Norway has an opportunity to harvest ocean wave energy through gyroscopic precession as an alternative source of renewable energy, within practical limitations. This research assesses the energy extracted by gyroscopic wave energy generators and their use to provide supplementary power to fish farms and lighting on oilrigs. This project implements the Moving Frame Method (MFM) in dynamics to model the extracted power from a gyroscopic wave energy generator. The MFM leverages Lie Group Theory, Cartan’s moving frames and a new notation from the discipline of geometrical physics. Continuing, the Principle of Virtual Work extracts the equations of motion from the structure of the Special Orthogonal Group. However, the MFM supplements its analysis with a novel application of the restriction on the variations of the angular velocities. This research extends previous work as follows: it accounts for motor torques, it opens a placeholder for buoyancy, and it solves the full 3D set of equations (without assuming negligible yaw). After showing how to obtain the suite of descriptive equations of motion, this project integrates them, however with a relatively simple integration scheme. To complete each step in the analysis, the rotation matrix is updated using the Cayley Hamilton Theorem and the Rodriguez formula. Finally, the results are displayed using the Web Graphics Library such that the actual numerical analysis and display happens on cell phones.
Gyroscopic Wave Energy Generator for Fish Farms and Rigs
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Norbach, A, Fjetland, KB, Hestetun, GV, & Impelluso, TJ. "Gyroscopic Wave Energy Generator for Fish Farms and Rigs." Proceedings of the ASME 2018 International Mechanical Engineering Congress and Exposition. Volume 6B: Energy. Pittsburgh, Pennsylvania, USA. November 9–15, 2018. V06BT08A021. ASME. https://doi.org/10.1115/IMECE2018-86188
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