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	/Title      (RASP Wave-Energy Conversion Project Final Report)
       	/Author     (Andrew Hamilton)
       	/Keywords   (Keyword 1, Keyword 2)}	
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\begin{document}

% Declarations for Front Matter

\title{RASP Wave-Energy Conversion Project Final Report}


\maketitle


\begin{abstract}
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\end{abstract}


\tableofcontents
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\listoftables

\chapter{Introduction}
\input{Chapters/introduction}

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\appendix
\chapter{Frequency Domain Analysis of Floating Bodies}
This appendix contains the frequency domain analysis utilizing linear wave theory for the heave motion of floating bodies in three configurations.
\enumerate
\item  Single untethered floating body
\item  Single floating body connected to the seafloor with a spring/damper tether.
\item  Two-body system with floating body connected to a submerged body with a spring/damper tether.

Because this analysis is performed in the frequency domain, it is neccessarily linear.  Drag forces on the submerged body are therefore linearized.  All motions are assumed to be sinesoidal and represented by a complex motion amplitude as follows:

\begin{eqnarray*}
z(t) & = & Re [\xi e^{i\omega t}]  \\
\dot z(t) & = & Re [\xi i \omega e^{i \omega t}] \\
\ddot z(t) & = & Re [-\xi \omega^2 e^{i \omega t}] 
\end{eqnarray*}

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\chapter{Time Domain Analysis of Floating Bodies}

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\end{document}