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Study And Analysis Of A Gearless Mechanical Transmission, Arun Lee Malla
Study And Analysis Of A Gearless Mechanical Transmission, Arun Lee Malla
Master's Theses
We used a comprehensive geometric and kinematic analysis of the Gearless Mechanical Transmission (GMT) to produce a rigorous analytical model of the system. Given initial design parameters, this model enables accurate computation of the mating geometries and key system attributes over time. Component position, component velocity, and the contact points between components were the primary attributes computed and analyzed by the developed model. The model can also be used to represent transmissions of desired ratios and sizes by altering the design parameters. Therefore, the model enables the theoretical evaluation of any desired GMT system, providing a strong foundation for further …
Krylov Subspace Spectral Methods With Non-Homogenous Boundary Conditions, Abbie Hendley
Krylov Subspace Spectral Methods With Non-Homogenous Boundary Conditions, Abbie Hendley
Master's Theses
For this thesis, Krylov Subspace Spectral (KSS) methods, developed by Dr. James Lambers, will be used to solve a one-dimensional, heat equation with non-homogenous boundary conditions. While current methods such as Finite Difference are able to carry out these computations efficiently, their accuracy and scalability can be improved. We will solve the heat equation in one-dimension with two cases to observe the behaviors of the errors using KSS methods. The first case will implement KSS methods with trigonometric initial conditions, then another case where the initial conditions are polynomial functions. We will also look at both the time-independent and time-dependent …
A Linear Approach To John Adams' Recent Works, Olivia Maynard
A Linear Approach To John Adams' Recent Works, Olivia Maynard
Master's Theses
This paper presents and demonstrates a linear approach to works from John Adams’ most recent compositional period (1991–). Existing research into this period primarily focuses on specific surface-level events, with little examination of deeper large-scale structures within the works. Chapter 1 reviews the existing research, as well as relevant research into minimalist music and post-tonal analysis, and some existing approaches are then incorporated into the methodology presented in Chapter 2. The methodology is presented in three stages: identifying formal structure, identifying linear structures through salient pitches, and determining harmonic support for those salient pitches. The methodology is demonstrated in greater …