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京都大学 / 新制・課程博士 / 博士(工学) / 甲第23873号 / 工博第4960号 / 新制||工||1775(附属図書館) / 京都大学大学院工学研究科建築学専攻 / (主査)教授 大崎 純, 教授 池田 芳樹, 准教授 藤田 皓平 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DFAM

京都大学 / 0048 / 新制・課程博士 / 博士(工学) / 甲第21753号 / 工博第4570号 / 新制||工||1712(附属図書館) / 京都大学大学院工学研究科機械理工学専攻 / (主査)教授 西脇 眞二, 教授 松原 厚, 教授 黒瀬 良一 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DFAM

With the development of the deforestation industry and the increased demand for sawn goods and woods over the world, created a need for more efficient harvesting methods, a need that was represented by mechanized harvesters and forwarders in forestry. These machines are efficient when it comes to mass production and can cut and delimb trees of all sizes and kinds. Still, these machines are large and heavy ,which causes high damage to the soil around the machinery. This causes ground disturbance. A new approach is to construct more specific light machines that are used to cut and delimb small trees without damaging the soil. The new harvester machine can minimize the use of the traditional big, mechanized harvesters. The project goal is to minimize the weight of the bearing structure of the harvester to increase the performance at the expense of robustness. In this master thesis, the biggest and heaviest bearing component is “the main plate” that carries most of the components is chosen to be optimized and remodeled. This master thesis is divided into two parts: ● The impact forces measurements created by delimbing. ● Optimization, redesign and material investigation to decrease the mass of the main plate. The first step was to design and manufacture a test rig, find an approach to measure the impact force, perform a structural test to 3 thicknesses of blades, execute the experiment and validate the results to estimate the maximum impact force. The measured forces are used to perform structural analysis, topology optimization and result validation using ANSYS, a new optimized model has been created from the optimization results using Solid Edge and a material investigation was performed using GRANTA CES EduPack. Finally, the mass of the main plate is reduced by 82% after the material removal and application of a new material alternative. / Med utvecklingen av avskogning industrin och den ökade efterfrågan på sågade gods och skogar över hela världen skapades ett behov för effektivare avverkningsmetoder. Detta behov representerades i mekaniserade skördare och skotare i skogsbruket. Dessa maskiner är effektiva när det gäller massproduktion och kan skära alla typer och storlekar av träd. Dock är dessa maskiner stora och tunga vilket orsakar stora skador på jorden runt maskinerna. Detta orsakar störningar i marken. Ett nytt tillvägagångssätt är att konstruera mer specifika lätta maskiner som används för att skära små träd utan att skada jorden. Den nya skördemaskinen kan minimera användningen av de traditionella stora, mekaniserade skördarna. Projektets syfte är att minimera vikten av skördarens bärande struktur för att öka prestandan på bekostnad av robusthet. I detta examensarbete är den största och tyngsta bärande strukturen huvudplattan som bär de flesta komponenterna vald för att optimeras och ommodelleras. Detta examensarbete är uppdelad i två delar: ● Mätning av slagkraft. ● Optimering, ommodellering och materialundersökning för att minska massan på huvudplattan. Det första steget var att konstruera och tillverka en testrigg, hitta en metod för att mäta slagkrafterna, utföra en strukturell provning till 3 tjocklekar på bladen, utföra experimentet och validera resultaten för att uppskatta den maximala slagkraften. De uppmätta krafterna används för att utföra strukturanalys, topologioptimering och resultatvalidering med ANSYS, en ny optimerad modell har skapats från optimeringsresultaten med Solid Edge och materialundersökning utfördes med GRANTA CES EduPack. Slutligen, massan av huvudplattan minskade med 82 % efter materialborttagning och applicering av ett nytt materialalternativ.

High-accuracy electromagnetic design and analysis of electric machines is enhanced by the use of various numerical methods. These methods solve Maxwell’s equations to determine the distribution of the electric and magnetic fields throughout the considered machine structure. Due to the complicated architectures of the machines and the nonlinearity of the utilized magnetic materials, it is a very challenging task to obtain an analytical solution and, in most cases, only a numerical solution is possible. The finite element method (FEM) is one of the standard numerical methods for electromagnetic field analysis. The considered machine domain is divided into finite elements to which the field equations are applied. FEM solvers are utilized to develop optimization procedures to assist in achieving a design that meets the required specifications without violating the design constraints. The design process of electric machines involves adjusting the machine parameters. This is usually done through experience, intuition, and heuristic approaches using FEM software which gives results for various parameter changes. There is no guarantee that the achieved design is the optimal one. An alternative approach to the design of electric machines exploits robust gradient-based optimization algorithms that are guaranteed to converge to a locally-optimal model. The gradient-based approaches utilize the sensitivities of the performance characteristics with respect to the design parameters. These sensitivities are classically calculated using finite difference approximations which require repeated simulations with perturbed parameter values. The cost of evaluating these sensitivities can be significant for a slow finite element simulation or when the number of parameters is large. The adjoint variable method (AVM) offers an alternative approach for efficiently estimating response sensitivities. Using at most one extra not-iterative simulation, the sensitivities of the response to all parameters are estimated. Here, a MATLAB tool has been developed to automate the design process of switched reluctance motors (SRMs). The tool extracts the mesh data of an initial motor model from a commercial FEM software, JMAG. It then solves for magnetic vector potential throughout the considered SRM domain using FEM taking into consideration the nonlinearity of the magnetic material and the motor dynamic performance. The tool calculates various electromagnetic quantities such as electromagnetic torque, torque ripple, phase flux linkage, x and y components of flux density, air-region stored magnetic energy, phase voltage, and phase dynamic currents. The tool uses a structural mapping technique to parametrize various design parameters of SRMs. These parameters are back iron thickness, teeth height, pole arc angle, and pole taper angle of both stator and rotor. Moreover, it calculates the sensitivities of various electromagnetic quantities with respect to all these geometric design parameters in addition to the number of turn per phase using the AVM method. The tool applies interior point optimization algorithm to simultaneously optimize the motor geometry, number of turns per phase, and the drive-circuit control parameters (reference current, and turn-on and turn-off angles) to increase the motor average dynamic torque. It also applies the ON/OFF topology optimization algorithm to optimize the geometries of the stator teeth for proper distribution of the magnetic material to reduce the RMS torque ripple. A 6/14 SRM has been automatically designed using the developed MATLAB tool to achieve the same performance specifications as 6110E Evergreen surface-mounted PM brushless DC motor which is commercially available for an HVAC system. / Thesis / Doctor of Philosophy (PhD)

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This thesis presents the design of multifunctional structures through the optimal placement of nanomaterial additives. Varying the concentration of Carbon Nanotubes (CNTs) in a polymer matrix affects its local effective properties, including mechanical stiffness, electrical conductivity, and piezoresistivity. These local properties in turn drive global multifunctional performance objectives. A topology optimization algorithm determines the optimal distribution of CNTs within an epoxy matrix in an effort to design a set of structures that are capable of performing some combination of mechanical, electrical, or peizoresistive functions. A Pareto-Based Restart Method is introduced and may be used within a multi-start gradient based optimization to obtain well defined multiobjective Pareto Fronts. A linear design variable filter is used to limit the influence of checkerboarding. The algorithm is presented and applied to the design of beam cross-sections and 2D plane stress structures. It is shown that tailoring the location of even a small amount of CNT (as low as 2 percent and as high as 10 percent, by volume) can have significant impact on stiffness, electrical conductivity, and strain-sensing performance. Stiffness is maximized by placing high concentrations of CNT in locations that either maximize the bending rigidity or minimize stress concentrations. Electrical conductivity is maximized by the formation of highly conductive paths between electrodes. Strain-sensing is maximized via location of percolation volume fractions of CNTs in high strain areas, manipulation of the strain field to increase the strain magnitude in these areas, and by avoiding negative contributions of piezoresistivity from areas with differing net signed strains. It is shown that the location of the electrodes can affect sensing performance. A surrogate model for simultaneous optimization of electrode and topology is introduced and used to optimize a 2D plane stress structure. This results in a significant increase in sensing performance when compared to the fixed-electrode topology optimization. / Ph. D. / This dissertation presents a method that allows for the best placement of a limited amount of filler material within a base matrix material to form an optimal composite structure. Adding filler material, in this case Carbon Nanotubes, can change the effective behavior of the composite structure, enhancing the capabilities of the base matrix material by adding structural stiffness, electrical conductivity, and even the ability for the structure to measure its own strains. The degree to which these changes occur is dependent on the amount of filler material present in any given subsection of the structure. The method then is focused on determining how much of the filler to place in different subsections of the structure to maximize several measures of performance. These measures pertain to structural performance, electrical conductivity, and the structure’s ability to sense strains. Steps are taken within the method to remove non-physical designs and also to find the overall best design, called the global minima. The method is applied to several test structures of varying complexity, and it is shown that the optimization method can heavily influence performance by tailoring the filler material distribution. Further electrical and sensing performance gains can be obtained by properly selecting where the electrodes are located on the structure. This is demonstrated by including electrode placement in the design method along with the filler distribution.

Shear-acting structural fuses are steel plates with cutouts subjected to in-plane lateral displacements during extreme loading events such as earthquakes, that dissipate energy through localized shear or flexural yielding mechanisms. Although previous studies have reported that fuses with specific geometry can develop a stable hysteretic behavior, their small thickness makes them prone to buckling, reducing strength and energy dissipation capacity. In this work, topology optimization using genetic algorithms is performed to find optimized shapes for structural fuses with a square domain and constant thickness. The objective function uses the fuse's shear buckling load VB obtained from a 3D linear buckling analysis, and shear yield load VY obtained from a material nonlinear, but geometrically linear 2D plane-stress analysis. The two analyses are shown to be computationally efficient and viable for use in the optimization routine. The variations VY/VB=0.1,0.2,0.3 are investigated considering a target volume equal to 30%, 40% and 50% the fuse's original volume. A new set of optimized topologies are obtained, interpreted into smooth shapes, and evaluated using finite elements analyses with models subjected to monotonic and cyclic displacements histories. It was found that the drift angle when out-of-plane buckling occurs can be controlled using the VY/VB ratio, with optimized topologies buckling at drift angles (when subjected to a cyclic displacement protocol) as large as 9% as compared to 6% for previously studied fuses. / Master of Science / Shear-acting structural fuses are steel plates with cutouts that dissipate energy during extreme loading events such as earthquakes. These structural fuses have a fixed edge and an opposing edge subjected to in-plane lateral displacements. Although previous studies have reported that fuses with specific geometry have a good cyclic performance, their small thickness makes them prone to bend or buckle, reducing strength and energy dissipation capacity. Considering a structural fuse with a square domain and constant thickness, a mathematical method called topology optimization is implemented to optimize the distribution of material with the goal of controlling the amount of yielding in the structural fuse before it buckles. The optimization routine uses the fuse’s shear buckling capacity (VB) and shear yield strength (VY ) obtained from relative simple and computationally inexpensive procedures that are also valid to characterize the potential for buckling in a structural fuse. The variations VY /VB = 0.1, 0.2, 0.3 are investigated considering a target volume equal to 30%, 40% and 50% the fuse’s original volume. A set of optimized topologies are interpreted into smooth shapes and evaluated using finite elements analyses. It was found that the drift angle when out-of-plane buckling occurs can be controlled by using the VY /VB ratio, with optimized topologies buckling at drift angles (when subjected to a cyclic displacement protocol) as large as 9% as compared to 6% for previously studied fuses.

A Tomografia de Impedância Elétrica é uma técnica de obtenção de imagens do interior de um corpo, mediante grandezas elétricas medidas em sua superfície. Matematicamente, a técnica determina as distribuições de condutividades e permissividades elétricas num dado modelo do corpo, as quais reproduzem as medidas de correntes e potenciais elétricos em eletrodos fixados ao corpo. Nesse caso, as distribuições de condutividades e permissividades representam a solução de um problema não-linear e mal-posto, o qual é instável e apresenta mínimos locais, requerendo técnicas de inversão específicas. Um sistema de Tomografia de Impedância Elétrica aplicado à obtenção de imagens de valores absolutos possui, atualmente, limitações. São algumas delas a obtenção de distribuições de propriedades suaves e de valores geralmente subestimados, a sensibilidade elevada ao erro de posicionamento dos eletrodos (com relação ao modelo) e ao erro nos valores de parâmetros de contato, a sensibilidade elevada aos ruídos de medição, os tempos elevados de processamento, dentre outros. Com o intuito de abordar as limitações, melhorando o desempenho do sistema de Tomografia de Impedância Elétrica de imagens absolutas, são então propostas e avaliadas ferramentas baseadas no Método de Otimização Topológica no atual trabalho. Mais especificamente, avaliam-se: 1) um método para obtenção de parâmetros de contato em conjunto com uma imagem e um método de regularização baseado no controle explícito da variação espacial da imagem, 2) uma formulação para acomodação de incertezas, 3) uma formulação para correção do posicionamento de eletrodos, 4) uma formulação para projeto de eletrodos e 5) um novo solucionador de sistemas lineares de larga escala. Os resultados mostram a efetividade da maioria das técnicas propostas, e sugerem os novos tópicos de pesquisa em Tomografia de Impedância Elétrica. / Electrical Impedance Tomography images the interior of a body based on electrical quantities measured on the surface of it. Mathematically, the technique finds the electric admittivity distribution in a given body model which reproduces the boundary measurements of electric currents and potentials on electrodes attached to that body. Therefore, the admittivity distribution is the solution of a non-linear and ill-posed problem, which is unstable and have local minima, requiring specific inversion techniques. Electrical Impedance Tomography systems which obtain images corresponding to absolute values present limitations. For instance, the results are usually smooth and underestimated, the sensitivity to errors in the positioning of electrodes and wrong values of contact parameters and the sensitivity to measurement noise are high, the data processing time is high, etc. In this work, techniques based on the Topology Optimization Method intended for improving the performance of the particular Electrical Impedance Tomography system applied to absolute images are proposed and evaluated. More specifically, the following techniques are evaluated: 1) a method intended to obtain contact parameters together with images, and a regularization method based on the explicit control of the spatial variation regarding the image, 2) a formulation applied to handle uncertainties, 3) a formulation applied to correct the position of electrodes, 4) a formulation applied to design electrodes, 5) and a new solver for large-scale linear systems. Results show the effectiveness of most of the proposed techniques, and suggest new research topics in Electrical Impedance Tomography.