Design of laminated piezocomposite shell transducers with arbitrary fiber orientation using topology optimization approach

Sensor and actuator based on laminated piezocomposite shells have shown increasing demand in the field of smart structures. The distribution of piezoelectric material within material layers affects the performance of these structures; therefore, its amount, shape, size, placement, and polarization should be simultaneously considered in an optimization problem. In addition, previous works suggest the concept of laminated piezocomposite structure that includes fiber-reinforced composite layer can increase the performance of these piezoelectric transducers; however, the design optimization of these devices has not been fully explored yet. Thus, this work aims the development of a methodology using topology optimization techniques for static design of laminated piezocomposite shell structures by considering the optimization of piezoelectric material and polarization distributions together with the optimization of the fiber angle of the composite orthotropic layers, which is free to assume different values along the same composite layer. The finite element model is based on the laminated piezoelectric shell theory, using the degenerate three-dimensional solid approach and first-order shell theory kinematics that accounts for the transverse shear deformation and rotary inertia effects. The topology optimization formulation is implemented by combining the piezoelectric material with penalization and polarization model and the discrete material optimization, where the design variables describe the amount of piezoelectric material and polarization sign at each finite element, with the fiber angles, respectively. Three different objective functions are formulated for the design of actuators, sensors, and energy harvesters. Results of laminated piezocomposite shell transducers are presented to illustrate the method. Copyright (C) 2012 John Wiley & Sons, Ltd.

On response time reduction of electrothermomechanical MEMS using topology optimization

Electrothermomechanical MEMS are essentially microactuators that operate based on the thermoelastic effect induced by the Joule heating of the structure. They can be easily fabricated and require relatively low excitation voltages. However, the actuation time of an electrothermomechanical microdevice is higher than the actuation times related to electrostatic and piezoelectric actuation principles. Thus, in this research, we propose an optimization framework based on the topology optimization method applied to transient problems, to design electrothermomechanical microactuators for response time reduction. The objective is to maximize the integral of the output displacement of the actuator, which is a function of time. The finite element equations that govern the time response of the actuators are provided. Furthermore, the Solid Isotropic Material with Penalization model and Sequential Linear Programming are employed. Finally, a smoothing filter is implemented to control the solution. Results aiming at two distinct applications suggest the proposed approach can provide more than 50% faster actuators. (C) 2012 Elsevier B.V. All rights reserved.

Slice: experiência de gestão de um processo de projeto paramétrico, com superfícies complexas

O artigo apresenta uma reflexão sobre a gestão do processo de projeto paramétrico, com superfícies complexas, baseado em duas experiências realizadas no Instituto de Arquitetura e Urbanismo, da USP de São Carlos, pelo grupo de pesquisa Nomads.usp. SLICE é o resultado parcial de um pavilhão temporário, com superfícies complexas, desenvolvido por meio de projeto paramétrico e técnicas de fabricação digital. Utilizou-se o procedimento de uma pesquisa-ação2 com alunos de graduação e recém-formados em arquitetura, arquitetos do Nomads.usp e a indústria. Os experimentos apontaram para reflexões sobre algumas mudanças na gestão destes processos, para facilitar a viabilidade técnico-construtiva e gerar conhecimento nas áreas de projeto paramétrico, fabricação digital e gestão. O artigo tem caráter exploratório e o desafio é entender e avaliar a gestão do projeto paramétrico em relação a restrição de material, custo de execução e tempo de produção.

Towards the stabilization of the low density elements in topology optimization with large deformation

This work addresses the treatment of lower density regions of structures undergoing large deformations during the design process by the topology optimization method (TOM) based on the finite element method. During the design process the nonlinear elastic behavior of the structure is based on exact kinematics. The material model applied in the TOM is based on the solid isotropic microstructure with penalization approach. No void elements are deleted and all internal forces of the nodes surrounding the void elements are considered during the nonlinear equilibrium solution. The distribution of design variables is solved through the method of moving asymptotes, in which the sensitivity of the objective function is obtained directly. In addition, a continuation function and a nonlinear projection function are invoked to obtain a checkerboard free and mesh independent design. 2D examples with both plane strain and plane stress conditions hypothesis are presented and compared. The problem of instability is overcome by adopting a polyconvex constitutive model in conjunction with a suggested relaxation function to stabilize the excessive distorted elements. The exact tangent stiffness matrix is used. The optimal topology results are compared to the results obtained by using the classical Saint Venant–Kirchhoff constitutive law, and strong differences are found.

Design methodology of piezoelectric energy-harvesting skin using topology optimization

Abstract This paper describes a design methodology for piezoelectric energy harvester s that thinly encapsulate the mechanical devices and expl oit resonances from higher- order vibrational modes. The direction of polarization determines the sign of the pi ezoelectric tensor to avoid cancellations of electric fields from opposite polarizations in the same circuit. The resultant modified equations of state are solved by finite element method (FEM). Com- bining this method with the solid isotropic material with penalization (SIMP) method for piezoelectric material, we have developed an optimization methodology that optimizes the piezoelectric material layout and polarization direc- tion. Updating the density function of the SIMP method is performed based on sensitivity analysis, the sequen- tial linear programming on the early stage of the opti- mization, and the phase field method on the latter stage

Numeric reconstruction of cytoskeleton with finite element method and topology optimization method

The importance of mechanical aspects related to cell activity and its environment is becoming more evident due to their influence in stem cell differentiation and in the development of diseases such as atherosclerosis. The mechanical tension homeostasis is related to normal tissue behavior and its lack may be related to the formation of cancer, which shows a higher mechanical tension. Due to the complexity of cellular activity, the application of simplified models may elucidate which factors are really essential and which have a marginal effect. The development of a systematic method to reconstruct the elements involved in the perception of mechanical aspects by the cell may accelerate substantially the validation of these models. This work proposes the development of a routine capable of reconstructing the topology of focal adhesions and the actomyosin portion of the cytoskeleton from the displacement field generated by the cell on a flexible substrate. Another way to think of this problem is to develop an algorithm to reconstruct the forces applied by the cell from the measurements of the substrate displacement, which would be characterized as an inverse problem. For these kind of problems, the Topology Optimization Method (TOM) is suitable to find a solution. TOM is consisted of an iterative application of an optimization method and an analysis method to obtain an optimal distribution of material in a fixed domain. One way to experimentally obtain the substrate displacement is through Traction Force Microscopy (TFM), which also provides the forces applied by the cell. Along with systematically generating the distributions of focal adhesion and actin-myosin for the validation of simplified models, the algorithm also represents a complementary and more phenomenological approach to TFM. As a first approximation, actin fibers and flexible substrate are represented through two-dimensional linear Finite Element Method. Actin contraction is modeled as an initial stress of the FEM elements. Focal adhesions connecting actin and substrate are represented by springs. The algorithm was applied to data obtained from experiments regarding cytoskeletal prestress and micropatterning, comparing the numerical results to the experimental ones

Magnetic topology and current channels in plasmas with toroidal current density inversions

The equilibrium magnetic field inside axisymmetric plasmas with inversions on the toroidal current density is studied. Structurally stable non-nested magnetic surfaces are considered. For any inversion in the internal current density the magnetic families define several positive current channels about a central negative one. A general expression relating the positive and negative currents is derived in terms of a topological anisotropy parameter. Next, an analytical local solution for the poloidal magnetic flux is derived and shown compatible with current hollow magnetic pitch measurements shown in the literature. Finally, the analytical solution exhibits non-nested magnetic families with positive anisotropy, indicating that the current inside the positive channels have at least twice the magnitude of the central one.

Equilibrium topology for plasmas with reversed current density.

Actually, transition from positive to negative plasma current and quasi-steady-state alternated current (AC) operation have been achieved experimentally without loss of ionization. The large transition times suggest the use of MHD equilibrium to model the intermediate magnetic field configurations for corresponding current density reversals. In the present work we show, by means of Maxwell equations, that the most robust equilibrium for any axisymmetric configuration with reversed current density requires the existence of several nonested families of magnetic surfaces inside the plasma. We also show that the currents inside the nonested families satisfy additive rules restricting the geometry and sizes of the axisymmetric magnetic islands; this is done without restricting the equilibrium through arbitrary functions. Finally, we introduce a local successive approximations method to describe the equilibrium about an arbitrary reversed current density minimum and, consequently, the transition between different nonested topologies is understood in terms of the eccentricity of the toroidal current density level sets.

Development of heat sink device by using topology optimization

Small scale fluid flow systems have been studied for various applications, such as chemical reagent dosages and cooling devices of compact electronic components. This work proposes to present the complete cycle development of an optimized heat sink designed by using Topology Optimization Method (TOM) for best performance, including minimization of pressure drop in fluid flow and maximization of heat dissipation effects, aiming small scale applications. The TOM is applied to a domain, to obtain an optimized channel topology, according to a given multi-objective function that combines pressure drop minimization and heat transfer maximization. Stokes flow hypothesis is adopted. Moreover, both conduction and forced convection effects are included in the steady-state heat transfer model. The topology optimization procedure combines the Finite Element Method (to carry out the physical analysis) with Sequential Linear Programming (as the optimization algorithm). Two-dimensional topology optimization results of channel layouts obtained for a heat sink design are presented as example to illustrate the design methodology. 3D computational simulations and prototype manufacturing have been carried out to validate the proposed design methodology.

Fourier-transform rheology on anionically synthesised polymer melts and solutions of various topology

Aim of this thesis was to further extend the applicability of the Fourier-transform (FT) rheology technique especially for non-linear mechanical characterisation of polymeric materials on the one hand and to investigated the influence of the degree of branching on the linear and non-linear relaxation behaviour of polymeric materials on the other hand. The latter was achieved by employing in particular FT-rheology and other rheological techniques to variously branched polymer melts and solutions. For these purposes, narrowly distributed linear and star-shaped polystyrene and polybutadiene homo-polymers with varying molecular weights were anionically synthesised using both high-vacuum and inert atmosphere techniques. Furthermore, differently entangled solutions of linear and star-shaped polystyrenes in di-sec-octyl phthalate (DOP) were prepared. The several linear polystyrene solutions were measured under large amplitude oscillatory shear (LAOS) conditions and the non-linear torque response was analysed in the Fourier space. Experimental results were compared with numerical predictions performed by Dr. B. Debbaut using a multi-mode differential viscoelastic fluid model obeying the Giesekus constitutive equation. Apart from the analysis of the relative intensities of the harmonics, a detailed examination of the phase information content was developed. Further on, FT-rheology allowed to distinguish polystyrene melts and solutions due to their different topologies where other rheological measurements failed. Significant differences occurred under LAOS conditions as particularly reflected in the phase difference of the third harmonic, Ħ3, which could be related to shear thinning and shear thickening behaviour.

Neural network activity in the neonatal acute slice, slice culture and cell culture

Information processing and storage in the brain may be presented by the oscillations and cell assemblies. Here we address the question of how individual neurons associate together to assemble neural networks and present spontaneous electrical activity. Therefore, we dissected the neonatal brain at three different levels: acute 1-mm thick brain slice, cultured organotypic 350-µm thick brain slice and dissociated neuronal cultures. The spatio-temporal properties of neural activity were investigated by using a 60-channel Micro-electrode arrays (MEA), and the cell assemblies were studied by using a template-matching method. We find local on-propagating as well as large- scale propagating spontaneous oscillatory activity in acute slices, spontaneous network activity characterized by synchronized burst discharges in organotypic cultured slices, and autonomous bursting behaviour in dissociated neuronal cultures. Furthermore, repetitive spike patterns emerge after one week of dissociated neuronal culture and dramatically increase their numbers as well as their complexity and occurrence in the second week. Our data indicate that neurons can self-organize themselves, assembly to a neural network, present spontaneous oscillations, and emerge spatio-temporal activation patterns. The spontaneous oscillations and repetitive spike patterns may serve fundamental functions for information processing and storage in the brain.

The C-4-Dicarboxylate carriers DcuB and DctA of Escherichia coli: function as cosensors and topology

Das fakultativ anaerobe Enterobakterium Escherichia coli nutzt C4-Dicarboxylate sowohl unter aeroben als auch anaeroben Bedingungen als Kohlenstoff- und Energiequelle. Die Aufnahme der C4-Dicarboxylaten und die Energiekonservierung mittels Fumaratatmung wird durch das Zweikomponentensystem DcuSR reguliert. Die Sensorhistidinkinase DcuS und der nachgeschaltete Responseregulator DcuR aktivieren bei Verfügbarkeit von C4-Dicarboxylaten die Expression der Gene für den Succinat Transporter DctA, den anaeroben Fumarat/Succinat Antiporter DcuB, die Fumarase B sowie die Fumaratreduktase FrdABCD. Die Transportproteine DctA und DcuB wiederum regulieren die Expression der DcuSR-abhängigen Gene negativ. Fehlen von DctA oder DcuB resultiert bereits ohne Effektor in einer maximalen Expression von dctA bzw. dcuB. Durch gerichtete und ungerichtete Mutagenese wurde gezeigt, dass die Transportfunktion des Carriers DcuB unabhängig von seiner regulatorischen Funktion ist. DcuB kann daher als Cosensor des DcuSR Systems angesehen werden.rnUnter Verwendung von Reportergenfusionen von C-terminal verkürzten Konstrukten von DcuB mit der Alkalischen Phosphatase und der β-Galactosidase wurde die Topologie des Multitransmembranproteins DcuB bestimmt. Zusätzlich wurde die Zugänglichkeit bestimmter Aminosäurereste durch chemische Modifikation mit membran-durchlässigen und membran-undurchlässigen Thiolreagenzien untersucht. Die erhaltenen Ergebnisse deuten auf die Existenz eines tief in die Membran reichenden, hydrophilen Kanal hin, welcher zum Periplasma hin geöffnet ist. Mit Hilfe der Topologie-Studien, des Hydropathie-Blots und der Sekundärstruktur-Vorhersage wurde ein Modell des Carriers erstellt. DcuB besitzt kurze, periplasmatisch liegende Proteinenden, die durch 12 Transmembranhelices und zwei große hydrophile Schleifen jeweils zwischen TM VII/VIII und TM XI/XII verbunden sind. Die regulatorisch relevanten Reste K353, T396 und D398 befinden sich innerhalb von TM XI sowie auf der angrenzenden cytoplasmatischen Schleife XI-XII. Unter Berücksichtigung der strukturellen und funktionellen Aspekte wurde ein Regulationsmodell erstellt, welches die gemeinsam durch DcuB und DcuS kontrollierte C4-Dicarboxylat-abhängige Genexpression darstellt. rnDer Effekt von DctA und DcuSR auf die Expression einer dctA´-´lacZ Reportergenfusion und auf die aerobe C4-Dicarboxylat-Aufnahme wurde untersucht. In-vivo FRET-Messungen weisen auf eine direkte Wechselwirkung zwischen dem Carrier DctA und dem Sensor DcuS hin. Dieses Ergebnis stützt die Theorie der Regulation von DcuS durch C4-Dicarboxylate und durch die Cosensoren DctA bzw. DcuB mittels direkter Protein-Protein Interaktion.rn

Valutazione della qualità delle immagini e della dose in multi-slice computed tomography per l'ottimizzazione dei protocolli clinici che impiegano sistemi di modulazione automatica

In questo studio ci siamo proposti di investigare i sistemi di modulazione automatica della dose sui sistemi TC Multislice (Automatic Exposure Control – AEC) da tre diversi produttori, aventi differenti indicatori di qualità delle immagini. Il presente lavoro è stato svolto presso il Servizio di Fisica Sanitaria dell’Azienda Ospedaliera Universitaria - Policlinico Sant’Orsola-Malpighi di Bologna e consiste in un’analisi quantitativa della dose impiegata durante esami di Tomografia Computerizzata Multi-Slice (TCMS) e delle rispettive immagini radiologiche. Le immagini sono state acquisite con : GE LightSpeed VCT 64 e GE LightSpeed 16 (AEC AutomA 3D longitudinale e angolare), Siemens Sensation 16 (AEC CARE Dose 4D combinato), Philips Brilliance 16 e iCT 64 (separati in AEC ZDOM longitudinale e AEC DDOM angolare). Le acquisizioni TCMS sono state effettuate a differenti kV e mA di riferimento, al fine di investigarne gli effetti sulla modulazione, impiegando algoritmi di ricostruzione standard presenti su ogni macchina. Due fantocci antropomorfi simulanti la zona del torace e dell’addome sono stati utilizzati per simulare un paziente standard posizionato come in un esame clinico di routine ; a questo proposito, sono stati impiegati protocolli elicoidali standard con e senza modulazione. Sono inoltre stati testati differenti valori di indice di qualità delle immagini. Il profilo dei mA lungo la lunghezza è stato ottenuto utilizzando ImageJ, un programma open source comunemente utilizzato per l’elaborazione di immagini; i mAs sono stati normalizzati ad un fattore che tiene conto delle differenti geometrie e delle filtrazioni dei diversi scanner tomografici analizzati nell’esperienza. Il rumore è stato valutato tramite la scelta di determinate ROI (Region Of Interest) localizzate in aree il più possibili uniformi disponibili lungo i fantocci. Abbiamo registrato che una variazione del Noise Index o dei mAs di riferimento a seconda della tipologia di macchina analizzata risulta in uno shift dei profili di dose; lo stesso si è verificato quando sono stati cambiato kV o mA nella scout di acquisizione. Sistemi AEC longitudinali e combinati hanno mostrato profili di mAs normalizzati simili tra loro, con valori elevati evidenziati nella zona delle spalle e zona pelvi; sono state osservate differenze del 30-40% tra i differenti scanner tomografici. Solo in un caso di macchina analizzata si è verificato un comportamento opposto rispetto alle altre due tipologie di macchina in esame. A dispetto della differente natura dei sistemi AEC, i risultati ottenuti dai protocolli combinati e longitudinali sono simili tra loro. Il rumore presente nelle immagini è aumentato ad un livello accettabile e la sua uniformità lungo la direzione di scan è migliorata.

Caratterizzazione dosimetrica e di qualità immagine del tomografo Philips Brilliance ICT 256-slice

In questo lavoro, svolto presso l'Istituto Scientifico Romagnolo per lo Studio e la Cura dei Tumori (I.R.S.T.) (I.R.C.C.S) di Meldola, si sono studiate le caratteristiche di un tomografo Philips Brilliance iCT 256 strati, con l'obiettivo di individuare le variazioni di qualità delle immagini e di dose in funzione dei parametri di acquisizione dello strumento, al fine di una successiva ottimizzazione dei protocolli degli esami tomografici. Le valutazioni sono state fatte sul tomografo multistrato Philips mediante uso di diversi fantocci e dosimetri, seguendo le linee guida della pubblicazione per il controllo di qualità in tomografia computerizzata dell'International Atomic Energy Agency (IAEA). Si è utilizzato il fantoccio Catphan per la caratterizzazione della qualità dell'immagine, acquisendo immagini sia in modalità assiale che spirale e variando parametri di acquisizione quali spessore di strato, kV, mAs e pitch. Per le varie combinazioni di questi parametri sono state misurate, mediante l'utilizzo dei software ImageJ ed ImageOwl, grandezze oggettive quali risoluzione spaziale, risoluzione a basso contrasto e rumore dell'immagine acquisita. Due fantocci di polimetilmetacrilato (PMMA) head e body sono serviti, insieme ad una camera a ionizzazione di tipo pencil, per la misura di indici di dose per la tomografia computerizzata (CTDI). L'irraggiamento di questi strumenti è stato effettuato a diversi valori di tensione del tubo radiogeno e ha permesso di confrontare i valori CTDI misurati con quelli forniti dal tomografo. Si sono quindi calcolate le dosi efficaci di alcuni protocolli della macchina per poi confrontarle con livelli di riferimento diagnostici (DRL), strumenti utilizzati con l'obiettivo di raggiungere valori di dose adeguati per lo scopo clinico dell'esame. Come ulteriore valutazione dosimetrica, si è utilizzato il fantoccio antropomorfo Rando, in cui sono stati inseriti dei dosimetri a termoluminescenza (TLD) per la misura della dose organo. Dai risultati si osserva un andamento inversamente proporzionale tra tensione del tubo radiogeno e contrasto dell'immagine. Impostando valori alti di kV si ottiene però un'immagine meno rumorosa. Oltre alla tensione del tubo, si è valutato come anche lo spessore di strato e la corrente influiscano sul rumore dell'immagine. I risultati ottenuti dimostrano che i valori dei parametri oggettivi di qualità delle immagini rientrano nei limiti di attendibilità, così come i valori di CTDI visualizzati dal tomografo. Lo studio della dipendenza di questi parametri oggettivi dalle impostazione di scansione permette di ottimizzare l'acquisizione TC, ottenendo un buon compromesso fra dose impartita e qualità dell'immagine.