Research Papers

Energy Harvesting of a Multilayer Piezoelectric Beam in Resonance and Off-Resonance Cases

[+] Author and Article Information
Majid Jabbari

Department of Mechanical Engineering,
Isfahan University of Technology,
Isfahan 84156-83111, Iran
e-mail: jabbari_nik@yahoo.com

Mostafa Ghayour, Hamid Reza Mirdamadi

Department of Mechanical Engineering,
Isfahan University of Technology,
Isfahan 84156-83111, Iran

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received August 29, 2015; final manuscript received January 27, 2017; published online April 19, 2017. Assoc. Editor: Ghatu Subhash.

J. Eng. Mater. Technol 139(3), 031008 (Apr 19, 2017) (14 pages) Paper No: MATS-15-1201; doi: 10.1115/1.4036241 History: Received August 29, 2015; Revised January 27, 2017

This paper presents to verify the energy harvesting of a nonlinear piezoelectric multilayer beam under harmonic excitation. For getting the perfect performance in energy harvesting, the effect of the energy loss factor, resistive load, and excitation frequency are studied on the results of the power and voltage generated. In this paper, a numerical program is developed with matlab software. Numerical approximation of the nonlinear equations uses a mixed finite element formulation in terms of displacement and potential electrical variables. To verify the numerical results, the experimental results for the energy harvesting of a piezoelectric multilayer beam with harmonic base excitation are used. The multilayer piezoelectric beam (MPB) used consists of two bimorphs in the case of a series connection and a substructure layer of aluminum. For the considered electrical circuit, the piezoelectric energy harvesting model is connected to the resistive load and the generated power in MPB is sent to load resistance. The influence of the type of layer connection on the output voltage value is investigated. The generated voltage and electrical power of the resistive load are verified using the piezoelectric multilayer beam in both resonance and off-resonance cases. According to the results, the maximum value of electric power occurs at the optimum resistive load for the selected frequency value and the behavior of energy harvesting depends greatly on the excitation frequency. Also, the value of the capacitance and resistive load affects the voltage and power generated, and optimum resistance is vital for producing maximum power.

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Fig. 1

(a) The electrical circuit of energy harvesting of the MPB with the resistive load and (b) the equivalent circuit of off-resonance case

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Fig. 2

The behavior of the functions ηRrcr and φRrcrrms/φ0 versus the energy loss factor

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Fig. 3

The MPB in the cantilevered condition

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Fig. 4

Three different cases for the harvesting circuit

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Fig. 5

The experimental setup schematics

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Fig. 6

The experimental equipment

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Fig. 7

The FRF response of the piezoelectric multilayer beam in case C-1

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Fig. 8

The voltage response of the piezoelectric multilayer beam in the frequency 300 Hz

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Fig. 9

The optimum resistance versus the energy loss factor for frequency of 300 Hz and the capacitance of 16 × 10−9 F

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Fig. 10

The value of Prrms/φ02 with the change of the resistive load for frequency of 300 Hz in open circuit condition

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Fig. 11

The behavior of φrrms/φ0 versus the frequency in different resistive loads

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Fig. 12

The generated electrical powers versus capacitance for different resistive loads in the frequency of 300 Hz

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Fig. 13

The generated voltage versus frequency for different resistive loads

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Fig. 14

The generated powers in the off-resonance mode for different resistive loads

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Fig. 15

The power ratio versus frequency




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