Design approach for post-buckled beams in bistable piezoelectric energy harvesters

Benhemou, Aya; Huguet, Thomas; Gibus, David; Carré, Aurélien; Saint-Martin, Camille; Roux, Émile; Charleux, Ludovic; Morel, Adrien; Badel, Adrien

doi:10.1109/wpw54272.2022.9853996

Cited by 4 publications

(7 citation statements)

References 10 publications

(12 reference statements)

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“…When considering the 4 identical beams and assuming symmetry around the inertial mass, the equivalent stiffnesses of the 4 beams are equal to 4 and , as shown in a previous study [7]. The spring and both APAs are represented in the equivalent system represented in Figure 3 Figure 3: Schematic representation of the equivalent system Static mechanics considerations dictate that if the elements of a system are in series, the forces each isolated element of the system is subjected to, as well as the force applied on the equivalent system, are equal.…”

Section: Lumped Model Formulationmentioning

confidence: 76%

“…When 2 3 equals 1, the equations obtained are the ones described by Huguet et al [6] given by (13), seeing as the value of the tuning APA's voltage & is a constant. This implies a bigger bandwidth but a lower maximum power output if the rest of the normalized parameters of the harvester are fixed (including the quality factor) as seen in Morel et al's work [8] and in a previous study [7]. In conclusion, the proposed lumped model shows that the stiffness only affects feasibility.…”

Section: Lumped Model Formulationmentioning

confidence: 77%

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Predictive Modelling Approach for a Piezoelectric Bistable Energy Harvester Architecture

Benhemou

Huguet²,

Gibus

et al. 2022

2022 21st International Conference on Micro and Nanotechnology for Power Generation and Energy Conversion Applications (PowerME

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de

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Section: Lumped Model Formulationmentioning

confidence: 76%

Section: Lumped Model Formulationmentioning

confidence: 77%

Predictive Modelling Approach for a Piezoelectric Bistable Energy Harvester Architecture

Benhemou

Huguet²,

Gibus

et al. 2022

2022 21st International Conference on Micro and Nanotechnology for Power Generation and Energy Conversion Applications (PowerME

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“…The analytical resolution of this system gives way to an expression of the theoretical normalized admittance ⌣ Y = I jCpω , similar to the one proposed by Kim et al [38]. This expression of the theoretical normalized admittance ⌣ Y, given by (36), is fitted to the experimental response in order to deduce the values of (k 2 m , Q m , ω 0 )…”

Section: Methodsmentioning

confidence: 89%

“…In addition, the values of the length L, width l z and thickness l y of the rectangular straight section of the post-buckled beams are provided in table 1. These dimensions allow us to determine the bending and axial extension stiffnesses K b and K a of the beams, using the formulas given by ( 38) and mentioned in [36], with E APX4 the young modulus of the steel used to manufacture the beams…”

Section: The Elasticity Factor Experimental Validationmentioning

confidence: 99%

“…It is unclear, however, whether the axial stiffness, which represents the axial extension strain modes of the beams, influences the BPEH's dynamic behavior for structures that use 3-3 ECMs. We investigated the effect of this axial stiffness for a non-tunable BPEH architecture in a previous article [36]. It was demonstrated that for this type of BPEH architecture, relatively low values of the axial stiffness of the beams can have a detrimental effect on the BPEH's power output.…”

Section: Introductionmentioning

confidence: 99%

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Predictive lumped model for a tunable bistable piezoelectric energy harvester architecture

Benhemou,

Gibus,

Huguet

et al. 2024

Smart Mater. Struct.

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In this article, we propose the modelling of a tunable Bistable Piezoelectric Energy Harvester (or BPEH) architecture. The former is a type of ambient energy converters that continue to gain attention due to their wideband frequency response. As the non-linear dynamics of BPEHs imply significant modeling complexity, dynamic lumped models are necessary to predict BPEHs’ dynamic response and should fit the type of architecture studied. The BPEH architecture of interest uses post-buckled beams to create bistability and an Amplified Piezoelectric Actuator (or APA) to convert the ambient vibrations. To date, no dynamic lumped models have been found in existing literature that account for both the electromechanical conversion and the dynamic behavior of buckled beams, with a specific focus on their axial and bending stiffness, for this BPEH architecture. Additionally, the proposed BPEH architecture offers buckling level tunability, which is achieved using an additional APA. Hence, the aim of this paper is to propose a new lumped model for a BPEH architecture which considers the effect of the post-buckled beams’ stiffnesses and of the additional APA through an elasticity factor κ ̅, called elasticity factor. This lumped model is established using Euler Lagrange equations and is experimentally validated on a tunable BPEH prototype. This validation shows an average relative error below 6% between the model’s predictions and experimental dynamic response of the prototype to an ascending frequency sweep, compared to an average relative error that’s below 15% for the model proposed in literature. Numerical simulations using the proposed model were made and lead to the conclusion that there is an optimal elasticity factor κ ̅ that ensures the maximum power output while maintaining the frequency bandwidth.

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Piezoelectric energy harvester for wind turbine blades based on bistable response of a composite beam in post-buckling

Plagianakos,

Leventakis,

Chrysochoidis

et al. 2024

Smart Mater. Struct.

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A bistable piezoelectric energy harvester (PEH) is presented for harvesting power from vibrations occurring at low frequencies, as is the case of wind turbine blades. The axial compressive prestress of a piezoelectric composite beam at post-buckling serves as the bistability source, leading to high mechanical to electric power conversion. An in-house harvesting circuit connected to the piezoelectric terminals is used for demonstration of its harvesting power capabilities. A finite element (FE) model is used to analyze and optimize the coupled nonlinear electromechanical response of the PEH, including structure and circuit. A physical prototype has been manufactured and tested for validation of the electromechanical design and the FE modeling approach. Predictions and measurements indicate an increase of harvested power with applied prestress up to a transition point, where a sudden drop in power occurs. Good comparison between numerical and experimental results verified the modeling approach, whereas deviations related to physical boundary conditions at large compressive forces affected the prediction of the transition point in harvested power. The harvester produced 1.32 mW of electrical power under tonal base excitation of 1 g at 8 Hz. Hence, the nonlinear PEH has demonstrated its capability to harvest energy at frequencies much lower than its first linear modal frequency and could thus serve as a promising solution for powering IoT devices and sensors in large vibrating structures.

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Design approach for post-buckled beams in bistable piezoelectric energy harvesters

Cited by 4 publications

References 10 publications

Predictive Modelling Approach for a Piezoelectric Bistable Energy Harvester Architecture

Predictive Modelling Approach for a Piezoelectric Bistable Energy Harvester Architecture

Predictive lumped model for a tunable bistable piezoelectric energy harvester architecture

Piezoelectric energy harvester for wind turbine blades based on bistable response of a composite beam in post-buckling

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