A general electromechanical model for plates with integrated piezo-patches using spectral-Tchebychev method

Aghakhani, Amirreza; Motlagh, Peyman Lahe; Bediz, Bekir; Basdogan, Ipek

doi:10.1016/j.jsv.2019.06.016

Cited by 21 publications

(3 citation statements)

References 31 publications

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“…In this study, however, we have derived the neutral axis location in equation (16e) by assuming the short-circuit condition, that is E 3 = 0. We have shown in our previous study that such an assumption holds well for the case of small-amplitude vibration of thin plates, when comparing with 3D finite-element simulations [29]. Moreover, it facilitates the calculation of displacement and electrical responses.…”

Section: Modal Analysis Of a Piezoelectric Metamaterials Platementioning

confidence: 79%

“…The thin plate with an array of structurally integrated piezo-patches is modeled based on the Kirchhoff plate theory by assuming that the effects of transverse shear deformation is neglected. Note that, for moderately thick plates, Mindlin plate theory with spectral-Tchebychev solution techniques presented in our previous study can be adopted [29]. Under the point force excitation, the partial differential equation for the undamped vibrations of the composite plate can be written as…”

Section: Modal Analysis Of a Piezoelectric Metamaterials Platementioning

confidence: 99%

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Modal analysis of finite-size piezoelectric metamaterial plates

Aghakhani

Gozum

Basdogan

2020

J. Phys. D: Appl. Phys.

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Two-dimensional electromechanical metamaterials composed of thin plates with local piezoelectric resonators can display extreme vibration attenuation characteristics at desired frequencies. The typical bandgap analyses in the literature use the assumption of wave propagation in an infinite elastic structure and do not consider the modal characteristics of the structure. However, for practical implementation and design of finite-size electromechanical metamaterials, modal behaviour of the host structure and piezoelectric elements must be coupled with the dynamics of shunt circuits. To this end, we present a system-level modal analysis framework for finite-size thin plates with a segregated array of piezo-patches connected to resonant shunt circuits. The developed model takes into account the spatially discontinuous flexural rigidity of the metamaterial plate due to discrete placement of piezoelectric resonators on the substrate. Using the developed framework, we show that the electrical quality factor of resonators is critical for transitioning from broadband shunt damping to bandgap formation in piezoelectric plate metamaterials. This enables on-demand tailoring of effective dynamic stiffness of metamaterial plates for the targeted task. Lastly, for a fixed number of discrete resonators, we demonstrate the effect of physical gap size between resonators on the bandgap creation. Overall, the modelling frameworks in this study can be used for predicting the dynamics of piezoelectric plate-type metamaterials for applications in waveguiding, attenuation, filtering, and energy harvesting.

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Section: Modal Analysis Of a Piezoelectric Metamaterials Platementioning

confidence: 79%

Section: Modal Analysis Of a Piezoelectric Metamaterials Platementioning

confidence: 99%

Modal analysis of finite-size piezoelectric metamaterial plates

Aghakhani

Gozum

Basdogan

2020

J. Phys. D: Appl. Phys.

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“…illustrates the representation of the two piezo patches connected to a resistive load in the form of an equivalent circuit. It is important to mention that when nonlinear circuits are utilized in conjunction with the piezo-patches, an alternative approach known as the equivalent impedance method can be employed, as proposed by (Aghakhani et al, 2019;Motlagh et al, 2021). By applying Kirchhoff's current law, the circuit equation can be formulated:…”

Section: Electrical Circuit Equationsmentioning

confidence: 99%

A new framework for optimizing energy harvesting from smart composites integrated with piezoelectric patches utilizing lamination parameters

Acar,

Motlagh

2024

10.5267/j.esm

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Amongst various structures, 2D panels are widely used in many industries and in each application, there are many ambient vibrations which can be converted into electrical energy. The very efficient method to utilize can be using piezoelectric patches which are stuffiest enough for various applications like energy harvesting. This study presents a novel approach for investigating energy harvesting in smart structures using composite panels integrated with piezoelectric patches. The panels are chosen to symmetry-balanced laminated composites, and modal and harmonic analysis conducted using the Rayleigh-Ritz method. To compute the kinetic and potential energy components of the piezoelectric patches at a local level, piecewise Heaviside functions are employed, and these energy components are integrated into the equations of motion together with those of the host composite plate. The results of the numerical method are validated by a commercial finite element software (FEM) COMSOL and there is a good match between FEM and this paper results. By subjecting the laminated composite with piezoelectric patches to forced vibration while varying the lamination parameter, the power output is optimized. The findings emphasize the substantial impact of the lamination parameter on power output, indicating that modifications can result in significant power output increase.

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