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Article

Modeling of a Symmetric Five-Bar Displacement Amplification Compliant Mechanism for Energy Harvesting

1
Mechanical Design and Production Department, Faculty of Engineering, Cairo University, Giza 12613, Egypt
2
Mechanical Engineering Department, American University in Cairo, New Cairo 11835, Egypt
*
Author to whom correspondence should be addressed.
Current address: Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA 15213, USA.
Academic Editor: Fabio Viola
Sensors 2021, 21(4), 1095; https://doi.org/10.3390/s21041095
Received: 6 January 2021 / Revised: 28 January 2021 / Accepted: 2 February 2021 / Published: 5 February 2021
(This article belongs to the Special Issue Energy Harvesting Sensors)
This paper presents an analytical model to determine a closed form mathematical representation for the output displacement of a displacement amplification compliant mechanism used for energy harvesting. A symmetric five-bar compliant mechanism with right-circular and corner-filleted flexure hinges was mathematically modeled and its displacement was determined using the Castigliano energy theorem. The stresses within the flexure joints, the weakest points in the mechanism body, were calculated. The mathematical model expresses both the displacement amplification and the stresses as functions of the design parameters and the load caused by the harvester. The developed model can be used to optimize the mechanism dimensions for maximum harvested power, while minimizing its structural stresses. The mechanism was also modeled numerically using finite element methods; both the analytical and numerical models were verified experimentally. The mathematical model of the mechanism was integrated with a model representing a piezoelectric energy harvester to calculate the open-circuit voltage. As a proof of concept, experiments were performed using an unimorph piezoelectric cantilever at low-frequency (less than 1 Hz) harmonic excitation inputs. The measured open-circuit voltage was found to be in agreement with that calculated using the proposed model, when integrated with the model representing the piezoelectric beam. The power generated by the piezoelectric harvester, equipped with the proposed displacement amplification mechanism, was more than a hundred times that without amplification. View Full-Text
Keywords: displacement amplification; compliant mechanism; castigliano’s theorem; energy harvesting displacement amplification; compliant mechanism; castigliano’s theorem; energy harvesting
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MDPI and ACS Style

Elsisy, M.M.; Arafa, M.H.; Saleh, C.A.; Anis, Y.H. Modeling of a Symmetric Five-Bar Displacement Amplification Compliant Mechanism for Energy Harvesting. Sensors 2021, 21, 1095. https://doi.org/10.3390/s21041095

AMA Style

Elsisy MM, Arafa MH, Saleh CA, Anis YH. Modeling of a Symmetric Five-Bar Displacement Amplification Compliant Mechanism for Energy Harvesting. Sensors. 2021; 21(4):1095. https://doi.org/10.3390/s21041095

Chicago/Turabian Style

Elsisy, Moataz M., Mustafa H. Arafa, Chahinaz A. Saleh, and Yasser H. Anis. 2021. "Modeling of a Symmetric Five-Bar Displacement Amplification Compliant Mechanism for Energy Harvesting" Sensors 21, no. 4: 1095. https://doi.org/10.3390/s21041095

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