Effective Electromechanical Coupling Coefficients of Piezoelectric Adaptive Structures: Critical Evaluation and Optimization

This work presents a critical analysis of methodologies to evaluate the effective (or generalized) electromechanical coupling coefficient (EMCC) for structures with piezoelectric elements. First, a review of several existing methodologies to evaluate material and effective EMCC is presented. To illustrate the methodologies, a comparison is made between numerical, analytical and experimental results for two simple structures: a cantilever beam with bonded extension piezoelectric patches and a simply-supported sandwich beam with an embedded shear piezoceramic. An analysis of the electric charge cancelation effect on the effective EMCC observed in long piezoelectric patches is performed. It confirms the importance of reinforcing the electrodes equipotentiality condition in the finite element model. Its results indicate also that smaller (segmented) and independent piezoelectric patches could be more interesting for energy conversion efficiency. Then, parametric analyses and optimization are performed for a cantilever sandwich beam with several embedded shear piezoceramic patches. Results indicate that to fully benefit from the higher material coupling of shear piezoceramic patches, attention must be paid to the configuration design so that the shear strains in the patches are maximized. In particular, effective square EMCC values higher than 1% were obtained embedding nine well-spaced short piezoceramic patches in an aluminum/foam/aluminum sandwich beam.

An active strain electromechanical model for cardiac tissue

We propose a finite element approximation of a system of partial differential equations describing the coupling between the propagation of electrical potential and large deformations of the cardiac tissue. The underlying mathematical model is based on the active strain assumption, in which it is assumed that a multiplicative decomposition of the deformation tensor into a passive and active part holds, the latter carrying the information of the electrical potential propagation and anisotropy of the cardiac tissue into the equations of either incompressible or compressible nonlinear elasticity, governing the mechanical response of the biological material. In addition, by changing from an Eulerian to a Lagrangian configuration, the bidomain or monodomain equations modeling the evolution of the electrical propagation exhibit a nonlinear diffusion term. Piecewise quadratic finite elements are employed to approximate the displacements field, whereas for pressure, electrical potentials and ionic variables are approximated by piecewise linear elements. Various numerical tests performed with a parallel finite element code illustrate that the proposed model can capture some important features of the electromechanical coupling, and show that our numerical scheme is efficient and accurate.

Modeling and analysis of laminate composite plates with embedded active-passive piezoelectric networks

The objective of this work is to present the finite element modeling of laminate composite plates with embedded piezoelectric patches or layers that are then connected to active-passive resonant shunt circuits, composed of resistance, inductance and voltage source. Applications to passive vibration control and active control authority enhancement are also presented and discussed. The finite element model is based on an equivalent single layer theory combined with a third-order shear deformation theory. A stress-voltage electromechanical model is considered for the piezoelectric materials fully coupled to the electrical circuits. To this end, the electrical circuit equations are also included in the variational formulation. Hence, conservation of charge and full electromechanical coupling are guaranteed. The formulation results in a coupled finite element model with mechanical (displacements) and electrical (charges at electrodes) degrees of freedom. For a Graphite-Epoxy (Carbon-Fibre Reinforced) laminate composite plate, a parametric analysis is performed to evaluate optimal locations along the plate plane (xy) and thickness (z) that maximize the effective modal electromechanical coupling coefficient. Then, the passive vibration control performance is evaluated for a network of optimally located shunted piezoelectric patches embedded in the plate, through the design of resistance and inductance values of each circuit, to reduce the vibration amplitude of the first four vibration modes. A vibration amplitude reduction of at least 10 dB for all vibration modes was observed. Then, an analysis of the control authority enhancement due to the resonant shunt circuit, when the piezoelectric patches are used as actuators, is performed. It is shown that the control authority can indeed be improved near a selected resonance even with multiple pairs of piezoelectric patches and active-passive circuits acting simultaneously. (C) 2010 Elsevier Ltd. All rights reserved.

Finite element homogenization technique for the characterization of d(15) shear piezoelectric macro-fibre composites

A finite element homogenization method for a shear actuated d(15) macro-fibre composite (MFC) made of seven layers (Kapton, acrylic, electrode, piezoceramic fibre and epoxy composite, electrode, acrylic, Kapton) is proposed and used for the characterization of its effective material properties. The methodology is first validated for the MFC active layer only, made of piezoceramic fibre and epoxy, through comparison with previously published analytical results. Then, the methodology is applied to the seven-layer MFC. It is shown that the packaging reduces significantly the shear stiffness of the piezoceramic material and, thus, leads to significantly smaller effective electromechanical coupling coefficient k(15) and piezoelectric stress constant e(15) when compared to the piezoceramic fibre properties. However, it is found that the piezoelectric charge constant d(15) is less affected by the softer layers required by the MFC packaging.

Refined sandwich model for the vibration of beams with embedded shear piezoelectric actuators and sensors

This work extends a previously presented refined sandwich beam finite element (FE) model to vibration analysis, including dynamic piezoelectric actuation and sensing. The mechanical model is a refinement of the classical sandwich theory (CST), for which the core is modelled with a third-order shear deformation theory (TSDT). The FE model is developed considering, through the beam length, electrically: constant voltage for piezoelectric layers and quadratic third-order variable of the electric potential in the core, while meclianically: linear axial displacement, quadratic bending rotation of the core and cubic transverse displacement of the sandwich beam. Despite the refinement of mechanical and electric behaviours of the piezoelectric core, the model leads to the same number of degrees of freedom as the previous CST one due to a two-step static condensation of the internal dof (bending rotation and core electric potential third-order variable). The results obtained with the proposed FE model are compared to available numerical, analytical and experimental ones. Results confirm that the TSDT and the induced cubic electric potential yield an extra stiffness to the sandwich beam. (C) 2007 Elsevier Ltd. All rights reserved.

Modeling and Analysis of Piezoelectric Energy Harvesting From Aeroelastic Vibrations Using the Doublet-Lattice Method

Multifunctional structures are pointed out as an important technology for the design of aircraft with volume, mass, and energy source limitations such as unmanned air vehicles (UAVs) and micro air vehicles (MAVs). In addition to its primary function of bearing aerodynamic loads, the wing/spar structure of an UAV or a MAV with embedded piezoceramics can provide an extra electrical energy source based on the concept of vibration energy harvesting to power small and wireless electronic components. Aeroelastic vibrations of a lifting surface can be converted into electricity using piezoelectric transduction. In this paper, frequency-domain piezoaeroelastic modeling and analysis of a canti-levered platelike wing with embedded piezoceramics is presented for energy harvesting. The electromechanical finite-element plate model is based on the thin-plate (Kirchhoff) assumptions while the unsteady aerodynamic model uses the doublet-lattice method. The electromechanical and aerodynamic models are combined to obtain the piezoaeroelastic equations, which are solved using a p-k scheme that accounts for the electromechanical coupling. The evolution of the aerodynamic damping and the frequency of each mode are obtained with changing airflow speed for a given electrical circuit. Expressions for piezoaeroelastically coupled frequency response functions (voltage, current, and electrical power as well the vibratory motion) are also defined by combining flow excitation with harmonic base excitation. Hence, piezoaeroelastic evolution can be investigated in frequency domain for different airflow speeds and electrical boundary conditions. [DOI:10.1115/1.4002785]

Dynamic Design of Piezoelectric Laminated Sensors and Actuators using Topology Optimization

Sensors and actuators based on piezoelectric plates have shown increasing demand in the field of smart structures, including the development of actuators for cooling and fluid-pumping applications and transducers for novel energy-harvesting devices. This project involves the development of a topology optimization formulation for dynamic design of piezoelectric laminated plates aiming at piezoelectric sensors, actuators and energy-harvesting applications. It distributes piezoelectric material over a metallic plate in order to achieve a desired dynamic behavior with specified resonance frequencies, modes, and enhanced electromechanical coupling factor (EMCC). The finite element employs a piezoelectric plate based on the MITC formulation, which is reliable, efficient and avoids the shear locking problem. The topology optimization formulation is based on the PEMAP-P model combined with the RAMP model, where the design variables are the pseudo-densities that describe the amount of piezoelectric material at each finite element and its polarization sign. The design problem formulated aims at designing simultaneously an eigenshape, i.e., maximizing and minimizing vibration amplitudes at certain points of the structure in a given eigenmode, while tuning the eigenvalue to a desired value and also maximizing its EMCC, so that the energy conversion is maximized for that mode. The optimization problem is solved by using sequential linear programming. Through this formulation, a design with enhancing energy conversion in the low-frequency spectrum is obtained, by minimizing a set of first eigenvalues, enhancing their corresponding eigenshapes while maximizing their EMCCs, which can be considered an approach to the design of energy-harvesting devices. The implementation of the topology optimization algorithm and some results are presented to illustrate the method.

Progenitor cell therapy for heart disease.

Many cell types are currently being studied as potential sources of cardiomyocytes for cell transplantation therapy to repair and regenerate damaged myocardium. The question remains as to which progenitor cell represents the best candidate. Bone marrow-derived cells and endothelial progenitor cells have been tested in clinical studies. These cells are safe, but their cardiogenic potential is controversial. The functional benefits observed are probably due to enhanced angiogenesis, reduced ventricular remodeling, or to cytokine-mediated effects that promote the survival of endogenous cells. Human embryonic stem cells represent an unlimited source of cardiomyocytes due to their great differentiation potential, but each step of differentiation must be tightly controlled due to the high risk of teratoma formation. These cells, however, confront ethical barriers and there is a risk of graft rejection. These last two problems can be avoided by using induced pluripotent stem cells (iPS), which can be autologously derived, but the high risk of teratoma formation remains. Cardiac progenitor cells have the advantage of being cardiac committed, but important questions remain unanswered, such as what is the best marker to identify and isolate these cells? To date the different markers used to identify adult cardiac progenitor cells also recognize progenitor cells that are outside the heart. Thus, it cannot be determined whether the cardiac progenitor cells identified in the adult heart represent resident cells present since fetal life or extracardiac cells that colonized the heart after cardiac injury. Developmental studies have identified markers of multipotent progenitors, but it is unknown whether these markers are specific for adult progenitors when expressed in the adult myocardium. Cardiac regeneration is dependent on the stability of the cells transplanted into the host myocardium and on the electromechanical coupling with the endogenous cells. Finally, the promotion of endogenous regenerative processes by mobilizing endogenous progenitors represents a complementary approach to cell transplantation therapy.

Influence des glycines du lien S4-S5 sur le couplage électromécanique des canaux ioniques dépendants du voltage

Les canaux potassiques dépendants du voltage sont formés de quatre sous-unités, chacune possédant six segments transmembranaires (S1-S6) et une boucle (p-loop) qui se trouve entre le cinquième et le sixième segment au niveau du pore. Il est connu que le segment senseur du voltage (S1-S4) subit un mouvement lorsque le potentiel membranaire change. Pour ouvrir le canal, il est nécessaire de transférer l'énergie du senseur du voltage (généré par le mouvement des charges positives de S4) au pore. Le mécanisme exact de ce couplage électromécanique est encore sous étude. Un des points de liaison entre le senseur de voltage et le pore est le lien physique fait par le segment S4-S5 (S45L). Le but de cette étude est de déterminer l'influence de la flexibilité du segment S45L sur le processus de couplage. Dans le S45L, trois glycines sont distribuées dans des positions différentes. Elles sont responsables de la flexibilité des hélices-alpha. Ces glycines (mais pas leurs positions exactes) sont conservées pour tous les canaux potassiques dépendants de potentiel. En utilisant la technique de mutagènes dirigé, la glycine a été remplacée dans chacune de ces différentes positions par une alanine et dans une deuxième étape, par une proline (pour introduire un angle dans l'hélice). Pour étudier le comportement des canaux dans cette nouvelle conformation, on a appliqué la technique de « patch clamp » pour déterminer les effets lors de l'ouverture du pore (courant ionique). Avec le « cut-open oocyte voltage-clamp », nous avons étudié les effets sur le mouvement du senseur de voltage (courant “gating”) et la coordination temporelle avec l'ouverture du pore (courant ionique). Les données ont montré qu’en réduisant la flexibilité dans le S45L, il faut avoir plus d'énergie pour faire ouvrir le canal. Le changement pour une proline suggère que le mouvement du senseur est indépendant du pore pendant l'ouverture du canal.

Études de type structure fonction du couplage électromécanique et de la coopérativité sous-unitaire chez les canaux potassiques dépendants du voltage

Les canaux potassiques voltage-dépendants forment des tétramères dont chaque sous-unité comporte six segments transmembranaires (S1 à S6). Le pore, formé des segments S5-S6 de chaque sous-unité, est entouré de quatre domaines responsables de la sensibilité au potentiel membranaire, les senseurs de voltage (VS; S1-S4). Lors d’une dépolarisation membranaire, le mouvement des résidus chargés situés dans le VS entraine un mouvement de charges détectable en électrophysiologie, le courant de « gating ». L’activation du VS conduit à l'ouverture du pore, qui se traduit par un changement de conformation en C-terminal du segment S6. Pour élucider les principes qui sous-tendent le couplage électromécanique entre ces deux domaines, nous avons étudié deux régions présumées responsables du couplage chez les canaux de type Shaker K+, soit la région carboxy-terminale du segment S6 et le lien peptidique reliant les segments transmembranaire S4-S5 (S4-5L). Avec la technique du « cut-open voltage clamp fluorometry » (COVCF), nous avons pu déterminer que l’interaction inter-sous-unitaire RELY, formée par des acides aminés situés sur le lien S4-5L et S6 de deux sous-unités voisines, est impliquée dans le développement de la composante lente observée lors du retour des charges de « gating » vers leur état de repos, le « OFF-gating ». Nous avons observé que l’introduction de mutations dans la région RELY module la force de ces interactions moléculaires et élimine l’asymétrie observée dans les courants de « gating » de type sauvage. D’ailleurs, nous démontrons que ce couplage inter-sous-unitaire est responsable de la stabilisation du pore dans l’état ouvert. Nous avons également identifié une interaction intra-sous-unitaire entre les résidus I384 situé sur le lien S4-5L et F484 sur le segment S6 d’une même sous-unité. La déstabilisation de cette interaction hydrophobique découple complètement le mouvement des senseurs de voltage et l'ouverture du pore. Sans cette interaction, l’énergie nécessaire pour activer les VS est moindre en raison de l’absence du poids mécanique appliqué par le pore. De plus, l’abolition du couplage électromécanique élimine également le « mode shift », soit le déplacement de la dépendance au voltage des charges de transfert (QV) vers des potentiels hyperpolarisants. Ceci indique que le poids mécanique du pore imposé au VS entraine le « mode shift », en modulant la conformation intrinsèque du VS par un processus allostérique.

Étude structurale et fonctionnelle du canal potassium dépendant du voltage KvAP

Les canaux ioniques dépendants du voltage sont responsables de l'initiation et de la propagation des potentiels d'action dans les cellules excitables. De nombreuses maladies héréditaires (channelopathies) sont associées à un contrôle défectueux du voltage par ces canaux (arythmies, épilepsie, etc.). L’établissement de la relation structure-fonction exacte de ces canaux est donc crucial pour le développement de nouveaux agents thérapeutiques spécifiques. Dans ce contexte, le canal procaryote dépendant du voltage et sélectif au potassium KvAP a servi de modèle d’étude afin d’approfondir i) le processus du couplage électromécanique, ii) l’influence des lipides sur l’activité voltage-dépendante et iii) l’inactivation de type closed-state. Afin de pallier à l’absence de données structurales dynamiques du côté cytosolique ainsi que de structure cristalline dans l’état fermé, nous avons mesuré le mouvement du linker S4-S5 durant le gating par spectroscopie de fluorescence (LRET). Pour ce faire, nous avons utilisé une technique novatrice du contrôle de l’état conformationnel du canal en utilisant les lipides (phospholipides et non phospholipides) au lieu du voltage. Un modèle dans l’état fermé a ainsi été produit et a démontré qu’un mouvement latéral modeste de 4 Å du linker S4-S5 est suffisant pour mener à la fermeture du pore de conduction. Les interactions lipides - canaux jouent un rôle déterminant dans la régulation de la fonction des canaux ioniques mais ne sont pas encore bien caractérisées. Nous avons donc également étudié l’influence de différents lipides sur l’activation voltage - dépendante de KvAP et mis en évidence deux sites distincts d’interactions menant à des effets différents : au niveau du senseur de voltage, menant au déplacement de la courbe conductance-voltage, et du côté intracellulaire, influençant le degré de la pente de cette même courbe. Nous avons également démontré que l’échange de lipides autour de KvAP est extrêmement limité et affiche une dépendance à l’état conformationnel du canal, ne se produisant que dans l’état ouvert. KvAP possède une inactivation lente particulière, accessible depuis l'état ouvert. Nous avons étudié les effets de la composition lipidique et de la température sur l'entrée dans l'état inactivé et le temps de récupération. Nous avons également utilisé la spectroscopie de fluorescence (quenching) en voltage imposé afin d'élucider les bases moléculaires de l’inactivation de type closed-state. Nous avons identifié une position à la base de l’hélice S4 qui semble impliquée à la fois dans le mécanisme responsable de ce type d'inactivation et dans la récupération particulièrement lente qui est typique du canal KvAP.

Structural integrity identification based on smart materials and neural networks

This paper presents a non-model based technique to detect, locate, and characterize structural damage by combining the impedance-based structural health monitoring technique with an artificial neural network. The impedance-based structural health monitoring technique, which utilizes the electromechanical coupling property of piezoelectric materials, has shown engineering feasibility in a variety of practical field applications. Relying on high frequency structural excitations (typically>30 kHz), this technique is very sensitive to minor structural changes in the near field of the piezoelectric sensors. In order to quantitatively assess the state of structures, two sets of artificial neural networks, which utilize measured electrical impedance signals for input patterns, were developed. By employing high frequency ranges and by incorporating neural network features, this technique is able to detect the damage in its early stage and to estimate the nature of damage without prior knowledge of the model of structures. The paper concludes with an experimental example, an investigation on a massive quarter scale model of a steel bridge section, in order to verify the performance of this proposed methodology.

Experimental Active Vibration Control in Truss Structures Considering Uncertainties in System Parameters

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Gastric motility evaluated by electrogastrography and alternating current biosusceptometry in dogs

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Structural health evaluation by optimization techinique and artificial neural network

This paper presents two different approaches to detect, locate, and characterize structural damage. Both techniques utilize electrical impedance in a first stage to locate the damaged area. In the second stage, to quantify the damage severity, one can use neural network, or optimization technique. The electrical impedance-based, which utilizes the electromechanical coupling property of piezoelectric materials, has shown engineering feasibility in a variety of practical field applications. Relying on high frequency structural excitations, this technique is very sensitive to minor structural changes in the near field of the piezoelectric sensors, and therefore, it is able to detect the damage in its early stage. Optimization approaches must be used for the case where a good condensed model is known, while neural network can be also used to estimate the nature of damage without prior knowledge of the model of the structure. The paper concludes with an experimental example in a welded cubic aluminum structure, in order to verify the performance of these two proposed methodologies.