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Helicopter aeroelastic analysis is highly complex and multidisciplinary in nature; the flexibility of main rotor blades is coupled with aerodynamics, dynamics and control systems. A key component of an aeroelastic analysis is the vehicle trim procedure. Trim requires calculation of the main rotor and tail rotor controls and the vehicle attitude which cause the six steady forces and moments about the helicopter center of gravity to be zero. Trim simulates steady level flight of the helicopter. The trim equations are six nonlinear equations which depend on blade response and aerodynamic forcing through finite element analysis. Simulating the behavior of the helicopter in flight requires the solution of this system of nonlinear algebraic equations with unknowns being pilot controls and vehicle attitude angles. The nonlinear solution procedure is prone to slow convergence and occasional divergence causing problems in optimization and stochastic simulation studies. In this thesis, an attempt is made to efficiently solve the nonlinear equations involved in helicopter trim. Typically, nonlinear equations in mathematical physics and engineering are solved by linearizing the equations and forming various iterative procedures, then executing the numerical simulation. Helicopter aeroelasticity involves the solution of systems of nonlinear equations in a computationally expensive environment. The Newton method is typically used for the solution of these equations. Due to the expensive nature of each aeroelastic analysis iteration, Jacobian calculation at each iteration for the Newton method is not feasible for the trim problems. Thus, the Jacobian is calculated only once about the initial trim estimate and held constant thereafter. However, Jacobian modifications and updates can improve the performance of the Newton method. A comparative study is done in this thesis by incorporating different Jacobian update methods and selecting appropriate damping schemes for solving the nonlinear equations in helicopter trim. A modified Newton method with varying damping factor, Broyden rank-1 update and BFGS rank-2 update are explored using the Jacobian calculated at the initial guess. An efficient and robust approach for solving the strongly coupled nonlinear equations in helicopter trim based on the modified Newton method is developed. An appropriate initial estimate of the trim state is needed for successful helicopter trim. Typically, a guess from a simpler physical model such as a rigid blade analysis is used. However, it is interesting to study the impact of other starting points on the helicopter trim problem. In this work, an attempt is made to determine the control inputs that can have considerable effect on the convergence of trim solution in the aeroelastic analysis of helicopter rotors by investigating the basin of attraction of the nonlinear equations (set of initial guess points from which the nonlinear equations converge). It is illustrated that the three main rotor pitch controls of collective pitch, longitudinal cyclic pitch and lateral cyclic pitch have significant contribution to the convergence of the trim solution. Trajectories of the Newton iterates are shown and some ideas for accelerating the convergence of trim solution in the aeroelastic analysis of helicopter are proposed.

New rotorcraft configurations are emerging, such as the optimal speed helicopter and slowed-rotor compound helicopter which, due to variable rotor speed and redundant lifting components, have non-unique trim solution spaces. The combination of controls and rotor speed that produce the best steady-flight condition is sought among all the possible solutions. This work develops the concept of optimal rotorcraft trim and explores its application to advanced rotorcraft configurations with non-unique, constrained trim solutions. The optimal trim work is based on the nonlinear programming method of the generalized reduced gradient (GRG) and is integrated into a multi-body, comprehensive aeroelastic rotorcraft code. In addition to the concept of optimal trim, two further developments are presented that allow the extension of optimal trim to rotorcraft with rotors that operate over a wide range of rotor speeds. The first is the concept of variable rotor speed trim with special application to rotors operating in steady autorotation. The technique developed herein treats rotor speed as a trim variable and uses a Newton-Raphson iterative method to drive the rotor speed to zero average torque simultaneously with other dependent trim variables. The second additional contribution of this thesis is a novel way to rapidly approximate elastic rotor blade stresses and strains in the aeroelastic trim analysis for structural constraints. For rotors that operate over large angular velocity ranges, rotor resonance and increased flapping conditions are encountered that can drive the maximum cross-sectional stress and strain to levels beyond endurance limits; such conditions must be avoided. The method developed herein captures the maximum cross-sectional stress/strain based on the trained response of an artificial neural network (ANN) surrogate as a function of 1-D beam forces and moments. The stresses/strains are computed simultaneously with the optimal trim and are used as constraints in the optimal trim solution. Finally, an optimal trim analysis is applied to a high-speed compound gyroplane configuration, which has two distinct rotor speed control methods, with the purpose of maximizing the vehicle cruise efficiency while maintaining rotor blade strain below endurance limit values.

This thesis explores the procedural generation of 3D buildings from the floor plan all the way to the fa¸cade and building’s details such as doors, windows, and roof. Through this, the study explores several techniques and approaches to create different layers of the building generation pipeline. The focus is on implementing a set of algorithms that, when running sequentially, are able to create complete 3D buildings in a short time (so they can be used in online generation), could be used in any open-world game, and with a limited count of triangles per building. Furthermore, the tool provides a clear and easy-to-use interface for designers in Unity, where they can interact with the multiple parameters of each building layer, giving designers a high degree of controllability. The tool is evaluated using the resulting buildings based on different metrics and how individual changes to different parameter starting from a template affect the output of the generator in terms of the metrics and the resulting building. The result from the analysis show that the polygon mathematics is well suited for generating 3D buildings for games.

Large marine vessels carry their loads all over the world. It can be a container ship carrying over 10 000 containers filled with foods, textiles and electronics or a bulk freighter carrying 400 000 tons of coal. Vessels usually have a ballast system that pumps water into ballast tanks to stabilize the vessel. The ballast system can be used to change the vessel’s trim and list angles. Trim and list are the ship equivalents of pitch and roll. By changing the trim angle the water resistance can be reduced and thus also the fuel consumption. Since the vessel is consuming a couple of hundred tons of fuel per day, a small reduction in fuel consumption can save a considerable amount of money, and it is good for the environment. In this thesis, the ship’s power consumption has been estimated using an artificial neural network, which is a mathematical model based on data. The name refers to certain structural similarities with the neural synapse system in animals. The idea with neural networks has been to create brain-like systems. For applications such as learning to interpret sensor data, artificial neural networks are an effective learning method. The goal is to estimate the ship power using a artificial neural network and then use it to calculate the trim angle, to be able to save fuel. The data used in the artificial neural network come from sensor systems mounted on a container ship sailing between Europe and Asia. The sensor data have been thoroughly preprocessed and this includes for example removing the parts when the ship is docked in harbour, data patching and synchronisation and outlier detection based on a Kalman filter. A physical model of a marine craft including wind, wave, hydrodynamic and hydrostatic effects, has also been introduced to help analyse the performance and behaviour of the artificial neural network. The artificial neural network developed in this thesis could successfully estimate the power consumption of the ship. Based on the developed networks it can be seen that the fuel consumption is reduced by trimming the ship by bow, i.e., the ship is angled so the bow is closer to the water line than the stern. The method introduced here could also be applied on other marine vessels, such as bulk freighters or tank ships.

In this study, the two-dimensional cutting stock problem (2DCSP) is considered. This is a problem that occurs in the cutting of a number of smaller rectangular pieces or items from a set of large stock rectangles. It is assumed that the set of large objects is sufficient to accommodate all the small items. A heuristic procedure is developed to solve the two-dimensional single stock-size cutting stock problem (2DSSSCSP). This is the special case where the large rectangles are all of the same size. The major objective is to minimize waste and the number of stock sheets utilized. The heuristic procedures developed to solve the 2DSSSCSP are based on the generation of cutting pattern. The Wang algorithm and a specific commercial software package are made use of to generate these patterns. The commercial software was chosen from a set of commercial software packages available in the market. A combinatoric process is applied to generate sets of cutting patterns using the Wang algorithm and the commercial software. The generated cutting patterns are used to formulate an integer linear programming model which is solved using an optimization solver. Empirical experimentation is carried out to test the heuristic procedures using data obtained from both small and real world application problem instances. The results obtained shows that the heuristic procedures developed produce good quality results for both small and real life problem instances. It is quite clear that the heuristic procedure developed to solve the 2DSSSCSP produces cutting patterns which are acceptable in terms of waste generated and may offer useful alternatives to approaches currently available. Broadly stated, this study involves investigating available software (commercial) in order to assess, formulate and investigate methods to attempt to benchmark software systems and algorithms and to employ ways to enhance solutions obtained by using these software systems. / Thesis (M.Sc. (Computer Science))--North-West University, Potchefstroom Campus, 2011.

In this study, the two-dimensional cutting stock problem (2DCSP) is considered. This is a problem that occurs in the cutting of a number of smaller rectangular pieces or items from a set of large stock rectangles. It is assumed that the set of large objects is sufficient to accommodate all the small items. A heuristic procedure is developed to solve the two-dimensional single stock-size cutting stock problem (2DSSSCSP). This is the special case where the large rectangles are all of the same size. The major objective is to minimize waste and the number of stock sheets utilized. The heuristic procedures developed to solve the 2DSSSCSP are based on the generation of cutting pattern. The Wang algorithm and a specific commercial software package are made use of to generate these patterns. The commercial software was chosen from a set of commercial software packages available in the market. A combinatoric process is applied to generate sets of cutting patterns using the Wang algorithm and the commercial software. The generated cutting patterns are used to formulate an integer linear programming model which is solved using an optimization solver. Empirical experimentation is carried out to test the heuristic procedures using data obtained from both small and real world application problem instances. The results obtained shows that the heuristic procedures developed produce good quality results for both small and real life problem instances. It is quite clear that the heuristic procedure developed to solve the 2DSSSCSP produces cutting patterns which are acceptable in terms of waste generated and may offer useful alternatives to approaches currently available. Broadly stated, this study involves investigating available software (commercial) in order to assess, formulate and investigate methods to attempt to benchmark software systems and algorithms and to employ ways to enhance solutions obtained by using these software systems. / Thesis (M.Sc. (Computer Science))--North-West University, Potchefstroom Campus, 2011.

With the ever-increasing demands of the nuclear power community to extend fuel cycles and overall core-lifetimes in a safe and economic manner, it is becoming more necessary to extend the working knowledge of nuclear fuel performance. From the atomistic to the macroscopic level, great morphological changes occur within the fuel over its lifetime. The main initial damaging events produced by fuel recoils from fast neutrons and fission fragment spiking leads to the onset of grain growths and fuel restructuring. Therefore, it is desirable to have a more detailed understanding of the initial events leading to fuel morphology changes at the atomistic level. However, this is difficult to achieve with the fission fragments due to the wide variability of their species (charge, mass, and energy) and the large averaging of their relative yields in the nuclear data files. This work is our first iteration at developing a general methodology to characterize a procedure, based on Monte Carlo principles, for generating individual fission event result channels and analyzing their specific response in the fuel. We utilized the nuclear reaction simulation tool, TALYS, to generate energy-dependent fission fragment yield distributions for different fissile/fissionable isotopes. These distributions can then be used in conjunction with fuel isotopics and a neutron energy spectrum to generate a fission-reaction-rate-averaged distribution of the fission fragment yields. We then used Monte Carlo sampling to generate the result channels from individual fission events, using the Q-value of the prompt fission system to either accept or reject. The simulation tool: Transport of Ions in Matter (TRIM) was used to characterize the general response of the fission fragment species within Uranium Dioxide (UO2), including the range, energy loss, displacements, recoils, etc. These responses were then correlated which allowed for the quick calculation of the response of the individual fission fragment species generated from the Monte Carlo sampling. As an example of this strategy, we calculated the response on a PWR fuel pin where MCNP was used to generate a high-fidelity neutron energy spectrum.

LBH is a highly conserved protein whose role during vertebrate development is relatively under-studied. In collaboration with the Albertson lab, our lab has previously shown that it is necessary for cranial neural crest cell migration in the zebrafish and in Xenopus laevis. The molecular mechanisms through which it acts are not well understood. In Xenopus, LBH is a maternally deposited protein. As such, studying its role in early development has not been feasible through the morpholino-mediated knockdown techniques that prevent translation of target genes. Recently, a technique for degrading endogenous proteins was developed, called Trim-Away. This was developed in mammalian systems and utilizes the E3 ubiquitin ligase Trim21 in conjunction with an antibody against a protein of interest in order to degrade the protein. In order to observe the effects of a knockdown of LBH during early embryonic development, we sought to modify the technique for use in Xenopus. We injected embryos with mRNA encoding the human form of trim21 along with a monoclonal antibody against LBH that our lab developed (2B8) and tracked degradation of the protein over time, monitoring embryos for any phenotypes arising during early development. Our results demonstrate that Trim-Away can be utilized in Xenopus. LBH depleted embryos display a variety of defects during gastrulation, the process by which the three germ layers are properly organized. These appear to be mainly due to defects in fibronectin fibrillogenesis and mesodermal migration.

Inspired by the approach of the Italian microhistories, this paper explores A Biographical Tribute to the Memory of Trim – Matthew Flinders’ story of his cat – to investigate what the text reveals about humanity and animality. From the clues Flinders left behind, it seeks to piece together a picture of the co-creation of human and animal identity through the relationship between cat and crew. It uses the theory of ‘becoming in kind’ to illustrate how human identity and animal is shaped in their mutual interactions. The topics covered include masculinity, race, and the scientific colonial mission. In conclusion, the paper finds that in the writing of his narrative Flinders constructed his own identity as a maritime commander, revealed the patriarchal forces that were at work in forming this part of his character, and expressed his ideal of the sailor in his descriptions of Trim. The treatment of animals was very important for establishing racial divisions in Flinders’ text, as seen in the cases of Bongaree and the imagined slave on Mauritius. The men on the ship used play with a Trim as a form of bonding, free from the negative associations with intimacy, and were able to express their affectionate sides in conversations with him. Importantly, Trim’s ‘cathood’ was determined by his upbringing among sailors, as he developed into specifically a ship’s cat.