Tb6FeSb2 and Tb6FeBi2 are novel rare earth compounds with little prior research. These compounds show high and variable curie temperatures for rare-earth compounds. This has lead to a literature review which includes the discussion of: elasticity, resonance, and magnetism. This review is used to discuss the theory and methodology which can relate these various properties to each other. Furthermore, synthesis, x-ray analysis, and RUS sample preparation of Tb6FeSb2 and Tb6FeBi2 were completed. Resonant Ultrasound Spectroscopy (RUS) elastic studies were taken for Tb6FeSb2 and Tb6FeBi2 as a function temperature from 5-300K, in various magnetic fields ranging from 0-9T. Tb6FeSb2’s and Tb6FeBi2’s elastic moduli are related to their magnetic properties. Magnetization data, primarily M v. H, provides another measure the magnetic properties are used to help correlate the data to elasticity. Tb6FeSb2 and Tb6FeBi2 Curie temperatures are 253(3)K and 246(5)K respectively. The low temperature magnetic transition of Tb6FeSb2 is 65-90K and Tb6FeBi2 is 55-75K. RUS suggests that this low temperature transition is somehow related to a structural transition but this transition does not occur in these two compounds. Co-substitution of Tb6FeSb2 and Tb6FeBi2 seem to greatly affect this lower temperature transition in RUS. It does not greatly effect the curie temperature. Low temperature XRD shows that Co-substitution also creates a structural transition in this family of compounds.

The aerospace industry is utilizing low cost miniature inertial measurement units (IMUs) that employ Micro Electro-Mechanical Systems (MEMS) technology in an effort to reduce size, weight, and cost of systems. A drawback of these MEMS devices is they are sensitive to vibration, shock and acoustic environments, which limits the usefulness of such devices in the severe environments imposed by many aerospace applications. In an effort to reduce the vibration, shock and acoustic environments experienced by these MEMS devices, the desire to develop passive damping treatments to structural components used to mount these devices. The damping treatments can be applied at the printed circuit board (PCB) level, the component level, the component interface, or at the airframe level. The purpose is to reduce the overall environment and improve the usefulness and performance of the MEMS based sensors. The primary technique to introduce damping into metallic parts and PCBs is to provide a viscoelastic coating or layer. The ability to analyze structures with this configuration requires a thorough understanding of the dynamic properties. Hooke’s law of elasticity is one of the most fundamental relationships governing dynamic properties. Metals typically have a low damping coefficient, and Hooke’s law of elasticity represents a linear relationship between the ratio of stress and strain, known as the modulus of elasticity. But for viscous materials the modulus of elasticity becomes a complex value since the stress and strain are not in phase. The complex modulus of elasticity is a complex function of frequency. The complex modulus can be established via frequency response function measurements of compliance, mobility, and accelerance, and the dimensions of the block of material under test. At low frequencies (less than resonance of the block) the results are relatively straight forward, but at higher frequencies where resonances of the block occur the inertial forces begin to influence the FRF results. This thesis effort establishes techniques for measuring the complex moduli associated with viscoelastic materials, and presents methods and results from modulus tests conducted for this thesis.

Tb6FeSb2 and Tb6FeBi2 are novel rare earth compounds with little prior research. These compounds show high and variable curie temperatures for rare-earth compounds. This has lead to a literature review which includes the discussion of: elasticity, resonance, and magnetism. This review is used to discuss the theory and methodology which can relate these various properties to each other. Furthermore, synthesis, x-ray analysis, and RUS sample preparation of Tb6FeSb2 and Tb6FeBi2 were completed. Resonant Ultrasound Spectroscopy (RUS) elastic studies were taken for Tb6FeSb2 and Tb6FeBi2 as a function temperature from 5-300K, in various magnetic fields ranging from 0-9T. Tb6FeSb2’s and Tb6FeBi2’s elastic moduli are related to their magnetic properties. Magnetization data, primarily M v. H, provides another measure the magnetic properties are used to help correlate the data to elasticity. Tb6FeSb2 and Tb6FeBi2 Curie temperatures are 253(3)K and 246(5)K respectively. The low temperature magnetic transition of Tb6FeSb2 is 65-90K and Tb6FeBi2 is 55-75K. RUS suggests that this low temperature transition is somehow related to a structural transition but this transition does not occur in these two compounds. Co-substitution of Tb6FeSb2 and Tb6FeBi2 seem to greatly affect this lower temperature transition in RUS. It does not greatly effect the curie temperature. Low temperature XRD shows that Co-substitution also creates a structural transition in this family of compounds.

This dissertation is an investigation of dolphin sound production and distribution off west central Florida. Although a wealth of information exists on the production of common sounds (whistles, echolocation) made by captive, trained dolphins, far less is known about free-ranging dolphin sound production and of unusual sounds. In addition, while inshore dolphin populations or communities are the subjects of research projects in many locations, dolphins in offshore waters are less commonly studied. The objectives of this dissertation were to contribute information on free-ranging dolphin sounds and continental shelf dolphin distribution. While echolocation has been rigorously studied in captive, trained dolphins, there is far less known about how free-ranging dolphins use their echolocation. In order to investigate the use of echolocation by free-ranging dolphins, echolocation recordings from 14 groups of common bottlenose dolphins (Tursiops truncatus) were obtained during towed hydrophone cruises on the West Florida Shelf (WFS) and in Tampa Bay. The mean echolocation pulse rate was inversely related to water depth, suggesting echolocation pulse rate was a function of the two-way travel time of echolocation pulses, which was related to depth. Pulse rate modes were related to potential target distances, and indicated dolphins were commonly echolocating on targets up to at least 91.8 m away. The results of this study indicate that free-ranging bottlenose dolphins are using their echolocation in a manner similar to that found in studies with captive, trained dolphins. Unusual low frequency sounds from bottlenose dolphins were found in the towed hydrophone recordings in Tampa Bay, and the acoustic properties and behavioral contexts of these sounds were investigated. Additional recordings were obtained from Sarasota Bay and Mississippi Sound. These low frequency narrow-band (LFN) sounds were tonal, had peak frequencies between 500 Hz and 1000 Hz, and were produced in trains. Inter-LFN intervals (the time duration between sequential LFN sounds) were significantly longer in recordings from Mississippi Sound. Sounds were correlated with social behavior, and were common during socio-sexual behavior. These sounds were found below optimal hearing range of bottlenose dolphins, and are prone to masking by boats. A combination of autonomous acoustic recorders and visual surveys were used to determine the distribution and sound production patterns on the WFS. Visual surveys supported the results of previous studies indicating that bottlenose dolphins were more common in coastal areas and off of Tampa Bay, while Atlantic spotted dolphins (Stenella frontalis) were more common beyond the 20 m isobath. A single group of rough-toothed dolphins (Steno bredanensis) was observed. Overall, dolphin numbers decreased from inshore to offshore. Acoustic detections mirrored this distribution pattern, however acoustic detections were not as high in coastal regions as expected from the visual survey results, which suggests low sound production rates by coastal dolphins. Atlantic spotted dolphin numbers increased in more northern and inshore waters in spring, suggesting a seasonal migration pattern. Peaks in dolphin sounds in the coastal regions were commonly observed in daylight and evening hours, while in offshore areas sound production peaked at night. This pattern likely reflects foraging activity, and the diel activity cycles of common prey species. Coastal dolphins made proportionately more echolocation than whistles, while the opposite was true for deeper water dolphins. In inshore waters (< 25 m depth), dolphin sound production was generally positively correlated to water temperature (bottom temperature and sea surface temperature) and negatively correlated with chlorophyll, while the opposite pattern tends to occur in deeper waters (> 35 m). This delineation roughly coincides with the distribution patterns of oceanographic properties, prey species distribution, and the distribution of Atlantic spotted dolphins and bottlenose dolphin ecotypes. These results suggest a shift from a benthic based ecosystem to a phytoplankton based ecosystem with increasing depth on the WFS.

This work is primarily comprised of five self-contained papers. Three papers are applications oriented. A common element in the first three papers is that micro-perforated panels (MPP), the permeable membranes in diesel particulate filters, and a source impedance are all modeled as a transfer impedance. The first paper deals with enhancing the performance of micro-perforated panels by partitioning the backing cavity. Several different backing schemes are considered which enhance the performance without increasing the total volume of the MPP and backing. In the second paper, a finite element modeling approach is used to model diesel particulate filters below and above the plane wave cutoff frequency. The filter itself is modeled using a symmetric finite element model and results are compared to plane wave theory. After the transfer matrix of the filters is known, it is used in three-dimensional finite and boundary element models. The third paper is a tutorial that shows how a source impedance can be modeled using transfer impedance approaches in finite element analysis. The approach used is useful for better understanding the resonance effects caused by pipes upstream and downstream of the exhaust. The fourth paper examines the best practice for the two-load transmission loss measurement. This method was integral to obtaining the measurements for validating the diesel particulate filter models. The fifth paper proposes transmission and insertion loss metrics for multi-inlet mufflers. It is shown that the transmission loss depends on the amplitude and phase relationship between sources (at the inlets) whereas insertion loss depends on both the source strength and impedance for each inlet.

This thesis presents rules that characterize the root locus for polynomials that are nonlinear in the root-locus parameter k. Classical root locus applies to polynomials that are affine in k. In contrast, this thesis considers polynomials that are quadratic or cubic in k. In particular, we focus on constructing the root locus for linear feedback control systems, where the closed-loop denominator polynomial is quadratic or cubic in k. First, we present quadratic root-locus rules for a controller class that yields a closed-loop denominator polynomial that is quadratic in k. Next, we develop cubic root-locus rules for a controller class that yields a closed-loop denominator polynomial that is cubic in k. Finally, we extend the quadratic root-locus rules to accommodate a larger class of controllers. We also provide controller design examples to demonstrate the quadratic and cubic root locus. For example, we show that the triple integrator can be high-gain stabilized using a controller that yields a closed-loop denominator polynomial that is quadratic in k. Similarly, we show that the quadruple integrator can be high-gain stabilized using a controller that yields a closed-loop denominator polynomial that is cubic in k.

The prediction of sound generated from fluid flow has always been a difficult subject due to the nonlinearities in the governing equations. However, flow noise can now be simulated with the help of modern computation techniques and super computers. The research presented in this thesis uses the computational fluid dynamics (CFD) and the acoustic finite element method (FEM) in order to simulate the whistle noise caused by vortex shedding. The acoustic results were compared to both analytical solutions and experimental results to better understand the effects of turbulence models, fluid compressibility, and wall boundary meshes on the acoustic frequency response. In the case of the whistle, sound power and pressure levels are scaled since 2-D models are used to model 3-D phenomenon. The methodology for scaling the results is detailed.

Soft trim absorbing parts (i.e., headliners, backwalls, side panels, etc.) are normally comprised of different layers including films, adhesives, foams and fibers. Several approaches to determine the complex wavenumber and characteristic impedance for porous sound absorbing materials are surveyed and the advantages and disadvantages of each approach are discussed. It is concluded that the recently documented three-point method produces the smoothest results. It is also shown that measurement of the flow resistance and the use of empirical equations is sufficient for many common materials. Following this, the transfer impedance of covers, adhesives, and densified layers are measured using an impedance difference approach. The transfer matrix method was then used to predict the sound absorption of a multi-layered materal which included a perforated cover, fiber layers, and an adhesive. The predicted results agree well with measurement.

Precisely measuring the flow rate in sprayers is a key technology to precision agriculture. With the development of advanced technologies, the demand for the ability to measure flow rate of individual nozzle has become more important and urgent. This paper investigates the possibility of developing a low-cost flow rate measurement technique. The technique is based on analyzing the acoustic signal from a microphone placed near the nozzle tip. A comparison between acoustic signal and vibration signal was made to study the relations between them. Then several possible locations of the microphone for measuring flow rate were tested and compared, and one has been chosen as the best location. After that, two methods of analyzing data were proposed, one that could better describe the original curve was chosen. With all of that work done, further experiments were conducted on a variety of nozzle tips. The results showed that an acoustic sensor could be used as an indicator of flow rate from a nozzle, but that unique calibrations for different nozzle tips would be necessary.

The development of a robotic slit-lamp for remote ophthalmology is the primary purpose of this work. In addition to novel mechanical designs and implementation, it was also a goal to develop a control system that was flexible enough to be adapted with minimal user adjustment to various styles and configurations of slit-lamps. The system was developed with intentions of commercialization, so common hardware was used for all components to minimize the costs. In order to improve performance using this low-cost hardware, investigations were made to attempt to achieve better performance by applying control theory algorithms in the system software. Ultimately, the controller was to be flexible enough to be applied to other areas of human-robot interaction including pediatric rehabilitation via the use of humanoid robotic aids. This application especially requires a robust controller to facilitate safe interaction. Though all of the prototypes were successfully developed and made to work sufficiently with the control hardware, the application of advanced control did not yield notable gains as was hoped. Further investigations were made attempting to alter the performance of the control system, but the components selected did not have the physical capabilities for improved response above the original software implemented. Despite this disappointment, numerous novel advances were made in the area of teleoperated ophthalmic technology and pediatric physical rehabilitation tools. This includes a system that is used to remote control a slit-lamp and lens for examinations and some laser procedures. Secondly, a series of of humanoid systems suitable for both medical research and therapeutic modeling were developed. This included a robotic face used as an interactive system for ophthalmic testing and training. It can also be used as one component in an interactive humanoid robotic system that includes hands and arms to allow use of teaching sign language, social skills or modeling occupational therapy tasks. Finally, a humanoid system is presented that can serve as a customized surrogate between a therapist and client to model physical therapy tasks in a realistic manner. These systems are all functional, safe and low-cost to allow for feasible implementation with patients in the near future.