi.org/10.1007/s11012-015-0289-7

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