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Dynamics of oscillating water columns

Graduate level course project for AOE 5034 - Mechanical and Structural Vibrations/Dynamics Under the guidance of Dr. Gary Seidal - Virginia Tech

Brief Summary

This project analyize one of the techniques used to harvest ocean wave energy. It is a mechanical and structural dynamics analysis done by simulating a similar model in MATLAB.

Performed a vibrational analysis on one of the techniques used for harvesting wave energy, including the eigenvalue analysis, mode shapes, free and forced excitation the techniques taught in class, converted the problem into a Multi Degree of Freedom (6 DoFs), with harmonic excitation and proportional damping representing the harmonic motion of ocean waves, and springs representing stiffness in the strings

Outline

  • Defining Problem Statement
  • Equation Derivation
    • FBD / Diagram / Equation of Motion
    • Stiffness Matrix / Mass Matrix / Proportional Damping
  • Analysis from Eigenvalue Problem
    • Computing lambda, natural frequencies, finding zeta
    • Mode Shapes
  • Response
    • Free Vibration
    • Forced Excitation variations
    • Using Modal Analysis
      • Advantages of Modal Analysis over direct formulations
  • Lessons Learnt
  • Proof of Concept