The research assesses the energy extracted by gyroscopic wave energy generators. With the strong currents from the
Atlantic Ocean and North Sea, Norway has an opportunity to utilize ocean wave energy as an alternative source of renewable energy,
within practical limitations. Specifically, such devices can provide supplementary power to fish farms and lighting on oilrigs.
This project assesses the Moving Frame Method (MFM) in dynamics to model the extracted power from a gyroscopic wave energy generator.
The MFM is founded on Lie Group Theory, Cartan’s moving frames and a new notation from the discipline of geometrical physics.
Hamilton’s Principle, supplemented as the Principle of Virtual Work, extracts the equations of motion.
The approach supplements the analysis with a novel application of the restriction on the virtual angular velocities.
This research extends previous work. We now account for buoyancy forces, and an extended geometry.
We also account for the feedback effect of the driving motor torques in a full 3D analysis.
After showing how to obtain the suite of descriptive equations of motion, we integrate the, however with a
relatively simple integration scheme in this next pass. To complete each step in the analysis,
we update the Rotation matrix using the Cayley Hamilton Theorem and the Rodriguez formula.
Finally, we display the results using the Web Graphics Library (WebGL).
WebGL is a JavaScript API for rendering interactive 2D and 3D graphics within any compatible web browser without the use of plug-ins.