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      • A Thermo-Elasto-Hydrodynamic (Tehd) Computational Analysis for the Force Performance of Self-Equalizing Tilting Pad Thrust Bearings

        Koosha, Rasool Texas A&M University ProQuest Dissertations & Thes 2020 해외박사(DDOD)

        RANK : 247343

        A self-equalizing tilting pad thrust bearing (TPTB) improves operation reliability by adjusting its pads to accommodate thrust collar tilt, and hence removing a source of frequent wearing. Although recent literature states the need, predictive models for self-equalizing TPTBs are not available due to the complexity of their geometry. To date published analyses limit to a few highly simplified analytical models. Nonetheless, a bearing manufacturer recently presented a complicated finite element model but excluded the fluid film analyses. The dissertation builds a thermo-elasto-hydrodynamic (TEHD) analysis tool and couples with a model for the pads leveling mechanism to deliver load performance predictions for self-equalizing TPTBs.The dissertation presents predictions for an example self-equalizing TPTB operating with a 0.01 thrust collar static misalignment and which equals to 75% of the nominal minimum film thickness when the bearing operates under 2 MPa/pad load and with a perfectly aligned thrust collar. The bearing has six pads with 63 mm in inner diameter (ID) and 126 mm in outer diameter (OD), operates at 4krpm (maximum surface speed = 26 m/s) and under a specific load/pad ranging from 0.5 to 3.5 MPa. Compared to a regular (non-equalizing) TPTB, a self-equalizing TPTB operates with up to 50% larger minimum film thickness and a roughly 1/2 of peak elastic deformation. Friction forces acting at the contact points of the leveling plates show a significant effect on the performance of the pad leveling system as they reduce the film clearance and increase a pad peak pressure. Predictions show a significantly large peak pressure at the contact points of the leveling plates (> 0.9 GPa) when the bearings operate under a 3 MPa/pad specific load. The present work thus shows the importance of performing a comprehensive multiple-pad analysis to accurately evaluate the performance of self-equalizing TPTBs hence assuring their safe operation.This dissertation further implements a flow starvation model into the TEHD computational analysis tool to deliver load performance predictions for TPTB operating with reduced flow rate. The work builds a model for the groove flow thermal mixing that determines the temperature of the lubricant entering a thrust pad for bearings operating with either reduced or over-flooded flow conditions. Unlike the hot oil carry-over model, the present model accounts for the churning oil in bearings with end-seals configuration. Under a starved flow condition, the analysis iteratively reduces the effective arc length of a wetted pad until matching the available flow.The analysis considers an example TPTB with ID= 122 mm and OD=267 mm, 38° pad arc length, operating at 4 krpm and 10 krpm (maximum surface speed ROΩ = 54-135 m/s), and under a specific load per pad from 0.7 MPa to 3.4 MPa. The bearing is supplied with 25% to 150% of the predicted nominal flow rate as well as with a flow rate recommended in the literature (~170% to 420% nominal).A supply flow rate above the nominal rate, increases the bearing drag torque but has little effect on the pad peak temperature rise or the pad minimum film thickness. A reduced flow, below the nominal rate, produces areas denuded of oil at both the pad leading edge and trailing edge, and thus the pad minimum film thickness substantially decreases while the film peak pressure largely increases. At 4 krpm and under a heavy load of 3 MPa/pad, the pad subsurface temperature rise almost doubles with a 30% nominal flow and exceeds the Babbitt critical temperature = 130°C. Also, compared to a flooded flow bearing, a starved flow bearing shows a larger axial stiffness coefficient but a much lesser axial damping coefficient. Despite a significant increase in the bearing drag torque, the recommended flow rate does not lead to either a notable increase in the minimum film thickness nor to a decrease in the maximum pad temperature rise.At a high rotor speed of 10 krpm, the example TPTB with a flooded configuration (with end-seals) operates with up to 11 μm lesser minimum film thickness, a 10°C larger pad maximum temperature rise, and a 11% larger bearing axial stiffness compared to those in an identical bearing but with evacuated configuration (without end-seals). The bearing ends configuration, however, shows marginal influence on the bearing performance at a low speed of 4 krpm.In sum, the dissertation introduces simple and effective models to deliver load performance predictions for self-equalizing TPTBs and TPTBs supplied with reduced flow rates. In particular, the dissertation advances the state-of-the-art by pioneering a computational analysis model for self-equalizing TPTBs and produces unique knowledge on their load performance characteristics.

      • A Computational Framework for Modeling Belief-Based Decision Making

        Khalvati, Koosha University of Washington ProQuest Dissertations & 2021 해외박사(DDOD)

        RANK : 247342

        Existing computational models of decision making are often limited to particular experimental setups. The limitation is mainly due to the inability to capture the decision maker's uncertainty about the situation. We propose a computational framework for studying decision making under uncertainty in neuroscience and psychology. Our framework is heavily focused on the probabilistic assessment of the decision maker, i.e., their "belief", about the state of the world. Specifically, it is based on Partially Observable Markov Decision Processes (POMDPs), which combines Bayesian reasoning and reward maximization to choose actions. We demonstrate the viability of our belief-based decision making framework using data from various experiments in perceptual and social decision making. Our framework explains the relationship between decision makers' actual performance and their belief about it, called decision confidence, in perceptual decision making experiments. It also shows why this assessment could deviate from reality in many situations. Such deviations have been often interpreted as evidence for sub-optimal decision making or distinct processes that underlie choice and confidence. Our framework challenges these interpretations by showing that a normative Bayesian decision maker optimizing the gained reward elicits the same discrepancies. Moreover, our method outperforms existing models in quantitatively predicting human behavior in a social decision making task and provides insight into the underlying process. Our results suggest that in decision making tasks involving large groups, humans employ Bayesian inference to model the "group's mind" and make predictions of others' decisions. Finally, we extend our method to multiple reasoning levels about others (levels of theory of mind) and make the connection to conformity as a strategy for decision making in groups. This extended framework can explain human actions in various collective group decision making tasks, providing a new theory for cooperation and coordination in large groups.

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