Size effect of tip mass on performance of cantilevered piezoelectric energy harvester with a dynamic magnifier

Tang, Liping; Wang, Jianguo

doi:10.1007/s00707-017-1910-8

Cited by 41 publications

(20 citation statements)

References 31 publications

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“…where ξ r is defined as the modal damping ratio of rth which include the viscous air damping part c a and the strain-rate damping part c s [37,43]. Commonly, in experimental modal analysis practice, one can identify the modal damping ratio ξ r directly from the frequency response or time-domain measurements, which avoids the requirement of defining and obtaining the physical damping terms c s and c a [41].…”

Section: Electromechanical Governing Equations In Modal Coordinatesmentioning

confidence: 99%

Analytical Electromechanical Modeling of Nanoscale Flexoelectric Energy Harvesting

Lin

Huang

et al. 2019

Applied Sciences

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With the attention focused on harvesting energy from the ambient environment for nanoscale electronic devices, electromechanical coupling effects in materials have been studied for many potential applications. Flexoelectricity can be observed in all dielectric materials, coupling the strain gradients and polarization, and may lead to strong size-dependent effects at the nanoscale. This paper investigates the flexoelectric energy harvesting under the harmonic mechanical excitation, based on a model similar to the classical Euler–Bernoulli beam theory. The electric Gibbs free energy and the generalized Hamilton’s variational principle for a flexoelectric body are used to derive the coupled governing equations for flexoelectric beams. The closed-form electromechanical expressions are obtained for the steady-state response to the harmonic mechanical excitation in the flexoelectric cantilever beams. The results show that the voltage output, power density, and mechanical vibration response exhibit significant scale effects at the nanoscale. Especially, the output power density for energy harvesting has an optimal value at an intrinsic length scale. This intrinsic length is proportional to the material flexoelectric coefficient. Moreover, it is found that the optimal load resistance for peak power density depends on the beam thickness at the small scale with a critical thickness. Our research indicates that flexoelectric energy harvesting could be a valid alternative to piezoelectric energy harvesting at micro- or nanoscales.

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Section: Electromechanical Governing Equations In Modal Coordinatesmentioning

confidence: 99%

Analytical Electromechanical Modeling of Nanoscale Flexoelectric Energy Harvesting

Lin

Huang

et al. 2019

Applied Sciences

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“…Considerable interest in vibration energy harvesting has emerged in the last decade with the rapid development of wireless sensors and low-power electrical devices [1][2][3]. Piezoelectric materials are extensively studied for mechanical-to-electrical energy conversion due to the high power densities and easy fabrication [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Multiple-Scale Analysis of a Tunable Bi-Stable Piezoelectric Energy Harvester

Feng

Abaid

Zuo

2020

ASME Letters in Dynamic Systems and Control

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This paper presents the theoretical modeling and multiple-scale analysis of a novel piezoelectric energy harvester composed of a metal cantilever beam, piezoelectric films, and an axial preload spring at the moveable end. The harvester experiences mono- and bi-stable regimes as the stiffness of preload spring increases. The governing equations are derived with two high-order coupling terms induced by the axial motion. The literature shows that these high-order coupling terms lead to tedious calculations in the stability analysis of solutions. This work introduces an analytical strategy and the implementation of the multiple-scale method for the harvester in either the mono- or bi-stable status. Numerical simulations are performed to verify the analytical solutions. The influence of the electrical resistance, excitation level, and the spring pre-deformation on the voltage outputs and dynamics are investigated. The spring pre-deformation has a slight influence on the energy harvesting performance of the mono-stable system, but a large effect on that of the bi-stable system.

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“…The various analytical studies of the piezoelectric power harvesting devices have been investigated using the lumped parameter models with electrical equivalent systems [19] and extensive circuit technique combinations [20]- [23], Rayleigh-Ritz methods [24]- [25] modal analysis method [26], assumed-mode method [27], and the weak-form techniques [28]- [29]. Other theoretical methods of piezoelectric power harvesting with different studies have also been investigated using random vibration analysis [30], fully closed-form boundary value methods [31]- [32], and analytical voltage-and charge-type Hamiltonian formulations [33]. For segmented piezoelectric structure, a few published works focusing on the structural discontinuity of piezoelectric components including beam orientation have investigated the use of the transfer matrix method [34] and analytical solutions [35].…”

Section: Introductionmentioning

confidence: 99%

A unified electromechanical finite element dynamic analysis of multiple segmented smart plate energy harvesters: circuit connection patterns

Lumentut

Shu

2018

Acta Mech

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This paper presents the techniques for formulating the multiple segmented smart plate structures with different circuit connection patterns using the electromechanical finite element dynamic analysis. There are three major contributions in the proposed numerical studies. First, the electromechanical discretization has been developed for generalizing the coupled system of the Kirchhoff's smart plate structures with circuit connection patterns. Such constitutive numerical models reduced from the extended Lagrange equations can be used for the physical systems including, but not restricted to the multiple piezoelectric and electrode segments. Second, the multiple piezoelectric or electrode segments can be arranged electrically in parallel, series, and mixed series-parallel connections with the on-off switching techniques where the electrical outputs of each connection are further connected with the standard AC-DC circuit interfaces. Third, the coupling transformation technique (CTT) has been introduced by modifying the orthonormalized global element matrices into the scalar form equations. As a result, the multimode frequency response function and time waveform signal response equations are distinctly formulated for each circuit connection. Further parametric numerical case studies are also discussed in this paper. The benefit of using the circuit connection patterns with the on-off switching techniques is that the studies can be used for an adaptive vibration power harvester.

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Size effect of tip mass on performance of cantilevered piezoelectric energy harvester with a dynamic magnifier

Cited by 41 publications

References 31 publications

Analytical Electromechanical Modeling of Nanoscale Flexoelectric Energy Harvesting

Analytical Electromechanical Modeling of Nanoscale Flexoelectric Energy Harvesting

Multiple-Scale Analysis of a Tunable Bi-Stable Piezoelectric Energy Harvester

A unified electromechanical finite element dynamic analysis of multiple segmented smart plate energy harvesters: circuit connection patterns

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