The dynamic and static performance of a flexure-pivot tilting pad bearing is presented at a load between pad configuration for various load and speed combinations. A similar work performed on the same bearing at lower loads ranging from 0-1 MPa (0-150 psi) by Al-Ghasem was tested, whereas the current work investigates effects in the load range between 1-2.2 MPa (150-320 psi). The bearing design parameters include: 4 pads with pad arc angle 72º and 50% pivot offset, pad axial length 0.0762 m (3 in), pad radial clearance 0.254 mm (0.010 in), bearing radial clearance 190.5 µm (0.0075 in), preload 0.25, and shaft nominal diameter of 0.11684 m (4.600 in). An important distinction between the two sets of tests is the difference in experimental bearing radial clearance, which for this case measured 208 µm (0.00082 in), and for Al-Ghasem’s was 165.1 µm (0.0065 in). The rotordynamic coefficients are determined experimentally using a test rig equipped with motion and load sensors. The rig is modeled using Newton’s laws, which is converted from the time to frequency domain using Fourier Transform to give complex dynamic stiffnesses. From the resulting complex dynamic stiffnesses the associated real and imaginary components are plotted as a function of excitation frequency and curve fitted via linear regression to give the rotordynamic coefficients. The primary objectives were to determine whether the real component of the complex dynamic stiffnesses could be better modeled with or without the mass coefficient and to contrast the rotordynamic coefficients with an analytical model. Only in the load range of 1 to 2.2 MPa were the unloaded direct mass coefficients near or at 0, which would allow for a [K][C] model to be used. The remaining real components are better represented with the mass term. The analytical model generally overpredicted the stiffness, damping and mass coefficients, especially for the direct components; the trends were generally consistent.

This essays purpose is to accentuate the meaning of the knowledge of the design elements color, form and texture in the hair design education. Both the Bauhaus school and Pivot Point education campaign close knowledge in color, form and texture. In my study of the literature I compared the Bauhaus school with Pivot Point International Inc, study material for hair design education. From the similarities in this material I develop a project in color, form and texture. This was a teaching test for students in the hair design education at the upper secondary. My conclusion is that you, already in this first semester, can see which students who have the design interest and touch. In my discussion I have, with inspiration from The Bauhaus school and Pivot Point education, some suggests for the future in hair design education in the upper secondary.

Most tilting pad journal bearing dynamic characteristics estimation methodologies assume perfect shaft tracking by the pads. In other words, they neglect pivot friction. In case of pads having point or line contact that operate under most normal load conditions, the pad tilting is due to a rocking motion which is not greatly influenced by friction. Hence this simplifying assumption might be acceptable. Heavier loading conditions, such as those typically encountered in gearboxes, demand the use of spherical pivots to avoid pivot failure. The spherical pivot is very attractive for this reason, but the tilting motion is rather a sliding action that must occur in the precision ball socket. A valid concern exists for verifying the soundness of assumed shaft tracking by the pads of such bearings. A "fixed test bearing, floating shaft" type of test rig previously built for determining the dynamic characteristics of bearings was accordingly modified to facilitate the testing of shaft tracking for a spherical pivot bearing. This thesis describes the modifications carried out on the rig. The special instrumentation and data acquisition systems implemented to observe the minute pad motion are also discussed. Some preliminary results of the tests are presented for various loading conditions. They show excellent shaft tracking by the pads. More detailed testing and analysis of data is required to fully understand the pad motion and tracking ability of the spherical pivot design. / Master of Science

A novel tilting pad journal bearing model including pivot flexibility as well as temporal fluid inertia effects on the thin film fluid flow aims to accurately predict the bearing forced performance. The predictive model also accounts for the thermal energy transport effects in a TPJB. A Fortran program with an Excel GUI models TPJBs and delivers predictions of the bearing static and dynamic forced performance. The calculation algorithm uses a Newton-Raphson procedure for successful iterations on the equilibrium pad radial and transverse displacements and journal center displacements, even for bearings pads with very soft pivots. The predictive model accounts for the effect of film temperature on the operating bearing and pad clearances by calculating the thermal expansion of the journal and pad surfaces. The pad inlet thermal mixing coefficient (lambda) influences moderately the predicted fluid film temperature field. Pad pivot flexibility decreases significantly and dominates the bearing stiffness and damping coefficients when the pivot stiffness is lower than 10% of the fluid film stiffness coefficients (with rigid pivots). Pivot flexibility has a more pronounced effect on reducing the bearing damping coefficients than the stiffness coefficients. Pad pivot flexibility may still affect the bearing behavior at a light load condition for a bearing with a large pad preload. Pad pivot flexibility, as well as the fluid inertia and the pads’ mass and mass moment of inertia, could influence the bearing impedance coefficients, in particular at high whirl frequencies. The stiffness and damping coefficients of a TPJB increase with a reduction in the operating bearing and pad clearances. The work delivers a predictive tool benchmarked against a number of experimental results for test bearings available in the recent literature. The static and dynamic forced performance characteristics of actual TPJBs can not be accurately predicted unless their pad flexibility and pivot flexibility, fluid film temperature, pad inlet thermal mixing coefficient, operating bearing and pad clearances, among others are well known in advance. However, the extensive archival literature showcasing test procedures and experimental results for TPJBs does not report the above parameters. Thus, reasonable assumptions on the magnitude of certain elusive parameters for use in the predictive TPJB model are necessary.

Master of Science / Department of Biological & Agricultural Engineering / Danny H. Rogers / Recent innovations in the irrigation industry indicate a transition to more water efficient and uniform systems. This transition is necessary to preserve limited aquifer resources used by irrigation systems in the U.S. Great Plains where center pivot irrigation has become the dominant irrigation method. New in-canopy sprinkler packages have allowed these center pivot systems to operate more efficiently and uniformly, however, these in-canopy sprinklers hang low in the canopy and have the potential to become entangled in crop biomass and detach from the center pivot. Detached in-canopy sprinklers can impact the uniformity of the irrigation system resulting in decreased crop yields by disrupting the designed flow and pressure requirements of the sprinkler package. Therefore, it is crucial that producers detect and replace missing in-canopy sprinklers immediately. The current method to detect missing in-canopy sprinklers is manual inspection along the center pivot which uses significant time and labor. A monitoring system to alert the user of any detachments can eliminate unnecessary exploration and direct the user to the specific location of the detached in-canopy sprinkler. A prototype in-canopy sprinkler monitoring system was designed to monitor in-canopy sprinklers on a center pivot irrigation system and alerts the user when and where an in-canopy sprinkler becomes detached from the center pivot span. The system utilizes three major components to accomplish this task: a master controller node, a series of sprinkler nodes, and a digital compass node. The master controller node requests the status of in-canopy sprinklers from each connected sprinkler node, which constantly monitors its connected in-canopy sprinkler, and if a sprinkler is found to be missing alerts the user via an SMS text message sent to their cell phone that the in-canopy sprinkler is missing and can be found at specific geographic coordinates. The master controller node calculates the geographic coordinates of the detached in-canopy sprinkler by requesting the current compass bearing angle of the center pivot span from the digital compass node. This angle, combined with the known coordinates of the pivot point of the center pivot system and radius of the detached in-canopy sprinkler from the pivot point can be used to calculate the coordinates of the detached in-canopy sprinkler. To test the performance of the designed system, it was connected to a demonstration center pivot and several trials were performed. The demonstration center pivot consisted of a rotatable span with eight detachable drop hoses and in-canopy sprinklers. Trials performed were designed to test the system’s ability to react to detached in-canopy sprinklers and drop hoses, detect and identify issues that might arise during normal operation, and respond to user’s SMS text messages with the proper system information as part of the user interface. The system successfully passed each set of trials ensuring that this prototype will accurately detect when and where an in-canopy sprinkler becomes detached and promptly alert the user.

No description available.

Master of Science / Department of Biological & Agricultural Engineering / Gary A. Clark / This report presents the methods to determine the minimum number of collectors to accurately measure the coefficient of uniformity and the average depth of applied water from fixed plate and moving plate center pivot sprinkler irrigation systems. This research conducted an uniformity analysis and an average depth analysis. In the uniformity analysis, catch can collected data from center pivot system tests were divided into base sets of 60 data points. Each base set was further divided into subsets of 30 data points each. T-tests were used to compare the CU values from the base data sets with CU values from each of the subsets. In the average depth analysis, center pivot system catch can data were divided into base sets with 20 data points. Each base data set was divided into 19 subsets. The 1st subset was generated by removing an exterior data point from the base set which was identified by number 1. The 2nd subset was generated by removing other exterior data point (identified by number 20) from the previously generated subset (1st subset). In this manner, a total of 19 subsets for each base set were generated by removing an exterior point from each previous subset. The percent difference (change) in average depth of each subset from the value of the average depth of the base set was calculated. The percent difference in average depth was then plotted against the associated number of collectors. Both analyses documented that a decrease in the number of collectors from the original density of collectors is acceptable to determine the uniformity and averaged depth of applied water from center pivot spans. Results from the uniformity analysis demonstrated that 20 collectors were as effective as 60 collectors to quantify the uniformity of a system. The depth analysis showed that 9 to 12 collectors may be needed to measure the average depth of a system (or a portion of a system) to within 5% to 7.5% of the true value.

This thesis explores how to develop new lifting equipment for the membrane and filter plates of the VPA (Metso) machine satisfying all the safety requirements. The VPA is a heavy duty machine with a number of plates, developed for filtration of minerals. The plates must be replaced or removed immediately once the wear has reached a given value or an error has been detected. The new lifting system differs to a great extent from conventional system in which a fiber strap was used; the designed lifting equipment comprises of a variety of parts resulting in a higher capacity to be used ín different situations safer and satisfies the vital requirements such as being a secure and cost-effective method, issued by the customers. Several solution proposals have been developed to offer better proposals before the final candidate has been selected and theoretically motivated with FEM analysis as well as analytical calculations. Keywords - VPA, membrane and filter plate, lifting equipment, pivot supporter hinge, safety, cost effective

Static performance and rotordynamic coefficients are provided for a rocker-pivot, tilting-pad journal bearing with 50 and 60 percent offset pads in a load-between-pad configuration. The bearing uses leading-edge-groove lubrication and has the following characteristics: 5-pads, 101.6 mm (4.0 in) nominal diameter, .0814 - .0837 mm (.0032 - .0033 in) radial bearing clearance, .25 to .27 preload, 60.325 mm (2.375 in) axial pad length. Operating conditions included loads from 0 to 3101 kPa (450 psi) and speeds from 7 to 16 krpm. Dynamic tests were conducted over a range of frequencies to obtain complex dynamic stiffness coefficients as functions of excitation frequency. For most test conditions, the direct real dynamic stiffnesses were well fitted with a quadratic function with respect to frequency. This curve fit allowed for the stiffness frequency dependency to be captured by including an added mass matrix [M] to a conventional [K][C] model, producing a frequency independent [K][C][M] model. The direct imaginary dynamic stiffness coefficients increased linearly with frequency, producing frequency independent direct damping coefficients. Compared to the 50 percent offset, the 60 percent offset configuration’s direct stiffness coefficients were larger at light unit loads. At high loads, the 50 percent offset configuration had a larger direct stiffness in the loaded direction. Negative direct added-mass coefficients were regularly obtained for both offsets, especially in the unloaded direction. Added-mass magnitudes were below 32 kg for all test cases. No appreciable difference was measured in direct damping coefficients for both pivot offset. A bulk-flow Navier-Stokes CFD code provided rotordynamic coefficient predictions. The following stiffness and damping prediction trends were observed for both 50 and 60 percent offsets. The direct stiffness coefficients were modeled well at light loads and became increasingly over-predicted with increasing unit load. Stiffness orthotropy was measured at zero and light load conditions that was not predicted. Direct damping predictions in the loaded direction increased significantly with unit load while the experimental direct damping coefficients remained constant with load. The direct damping coefficients were reasonably modeled only at the highest test speed of 16 krpm. Experimental cross-coupled stiffness coefficients were larger than predicted for both offsets, but were of the same sign and considerably smaller than the direct coefficients.

Emerging financial and environmental challenges associated with conventional power sources have increased global interest in consuming unpolluted, renewable energy sources for irrigation sector. Solar energy may be an attractive choice in this regard due to its strong influence on crop water use and related energy requirement. However, a comprehensive approach for a reliable and economically viable photovoltaic (PV) system design to produce energy from solar source is required to accurately explore its potential. This thesis describes the development and application of a reliability assessment model, identifies a suitable solar irrigation management scheme, and provides guidelines for evaluating economic viability of a solar-powered center pivot irrigation system. The reliability model, written in MATLAB, was developed based on the loss of power supply probability (LPSP) technique in which various sub-models for estimating energy production, energy requirement and energy storage were combined. The model was validated with actual data acquired from the study site located at Outlook, Saskatchewan, Canada and an excellent agreement was found. For example, normalized root mean square error (NRMSE) for the battery current was found to be 0.027. Irrigation management strategies (irrigation depth, frequency and timing) were investigated by comparing the PV system sizing requirement for a conventional (25-35 mm per application) and for a frequent light irrigation management strategy (5-8 mm per application). The results suggest that the PV sizing can be reduced significantly by adopting frequent light irrigations which utilize the power as it is produced during daylight hours, rather than relying on stored energy. The potential of a solar-powered center pivot irrigation system was revealed for three different crops (canola, soybean and table potato) at the site by conducting a detailed economic analysis for the designed PV system. High value crops with moderate water requirements such as table potatoes appeared to be the most feasible choice for the study site. However, the potential may greatly vary for different crops in altered locations due to management, agronomic, climate, social, and economic variations. It can be concluded that a holistic approach described here can be used as a tool for designing an appropriate PV powered center pivot irrigation system under variable operating and meteorological conditions. Furthermore, its potential can be accurately explored by conducting a detailed economic analysis for a given location, considering different available crop choices.