Thesis (Ph.D.)--Tufts University, 2001. / Adviser: Chris Davis. Submitted to the Dept. of Electrical Engineering. Includes bibliographical references (leaves 94-101). Access restricted to members of the Tufts University community. Also available via the World Wide Web;

Thesis (M. S.)--Mechanical Engineering, Georgia Institute of Technology, 2009. / Committee Chair: Zinn, Ben T.; Committee Member: Book, Wayne; Committee Member: Glezer, Ari; Committee Member: Neumeier, Yedidia; Committee Member: Seitzman, Jerry.

Magnetic, magnetocaloric, magnetotransport and magnetoelastic properties of Ni-Mn-X (X = In, and Ga) Heusler alloys and La-Fe-Si based rare earth compounds have been synthesized and investigated by x-ray diffraction, magnetization, strain, and electrical resistivity measurements. The phase transitions, magnetic, magnetocaloric, magnetotransport and magnetoelastic properties strongly depend on the composition of these systems. In Ni50Mn50-xInx with x = 13.5, magnetocaloric and magnetotransport properties associated with the paramagnetic martensitic to paramagnetic austenitic transformation were studied. It was shown that magnetic entropy changes (SM) and magnetoresistance (MR) associated with this transformation are larger and the hysteresis effect is significantly lower when compared to that associated with paramagnetic-ferromagnetic transitions or ferromagnetic-antiferromagnetic/paramagnetic transitions in other systems. The Hall resistivity and the Hall angle shows unusual behavior in the vicinity of the martensitic phase transition for Ni50Mn50-xInx with x = 15.2. The observed Hall resistivity and Hall angle are 50 μ*cm and , respectively. It was observed that the presence of Ge, Al and Si atoms on the In sites strongly affects the crystal structure, and the electric and magnetic behaviors of Ni50Mn35In15. It was found that the partial substitution of In atoms by Si in Ni50Mn35In15 results in an increase in the magnetocaloric effect, exchange bias and shape memory effect. In Ni50Mn35In15-xSix, the peak values of positive SM for magnetic field changes H = 5 T were found to depend on composition and vary from 82 Jkg-1K-1 for x = 1 (at T = 275 K) to 124 Jkg-1K-1 for x = 3 (at T = 239 K). The partial substitution of Ni by Co in Ni50Mn35In15 significantly improves the magnetocaloric effect and MR in the vicinity of martensitic transition. In addition, significantly large inverse SM and MR were observed at the inverse martensitic phase transitions of the Ga-based magnetic shape memory Heusler alloys Ni50-xCoxMn32-yFeyGa18. The phase transition temperatures and magnetic properties were found to be correlated with the degree of tetragonal distortion in these samples. In LaFe11.57Si1.43Bx the crystal cell parameters and Curie temperatures were found to increase linearly with increasing B concentration up to ~ 0.1 % and 9 %, respectively. It was found that the characteristics of the magnetocaloric effect of LaFe11.57Si1.43 can be adjusted by a change in B concentration in the LaFe11.57Si1.43Bx system. A study of the influence of a small substitution of Ni, Cu, Cr, and V for Fe in LaFe11.4Si1.6 revealed that the magnetic, magnetocaloric, and magnetovolume coupling constant is related to an increase in the average Fe-Fe interatomic distances, leading to a change in the d-d exchange interaction.

Neste trabalho foram obtidas barras da liga (Fe0,80Al0,20)97B3 por solidificação direcional (SD), nos diâmetros de 3 e 4 mm, com o objetivo de melhorar a magnetostricção desse material através da introdução de textura. As etapas de produção das barras envolveram a fabricação de lingotes da liga por fusão a arco L1, L2 e L6, seguida de usinagem (U) ou forjamento rotativo (F) a quente. O maior comprimento de barra obtido foi de 50 mm. Através de microscopia eletrônica de varredura e análise de composição por espectroscopia de energia dispersiva, detectou-se a presença de boro nas amostras pela visualização do microconstituinte eutético formado da fase ? e da fase Fe2B. Resultados obtidos por difração de raios X indicam que a amostra da liga L1 para o diâmetro de 4 mm apresentou orientação preferencial nas direções , o que causou uma diminução expressiva da magnetostricção se comparada a da amostra do mesmo lingote para o diâmetro de 3 mm. Medidas de magnetização em função do campo magnético aplicado (Ha) indicaram que a magnetização de saturação das amostras que têm boro são em média 181 Am2/kg, sugerindo que as amostras tem ~ 2% de B. A barras obtidas por SD, tratadas termicamente (CTT) a 1100°C por 6 h, alcançaram uma maior magnetostricção (? = ?l/l), comparada as amostras sem tratamento térmico (STT), no qual o maior valor foi de 73 ? 10-6 na direção longitudinal da barra L1 forjada no diâmetro de 3 mm (L1F3-CTT). O maior fator de sensibilidade d?/dH obtido em função do comprimento da barra L1F3 foi de d?/dH = 0,9 x 10-9 m/A para a razão de aspecto ? = 12. Valor da constante anisotrópica K1 calculada a partir dos resultados experimentais se comparadas com dados da literatura, sugerem que em algumas amostras ocorre ordenamento parcial da fase cúbica da matriz, havendo assim a coexistência das fases Fe3Al (D03) e ?. / In this work, bars of the alloy (Fe0,80Al0,20)97B3 were obtained by directional solidification (DS) in diameters of 3 and 4 mm, with the goal of improving the magnetostriction of the material through the introduction of texture. Production steps of the bars involved the manufacture of the alloy ingots, L1, L2, L6, by arc melting, then machining (M) or hot swaging (F). The greatest length that was achieved in a bar was 50 mm. The presence of boron in the samples was identified by scanning electron microscopy and energy dispersive spectroscopy, due to the presence of an eutectic microstructure that has dendrites and a microconstituent formed of phases ? and Fe2B. Results obtained by X-ray diffraction indicates that the bar L1 at the diameter of 4 mm showed preferential orientation in the directions , which caused a significant decrease of the magnetostriction compared to the same sample of the bar of diameter 3 mm. Magnetization measurements as a function of applied magnetic field (Ha) reveal that the saturation magnetization of the samples having boron is in average 181 Am2/kg, suggesting that the samples have ~ 2% of boron. The bars obtained by DS, thermally treated (CTT ) at 1100 ° C for 6 h, achieved higher magnetostrictions (? = ?l/l) compared to the samples without heat treatment.The highest value was 73 ? 10-6 was obtained in the longitudinal direction of the bar L1F in the diameter of 3 mm (L1F3-CTT). The maximum sensitivity factor d?/dH found as a function of the bars lengths was d?/dH = 0.9 x 10-9 m/A for an aspect ratio of ? = 12. Values of anisotropic constant K1, calculated using experimental results suggest that in some samples occur partial ordering of the cubic phase matrix , so there is the coexistence of phases Fe3Al ( D03 ) and ?.

D.Phil. / Spin-density-wave (SDW) effects were studied in diluted Cr-Si and Cr-Ga alloy single cristals. Ga and Si impurities in Cr are respectively from groups 3 and 4 non-magnetic non-transitional elements from the periodic table. Both influence the magnetic behaviour of Cr in a special way. The alloying of Cr with Si and Ga impurities influences the magnetic phase transition temparatures, namely the Néel temparature (Tn) and the transition temparature (T1c) for the incommensurate to commensurate (C) SDW transition, in a very complex way. The magnetic phase diagrams of both Cr-Si and Cr-Ga show a triple phase where the paramegnetic (P), CSDW and ISDW phases co-exist.

Ph.D. / Spin—density—wave (SDW) effects are investigated in four dilute Cr—Ir alloy single crystals. The Ir concentrations in these crystals were chosen to cover all four magnetic phases existing on the magnetic phase diagram of the Cr—Ir system. Thermal expansion, electrical resistivity, elastic constants and ultrasonic attenuation are studied as functions of temperature and alloy concentration. The elastic constants are also studied as a function of applied hydrostatic pressure. The SDW effects in the Cr—Ir system are compared with those in other Cr alloys. The full temperature—concentration and temperature—pressure magnetic phase diagrams of the Cr—Ir system are determined. Existing theories are used to discuss the observations. The following major observations are made: Magnetoelastic interactions in Cr—Ir alloys are very large, resulting in well defined magnetic anomalies in the elastic constants and thermal expansion at all magnetic phase transition temperatures. Elastic constant measurements as a function of temperature appear to be a very sensitive tool to determine the magnetic phase transition temperatures of the Cr—Ir alloy system. Below TN of Cr—Ir alloys, where TN is the transition temperature from the incommensurate transverse spin—density-wave (TISDW) magnetic phase to the paramagnetic phase, elastic constant and thermal expansion measurements show the existence of hysteresis effects, which are probably due to a redistribution of antiferromagnetic domains. These hysteresis effects are the first evidence of such effects in Cr alloys. Spin fluctuation effects are shown to exist to temperatures well above the Neel temperatures of the Cr—Ir alloys. Analyses of the data for electrical resistivity measurements of Cr—Ir alloys show that the fraction of the electron and hole Fermi surface sheets that nests is roughly the same in the ISDW and CSDW (commensurate spin—density—wave) phases, making the resistivity anomaly near the ISDW—CSDW transition temperature very small or non—existing. Measurements of elastic constants as a function of applied pressure at different constant temperatures are shown to be a very powerful tool for an investigation of the interaction of the SDW with the acoustic phonons in dilute Cr—Ir alloys. It is found that the SDW in Cr—Ir alloys couples mainly with the longitudinal—mode acoustic phonons. Coupling to the shear—mode phonons is relatively small. Empirical correspondence is found between the temperature—concentration and temperature— pressure magnetic phase diagrams of the dilute Cr—Ir alloy system by using a linear scaling between pressure and concentration. Existing thermodynamic models fit the experimental results for the elastic constants and magnetovolume of the Cr—Ir alloys well. The main features of the temperature—concentration and temperature—pressure magnetic phase diagrams of the Cr—Ir alloy system are resonably well predicted by existing microscopic theories.

M.Sc. / Spin-density-wave (SDW) effects are investigated in a Cr + 1.9 at.% Fe alloy single crystal, where the Fe concentration lies just below the triple point found in the temperatureconcentration magnetic phase diagram of the Cr-Fe alloy system. The crystal is expected to undergo a commensurate (C) SDW to an incommensurate (I) SDW phase transition at a temperature Tc, and an ISDW-P (paramagnetic) phase transition at the Neel temperature, TN. The magnetoelastic properties and the anharmonic behaviour of this crystal were studied with the aid of velocity of sound measurements as function of temperature and pressure. Electrical transport measurements were carried out using the standard fourprobe method. In order to determine the various phases present in the crystal a preliminary neutron-diffraction study was also done. Fe belongs to the group-8 magnetic transition metals, possessing localized magnetic moments. The SDW effects in the Cr + 1.9 at.% Fe crystal are therefore compared with that of Cr-Ru and Cr-Ir alloys, as Ru and Ir also belong to the group-8 transition metals, however these impurities are nonmagnetic. The following observations were made: The longitudinal mode elastic constants and the bulk modulus show a prominent change in the slope at Tc, and a sharp, deep minimum at TN. For the c' shear propagation mode peaks were seen at Tcl as well as TN and the c4 4 propagation mode showed no anomalies at either phase transition temperatures. The longitudinal ultrasonic wave velocities for the cL propagation mode were measured as a function of temperature at different constant pressures. TN obtained from these measurements varies linearly with increasing pressure. High-pressure ultrasonic wave velocity measurements were taken at various constant temperatures in the range of 230 K to 350 K for the C L, c44 and c' propagation modes of the Cr + 1.9 at.% Fe alloy single crystal. This was used to determine the pressure derivatives of the second order adiabatic elastic constants (acu /ap). The pressure derivatives of the second order adiabatic elastic constant are shown to be a very powerful tool for investigating the interaction of the SDW with the acoustic phonons in the Cr-Fe crystal. II The long-wavelength acoustic-mode Gitmeisen parameters, calculated from (acu/ap), showed that the SDW in the Cr + 1.9 at.% Fe alloy single crystal couples mainly with the longitudinal acoustic phonons. Coupling to the shear modes is relatively small. The mean acoustic-mode GrOneisen parameter shows a small maximum between Tc, and TN. It increases on heating through TN, reaching a large maximum value above TN, and then decreases with further increase in the temperature. The electrical resistivity was measured_in the temperature region of 4 Kt() 900 K in order to obtain the nonmagnetic component of the resistivity at all temperatures. Only the Neel phase transition was observed in these measurements with no resistivity anomalies taking place at -Va. The experimental results on the resisitivity were analyzed according the model of Chui et al.. The magnetic component of the electrical resistivity was calculated from the model with and without the inclusion of the effects of resonant impurity scattering of the conduction electrons by the local impurity states lying in the SDW energy gap. The magnetic contributions were found to be appreciable above TN, even up to temperatures as high as 1.5TN. The neutron-diffraction experiments show that the Cr + 1.9 at.% Fe crystal remains in the ISDW phase at all temperatures below TN. This is an unexpected result as a CSDW-ISDW phase transition is expected at To, the temperature of the observed anomaly in elastic constant and thermal expansion measurements on the crystal

Line-of-sight stabilization of an optical instrument using magnetostnctlve actuators is described in this study. Various stabilization methods, i.e. gyroscopic, hydraulic, piezoelectric, electrodynamic and magnetostrictive methods, are compared and magnetostrictive stabilization is selected for its relatively large stroke length, low input voltage and wide frequency bandwidth. The system makes use of two magnetostrictive actuators, one at each end of the optical instrument, mounted between the moving base and instrument. Each actuator is equipped with cylindrical rods of Terfenol-D, a highly magnetostrictive material. Field coils are wound around the rods to produce a strain in the rods, thereby exciting angular motion of the instrument. Actuator stroke length is enhanced by means of a hingeless gain mechanism, rod prestressing and field biasing. Dynamic characteristics of the system are modelled to facilitate actuator, coil and control system design. A linear, single-degree-of-freedom actuator model, in state-space and transfer function forms, is derived and coupled to a distributed model of the optical instrument, using the Rayleigh-Ritz method. Transfer functions between actuator coil voltages and instrument angular acceleration are derived. Normal mode shapes, natural frequencies and damping factors are predicted. Design concepts for bias field, prestress, actuator gain and optical instrument support structure, are discussed and the most suitable concepts are selected. The required actuator gain, rod length and diameter, prestress spring stiffness, coil resistance and inductance are calculated. System components are designed in detail and safety of the design is checked. The actuators are characterized quasi-statically to determine the saturation strain, linear range of operation and DC bias field. The system is dynamically characterized to obtain transfer functions between the coil voltage and instrument angular acceleration. The test setups are described and limitations of the setups are discussed. Test results are processed and discussed. A comparison with the modelled results shows that the model is highly inaccurate. Reasons for inaccuracies are given and updating of the model is motivated. An updated model is obtained from the experimental results. The model is divided into electrical and mechanical subsystem models. The SDOF actuator models are replaced with 2DOF models (one for each actuator) and coupled to the instrument and base models, using substructure synthesis. The electrical and mechanical subsystem models are subsequently coupled. It is shown that the updated system model is considerably more accurate than the original model. A linear, suboptimal, disturbance feedforward plus output feedback controller, with output integral feedback, is designed, implemented and tested. An H2 optimal controller is designed and modified to improve robustness. The controller model is coupled to that of a suboptimal observer. An output integral feedback loop is added to further improve robustness. The controller is implemented in digital filter form. The test apparatus and procedure are described. Test results are processed and discussed. It is shown that the LOS stabilization system achieves 80% of the required isolation, over a frequency bandwidth of 0 Hz to 100 Hz. A summary of the work done, conclusions that can be drawn from the results, problems encountered and recommendations for future work, are given. / Thesis (PhD (Mechanical Engineering))--University of Pretoria, 2006. / Mechanical and Aeronautical Engineering / unrestricted

Dans le contexte du « Tout Electrique », les fabricants de l’aéronautique cherchent à augmenter la puissance embarquée tout en limitant la masse de ces dispositifs électriques. Une des solutions envisagées est d’augmenter la densité de flux magnétique des matériaux magnétiques de ces appareils. L’inconvénient de l’emploi de ces matériaux réside dans leurs déformations sous l’effet du champ magnétique. Dans le cas des noyaux magnétiques de transformateurs, ceux-ci sont composés d’un empilement d’une centaine de tôles magnétiques d’épaisseur variant entre 0,2 et 0,5mm. La déformation successive des tôles du transformateur est à l’origine d’un bruit acoustique indésirable. La source principale de ces déformations est la magnétostriction qui provient du réarrangement sous champ magnétique de la structure en domaines du matériau. Dans le cadre de ces travaux de thèse, nous nous intéressons à l’alliage Fe-27%Co produit par la société APERAM Alloys Imphy, commercialement appelé AFK1. Le choix de cet alliage provient du fait qu’il présente une aimantation à saturation la plus élevée de tous les matériaux ferromagnétiques (2,4T). Son emploi permettrait alors un gain certain de densité de puissance. Selon une gamme métallurgique particulière, l’AFK1 présente une basse magnétostriction isotrope, qui s’illustre par une déformation nulle jusqu’à 1,5T puis par une déformation à saturation de l’ordre de 10ppm. L’objectif principal de ces travaux de thèse consiste à déterminer l’origine d’un tel comportement et les mécanismes associés. Les résultats expérimentaux montrent que les conditions de traitements thermiques semblent avoir un effet sur le comportement magnétostrictif. On montre par ailleurs que la magnétostriction est indépendante de l’orientation cristallographique de l’AFK1. Des essais de magnétostriction sous contrainte mécanique ont permis de supposer que l’AFK1 disposait d’une structure en domaines principalement composée de parois à 180°. La mise en place de cette structure a pu être confirmée par microscopie magnéto-optique (effet Kerr). Afin de mieux comprendre l’origine de l’orientation des domaines dans le matériau, l’influence de la géométrie d’échantillon sur le comportement magnétostrictif a également été étudiée au cours de ces travaux de thèse. Une modélisation du comportement faiblement magnétostrictif a finalement été proposée par le biais d’une approche multi-échelle. Le modèle met en évidence la nécessité de considérer une proportion non négligeable de domaines séparés par des parois à 180° pour restituer la basse magnétostriction de l’AFK1. / The main challenge in the aeronautical field concerns the increase of higher power density electrical devices onboard aircrafts. One of the solutions proposed is to increase the magnetic flux density of magnetic materials which compose these devices. The main drawback of this solution leads in the high deformation the materials concerned exhibit under magnetic field. For example, the core of onboard transformers is composed of a stack of about hundred of magnetic steel sheets, with a thickness range between 0.2 and 0.5mm. The deformation of the entire structure leads to an unwanted acoustic noise that originates from the high magnetostriction deformation of the material deriving from the change of magnetic domains configuration under magnetic field. In this thesis work, the magnetostrictive behaviour of the Fe-27$%$Co alloy is studied. This magnetic alloy is produced and marketed by APERAM Alloys Imphy as AFK1. This material leads to a low and isotropic magnetostrictive behaviour after an appropriate metallurgical process. The deformation is null up to 1.5T and the magnetic saturation is reached with a deformation lower than 10ppm. The main goal of this thesis is to understand the origin of the low magnetostrictive behaviour and to model it. The experimental results show that thermal annealing changes significantly the magnetostriction. In addition, we prove that low magnetostriction exhibits no crystallographic orientation dependence. Magnetostriction tests carried out under a mechanical loading show that a microstructure mainly composed magnetic domains separated by 180$^circ$ domain walls can explain the behaviour. The presence of this magnetic configuration was confirmed by magneto optical microscopy observations (Kerr effect) associated with a macroscopic geometry effect and residual magnetic field in the furnaces. A multiscale modeling of the low magnetostriction has been proposed next. This modeling helps us to confirm the requirement of about 80% of grains composed of a bi-domain magnetic structure to simulate low magnetostrictive behaviour in accordance with experiments.

Vibration energy harvesting has been widely investigated by academia and industry in the past decade with focus on developing distributed power sources. One of the prime goals of energy harvesters is to provide power to wireless sensors allowing for the placement of these sensors in the remote and inaccessible areas where battery is not an option. Electromechanical modeling approaches have been developed for enhancing the mechanical to electrical conversion efficiencies utilizing electromagnetic, piezoelectric, and magnetostrictive mechanisms. Models based upon the constitutive equations for these three conversion mechanisms, supported by extensive experimental results available in literature, suggest that power requirement through energy harvesters can be met only when the total volume is in the range of 1-100 cm3. There exists a critical volume of 0.5 cm³ at which above which the electromagnetic mechanism exhibits higher power density as compared to the other mechanisms. Therefore, in this thesis electromagnetic energy conversion was adopted to develop high power energy harvesters. We also present a novel vibration energy harvesting method which rivals the power density and bandwidth of the traditional methods. The overarching theme throughout the design process was selecting the structure and fabrication methodology that facilitates the transition of the technology. The experimental models were characterized at accelerations and frequencies typically found in the environmental vibration sources. The thesis provides in-depth the design, modeling, and characterization of a vibration energy harvester which creates relative motion differently than the conventional harvesters. Conventional designs rely on amplifying the original source displacement operating at the resonance condition. In the harvester design proposed in this thesis, the relative motion is created by cancelling the vibration at one location and transferring the source vibration directly to another location by combining a vibration isolator with a vibration absorber. In this novel configuration, termed as Direct Vibration Harvester (DVH), the energy is harvested directly from the vibrating source mass rather than a vibrating seismic mass attached to the source increasing the harvesting bandwidth and power density. Four bar magnet and magnetic levitation architectures were modified and modeled to reach closer to the theoretical maximum power densities. Extensive FEM was utilized to understand the performance limitations of the existing structures and the results from this analysis paved the pathway towards the development of the DVH. �A comparative analysis of the performance of the DVH with the traditional harvesting methods in terms of normalized power output and bandwidth was conducted. Performance improvements of DVH required development of the high efficiency rotational generators as linear to rotational conversion occurs in the DVH. The optimized rotational generator was modeled and all the predicted performance metrics were validated through experiments. The generator was applied towards the fabrication of DVH and also in a micro windmill. The power density of the micro windmill was found to be better than all the other results reported in literature. Extensive fluid and structural modeling was conducted to tailor the performance of the micro windmill in the desired wind speed range. Combined, this thesis provides significant advancement on many fronts. It pushes the magnetic levitation and four-bar mechanism harvester systems to their theoretical limits. It demonstrates a novel direct vibration harvester that has the possibility of surpassing the power density and bandwidth of all the known vibration harvester with large magnitude of output power. It provides a design process for an efficient small scale electromagnetic generator that can form for the backbone of many rotational and linear harvesters. This generator was used to develop the world's highest power density micro windmill in the small wind speed range. / Ph. D.