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Energy harvesting properties of the functionally graded flexoelectric microbeam energy harvesters

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  • Qi, Lu

Abstract

Flexoelectricity may be an excellent candidate for piezoelectricity in micro and nano scaled energy harvesters due to its strong size dependency. In this paper, a size dependent analytical model of the cantilever-based functionally graded flexoelectric energy harvesters is developed. The Hamilton's principle is used to derive the governing equations. By means of the Galerkin's method, the approximated closed-form solutions of electrical output and energy conversion efficiency are obtained. For the functionally graded flexoelectric energy harvester, the effective flexoelectric response is controlled by not only the flexocoupling coefficient but also its first derivative. Numerical results of a 3 μm-thick Polyvinylidene Fluoride/Strontium Titanate composed functionally graded flexoelectric energy harvester demonstrate that when the volume fraction exponent varies from zero to infinity, the optimal working frequency gradually reduces from 41407 Hz to 7761 Hz and the optimal load resistance gradually increases from 0.99 MΩ to 83.91 MΩ. Meanwhile, shrinking the thickness from 3 μm to 0.3 μm will highly increase the normalized power density and the energy conversion efficiency about one and two orders, respectively. Moreover, when the strain gradient elastic coefficient becomes larger, the natural frequency will increase while the corresponding maximum electrical output will decrease.

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  • Qi, Lu, 2019. "Energy harvesting properties of the functionally graded flexoelectric microbeam energy harvesters," Energy, Elsevier, vol. 171(C), pages 721-730.
    • Handle: RePEc:eee:energy:v:171:y:2019:i:c:p:721-730
    DOI: 10.1016/j.energy.2019.01.047
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    References listed on IDEAS

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    1. Wong, Voon-Kean & Ho, Jee-Hou & Chai, Ai-Bao, 2017. "Performance of a piezoelectric energy harvester in actual rain," Energy, Elsevier, vol. 124(C), pages 364-371.
    2. Viet, N.V. & Xie, X.D. & Liew, K.M. & Banthia, N. & Wang, Q., 2016. "Energy harvesting from ocean waves by a floating energy harvester," Energy, Elsevier, vol. 112(C), pages 1219-1226.
    3. Wang, Wei & Cao, Junyi & Bowen, Chris R. & Zhou, Shengxi & Lin, Jing, 2017. "Optimum resistance analysis and experimental verification of nonlinear piezoelectric energy harvesting from human motions," Energy, Elsevier, vol. 118(C), pages 221-230.
    4. Xie, X.D. & Wang, Q. & Wang, S.J., 2015. "Energy harvesting from high-rise buildings by a piezoelectric harvester device," Energy, Elsevier, vol. 93(P2), pages 1345-1352.
    5. Azizi, Saber & Ghodsi, Ali & Jafari, Hamid & Ghazavi, Mohammad Reza, 2016. "A conceptual study on the dynamics of a piezoelectric MEMS (Micro Electro Mechanical System) energy harvester," Energy, Elsevier, vol. 96(C), pages 495-506.
    6. Zhou, Zhiyong & Qin, Weiyang & Zhu, Pei, 2017. "Harvesting acoustic energy by coherence resonance of a bi-stable piezoelectric harvester," Energy, Elsevier, vol. 126(C), pages 527-534.
    7. Jasim, Abbas & Wang, Hao & Yesner, Greg & Safari, Ahmad & Maher, Ali, 2017. "Optimized design of layered bridge transducer for piezoelectric energy harvesting from roadway," Energy, Elsevier, vol. 141(C), pages 1133-1145.
    8. Ilyas, Mohammad Adnan & Swingler, Jonathan, 2017. "Towards a prototype module for piezoelectric energy harvesting from raindrop impacts," Energy, Elsevier, vol. 125(C), pages 716-725.
    9. Kan, Junwu & Fu, Jiawei & Wang, Shuyun & Zhang, Zhonghua & Chen, Song & Yang, Can, 2017. "Study on a piezo-disk energy harvester excited by rotary magnets," Energy, Elsevier, vol. 122(C), pages 62-69.
    10. Wang, K.F. & Wang, B.L., 2018. "Energy gathering performance of micro/nanoscale circular energy harvesters based on flexoelectric effect," Energy, Elsevier, vol. 149(C), pages 597-606.
    11. Wei, Chongfeng & Jing, Xingjian, 2017. "A comprehensive review on vibration energy harvesting: Modelling and realization," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 1-18.
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    1. Ghodsi, Ali & Jafari, Hamid & Azizi, Saber & Ghazavi, Mohammad Reza, 2020. "On the dynamics of a novel energy harvester to convert the energy of the magnetic noise into electrical power," Energy, Elsevier, vol. 207(C).
    2. Wang, K.F. & Wang, B.L. & Li, J.E., 2020. "Electromechanical model of layered flexoelectric energy harvesters with strain gradient effect," Energy, Elsevier, vol. 191(C).

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