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Research Papers

Two Methods to Broaden the Bandwidth of a Nonlinear Piezoelectric Bimorph Power Harvester

[+] Author and Article Information
Hongping Hu

Department of Mechanics;Hubei Key Laboratory of Engineering Structural
Analysis and Safety Assessment,
Huazhong University of
Science and Technology,
Wuhan 430074, China;
Franche-Comté Electronique Mécanique
Thermique et Optique, CNRS UMR 6174,
Université de Bourgogne Franche-Comté,
Besançon 25030, France
e-mail: huhp@hust.edu.cn

Longxiang Dai, Hao Chen

Department of Mechanics;Hubei Key Laboratory of Engineering Structural
Analysis and Safety Assessment,
Huazhong University of
Science and Technology,
Wuhan 430074, China

Shan Jiang

Department of Mechanics;Hubei Key Laboratory of Engineering Structural
Analysis and Safety Assessment,
Huazhong University of
Science and Technology,
Wuhan 430074, China;
Franche-Comté Electronique Mécanique
Thermique et Optique, CNRS UMR 6174,
Université de Bourgogne Franche-Comté,
Besançon 25030, France

Hairen Wang

Purple Mountain Observatory,
Chinese Academy of Sciences,
Nanjing 210008, China
e-mail: hairenwang@pmo.ac.cn

Vincent Laude

Franche-Comté Electronique Mécanique
Thermique et Optique, CNRS UMR 6174,
Université de Bourgogne Franche-Comté,
Besançon 25030, France

1Corresponding authors.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 17, 2016; final manuscript received January 6, 2017; published online April 13, 2017. Assoc. Editor: Miao Yu.

J. Vib. Acoust 139(3), 031008 (Apr 13, 2017) (10 pages) Paper No: VIB-16-1305; doi: 10.1115/1.4035717 History: Received June 17, 2016; Revised January 06, 2017

We propose two methods to broaden the operation bandwidth of a nonlinear pinned–pinned piezoelectric bimorph power harvester. The energy-scavenging structure consists of a properly poled and electroded flexible bimorph with a metallic layer in the middle, and is subjected to flexural vibration. Nonlinear effects at large deformations near resonance are considered by taking the in-plane extension of the bimorph into account. The resulting output powers are multivalued and exhibit jump phenomena. Two methods to broaden the operation bandwidth are proposed: The first method is to extend the operation frequency to the left single-valued region through optimal design. The second method is to excite optimal initial conditions with a voltage source. Larger output powers in the multivalued region of the nonlinear harvester are obtained. Hence, the operation bandwidth is broadened from the left single-valued region to the whole multivalued region.

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Figures

Grahic Jump Location
Fig. 1

A pinned-pinned piezoelectric bimorph power harvester: (a) front view and (b) side view of the structure

Grahic Jump Location
Fig. 2

Output power versus driving frequency for different applied pressures: analytical solution (solid lines) and numerical solution (, , )

Grahic Jump Location
Fig. 3

Output power versus applied pressure for different electric resistors, where Ω0 = 1.1

Grahic Jump Location
Fig. 4

Output power versus electric resistor for different applied pressures, where Ω0 = 1.1

Grahic Jump Location
Fig. 5

Output power versus applied pressures for different Ω0, R = 1 MΩ

Grahic Jump Location
Fig. 6

Output power versus driving frequency for different electric resistors, where p0 = 10 Pa

Grahic Jump Location
Fig. 7

Output power versus driving frequency for different span-thickness ratios l/h, where p0 = 10 Pa, R = 1 MΩ, and h = 0.5 mm

Grahic Jump Location
Fig. 8

Output power versus frequency for different ratios of h/c, where p0 = 10 Pa, R = 1 MΩ, and c = 0.2 mm

Grahic Jump Location
Fig. 9

Basin of attraction for the harvester with p0 = 10 Pa, R = 1 MΩ: (a) Ω0=1.085, (b) Ω0=1.105, (c) Ω0=1.125, and (d) superposition of the three frequencies

Grahic Jump Location
Fig. 10

Displacement amplitudes versus frequency for different excitation voltages Ve. Dotted lines limit an amplitude range for which operation is within white region of the basin of attraction in Fig. 9(d).

Grahic Jump Location
Fig. 11

Appropriate phase range to stop the excitation of the voltage source with ω¯e=1.08 and frequency of pressure load (a) Ω0=1.085, (b) Ω0=1.105, (c) Ω0=1.125, and (d) superposition of the three frequencies

Grahic Jump Location
Fig. 12

Flowchart of imposing an optimal initial condition

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