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Full-Text Articles in Mechanical Engineering
Diving Into Reliable Numerical Observability And Stabilization Of The One-Dimensional Wave Equation, Emma Moore
Diving Into Reliable Numerical Observability And Stabilization Of The One-Dimensional Wave Equation, Emma Moore
Mahurin Honors College Capstone Experience/Thesis Projects
In this project, a one-dimensional wave equation, which is a partial differential equation (PDE) describing vibrations on a string, is considered. It is known that the PDE model is exactly observable and exponentially stabilizable. The main goal of this project is to construct a numerical approximation technique, so-called the direct filtering technique, to prove that the Finite Difference and Finite Element space-discretized 1-D wave equations (i) with homogeneous Dirichlet boundary conditions are uniformly observable, (ii) with controlled boundary conditions are uniformly exponentially stable, as the approximation parameters tend to zero. It is crucial to develop reliable numerical approximation techniques for …
Comparing Building Modeling Software To The Energy Record Of A Preexisting Structure, Nathan Lasley
Comparing Building Modeling Software To The Energy Record Of A Preexisting Structure, Nathan Lasley
Mahurin Honors College Capstone Experience/Thesis Projects
Buildings are complex systems - even "simple" residential structures. Many factors go into building energy consumption and the design to reduce it. Computer energy modeling allows the simultaneous consideration and balance of many of those variables. Computer models are only as good as the information provided however. Tools like blower door and duct blaster can be used to aid in verifying the model or to provide more information to build a better model. In order to verify of building computer energy simulation methods, the Western Kentucky University (WKU) Office of Sustainability located at 503 Regents Ave. in Bowling Green KY …