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Research Papers

Optimal Locations of Piezoelectric Patch on Wideband Random Point-Driven Beam for Energy Harvesting

[+] Author and Article Information
Xiaole Luan

State Key Laboratory of Fluid Power
and Mechatronic Systems,
Department of Engineering Mechanics,
Zhejiang University,
No. 38 Zheda Road,
Hangzhou 310027, Zhejiang, China
e-mail: xiaole.luan@foxmail.com

Yong Wang

State Key Laboratory of Fluid Power and
Mechatronic Systems,
Department of Engineering Mechanics,
Zhejiang University,
No. 38 Zheda Road,
Hangzhou 310027, Zhejiang, China
e-mail: ypwang@zju.edu.cn

Xiaoling Jin

State Key Laboratory of Fluid Power and
Mechatronic Systems,
Department of Engineering Mechanics,
Zhejiang University,
No. 38 Zheda Road,
Hangzhou 310027, Zhejiang, China
e-mail: xiaolingjin@zju.edu.cn

Zhilong Huang

State Key Laboratory of Fluid Power and
Mechatronic Systems,
Department of Engineering Mechanics,
Zhejiang University,
No. 38 Zheda Road,
Hangzhou 310027, Zhejiang, China
e-mail: zlhuang@zju.edu.cn

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 26, 2016; final manuscript received July 7, 2017; published online September 29, 2017. Assoc. Editor: Mohammed Daqaq.

J. Vib. Acoust 140(1), 011014 (Sep 29, 2017) (9 pages) Paper No: VIB-16-1515; doi: 10.1115/1.4037508 History: Received October 26, 2016; Revised July 07, 2017

Inspired by the phenomenon of localized response intensification in wideband random vibration, a novel procedure is proposed to determine the optimal locations of piezoelectric patch attaching on wideband random point-driven beam for vibration energy harvesting application. The optimization objective is to maximize the mean output voltage, and the optimal locations lie on the vicinities of the excited point and its symmetric point. The optimal locations keep invariable regardless of typical symmetric boundary conditions (such as the clamped, simply supported, free, and torsional spring supports), the lower and upper cutoff frequencies of the band-limited white noise, and the external damping provided that the excited point is not too close to boundaries and the bandwidth of excitation covers enough modes of primary structure. The robustness of optimal locations is illustrated from an electromechanical coupling model and is qualitatively verified through experimental testing on a random-excited aluminum beam with piezoelectric patches attached on its surface.

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Figures

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Fig. 1

Piezoelectric patch attached on the surface of primary beam

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Fig. 2

Relation of mean-square output voltage to midpoint position of piezoelectric patch for clamped–clamped beam

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Fig. 3

Relation of mean-square output voltage to midpoint position of piezoelectric patch for simply supported beam

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Fig. 4

Relation of mean-square output voltage to midpoint position of piezoelectric patch for free–free beam

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Fig. 5

Relation of mean-square output voltage to midpoint position of piezoelectric patch for torsional spring supported beam

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Fig. 6

Mode shapes of the clamped–clamped, simply supported, and free–free beams: (a) the second mode shape and (b) the 30 mode shape

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Fig. 7

Mean-square output voltage of clamped–clamped beam: (a) the influence of upper cutoff frequency on spatial distribution of mean-square output voltage for the cases with wideband excitation, (b) the influence of upper cutoff frequency on spatial distribution of mean-square output voltage for the cases with narrow-band excitation, and (c) the dependence of the normalized mean-square output voltage of the excited point and mirror point on the upper cutoff frequency

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Fig. 8

Influence of lower cutoff frequency of excitation on spatial distribution of mean-square output voltage

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Fig. 9

Mean-square output voltage of clamped–clamped beam: (a) the influence of external damping on spatial distribution of mean-square output voltage and (b) the dependence of the normalized mean-square output voltage of the excited point and mirror point on the external damping coefficient

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Fig. 10

Optimal locations of piezoelectric patch versus position of excited force

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Fig. 11

Experimental setup: (a) aluminum beam, (b) clamped boundaries, (c) piezoelectric patches, (d) electromechanical shaker, (e) charge amplifier, (f) data collecting and analyzing system, and (g) piezoelectric transducer

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Fig. 12

Experimental results for time-domain voltage samples: (a) the piezoelectric patch at excited position, (b) the piezoelectric patch at middle point of primary beam, and (c) the piezoelectric patch at the image position

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Fig. 13

Experimental results of the clamped–clamped beam. The solid and dashed lines indicate the analytical results, while the discrete symbols are the results from experiments.

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