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Hierarchical model calibration for designing piezoelectric energy harvester in the presence of variability in material properties and geometry

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Abstract

Piezoelectric energy harvesting which scavenges electric power from ambient vibration energy has received significant attention as an ultimate solution to realize self-powered wireless sensors. For designing a piezoelectric energy harvester, it is of great importance to develop a high-fidelity electromechanical model which predicts the output power under various vibration conditions. To the best of our knowledge, however, there has been no systematic approach to account for variability in the material properties and geometry of a piezoelectric energy harvester. This paper thus presents (1) the hierarchical model calibration to improve the predictive capability of the electromechanical model and (2) the design of energy harvesting (EH) skin to maximize the output power to reliably operate self-powered wireless sensors. In this study, the hierarchical model calibration infers statistical information of unknown model variables (compliance, piezoelectric strain coefficient, and relative permittivity). The calibrated electromechanical model is then used to design EH skin based on the piezoelectric material segmentation to avoid voltage cancellation. The output power predicted by the calibrated electromechanical model is statistically compared with the measured one. Finally, it is concluded from the feasibility demonstration that EH skin can sufficiently generate the output power to realize self-powered wireless sensors without batteries.

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Abbreviations

S ij :

Strain

T kl :

Stress

E k :

Electric field

D i :

Electric displacement

s E ijkl :

Compliance of PZT

d kij :

Piezoelectric strain coefficient

ε T ik :

Relative permittivity at constant stress

E brass :

Young’s modulus of brass

ρ PZT :

Density of PZT

ρ brass :

Density of brass

T PZT :

Thickness of PZT

T brass :

Thickness of brass

ζ :

Mechanical damping ratio

Δω :

Half-power bandwidth

ω n :

Natural frequency

θ :

Calibration parameter vector

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Acknowledgments

This work was supported by research projects of Korea Institute of Machinery and Materials (Project Codes: NK192F and SC1110) funded by the National Research Council of Science and Technology, and the Mid-career Researcher Program through the National Research Foundation of Korea (NRF) grant funded by the Ministry of Science ICT and Future Planning (MSIP) (2013R1A2A2A01068627). This work was also supported by a grant from the Institute of Advanced Machinery and Design at Seoul National University (SNU-IAMD). Furthermore, we would like to express our sincere appreciation to Prof. Yoon Young Kim at Seoul National University and Mr. Hansol Yoon for assisting feasibility demonstration of EH skin.

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Authors and Affiliations

  1. Department of System Dynamics, Korea Institute of Machinery and Materials, Daejeon, 305-343, Republic of Korea

    Byung C. Jung & Young Chul Huh

  2. Department of Mechanical and Aerospace Engineering, Seoul National University, Seoul, 151-742, Republic of Korea

    Heonjun Yoon, Hyunseok Oh, Guesuk Lee, Minji Yoo & Byeng D. Youn

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  1. Byung C. Jung
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  2. Heonjun Yoon
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  3. Hyunseok Oh
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  4. Guesuk Lee
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  5. Minji Yoo
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  6. Byeng D. Youn
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  7. Young Chul Huh
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Correspondence to Byeng D. Youn.

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Jung, B.C., Yoon, H., Oh, H. et al. Hierarchical model calibration for designing piezoelectric energy harvester in the presence of variability in material properties and geometry. Struct Multidisc Optim 53, 161–173 (2016). https://doi.org/10.1007/s00158-015-1310-4

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