commit c83eafb8ed146fc7dec5802d9b3ea3ee573c1108
parent b05ae7c474a318aa0ef1905daab7f1918c1143ec
Author: Ivan Gankevich <igankevich@ya.ru>
Date: Sun, 31 Mar 2019 14:26:31 +0300
Figures.
Diffstat:
6 files changed, 26 insertions(+), 13 deletions(-)
diff --git a/graphics/aurora-1.png b/graphics/aurora-1.png
Binary files differ.
diff --git a/graphics/aurora-2.png b/graphics/aurora-2.png
Binary files differ.
diff --git a/graphics/hydrostatics.png b/graphics/hydrostatics.png
Binary files differ.
diff --git a/graphics/stability.png b/graphics/stability.png
Binary files differ.
diff --git a/graphics/waves.png b/graphics/waves.png
Binary files differ.
diff --git a/main.tex b/main.tex
@@ -5,6 +5,7 @@
\usepackage{graphicx}
\usepackage{url}
\usepackage{multirow}
+\usepackage{gensymb}
\setlength{\tabcolsep}{4pt}
\begin{document}
@@ -93,7 +94,7 @@ aft, main (table of plaza ordinates) and bow sections. When digital ship hull
model is first added to Vessel database the following design characteristics
are specified in the comments: displacement, wetted surface area, hull volume
ratio coefficient, date and time of file creation. The diagram of a VSL file
-is presented in tab.~\ref{tab:forma}.
+is presented in tab.~\ref{tab:format}.
\begin{table}
\centering
@@ -130,13 +131,13 @@ is presented in tab.~\ref{tab:forma}.
\begin{figure}
\centering
-% \includegraphics{graphics/}
+ \includegraphics[width=\textwidth]{graphics/aurora-1.png}
\caption{Aurora cruiser digital model.\label{fig:aurora-1}}
\end{figure}
\begin{figure}
\centering
-% \includegraphics{graphics/}
+ \includegraphics[width=\textwidth]{graphics/aurora-2.png}
\caption{Aurora cruiser hull is prepared for a numerical ship
hydromechanics experiment. Although, the number of frame points
in the main section is relatively small, it allows for smooth
@@ -152,6 +153,17 @@ The programme also performs wave resistance calculations for arbitrary travel
speeds taking into account radiation intensity and interference of ship waves
with respect to waterline as a function of Froude number.
+\begin{figure}
+ \centering
+ \includegraphics[width=\textwidth]{graphics/hydrostatics.png}
+ \caption{Ship stability calculations for a ship with small moments of
+ inertia for the area of the current waterline (MICW-85). For a design
+ draught roll moments are small up to 30\textdegree{} wave slope, and
+ stability increases in response to any change in
+ draught.\label{fig:hydrostatics}}
+\end{figure}
+
+
\subsection{Triangulation of a ship hull given by a collection of curves}
In the original programme~\cite{hull2010} that visualises ship lines and
@@ -295,7 +307,8 @@ visualisation.
\section{Results}
-\subsection{...}
+\subsection{Hydrostatic calculations for historic, traditional and contemporary
+ship hulls}
As an illustrative example of simulating seakeeping ship characteristics we
consider ship stability diagrams for contemporary and historical ships, and for
@@ -303,15 +316,15 @@ a ship that is purposely optimised for improved storm seakeeping.
\begin{figure}
\centering
-% \includegraphics{graphics/}
- \caption{Transversal projection of a ship hull (top left), static ship
- stability diagrams for a fixed centre of gravity \(Z_g\) and metacentric height
- equal to 1\% of a beam for contemporary (a), historical (b) and improved
- storm seakeeping (c) ships.\label{fig:hydrostatics}}
+ \includegraphics[width=\textwidth]{graphics/stability.png}
+ \caption{Transversal projection of a ship hull (top), static ship stability
+ diagrams for a fixed centre of gravity \(Z_g\) and metacentric height equal
+ to 1\% of a beam for contemporary (a), historical (b) and improved storm
+ seakeeping (c) ships.\label{fig:stability}}
\end{figure}
-Fig.~\ref{fig:hydrostatics} shows that Aurora cruiser ship hull has excellent
+Fig.~\ref{fig:stability} shows that Aurora cruiser ship hull has excellent
seakeeping characteristics in severe storm waves conditions, which guarantee
safe small oscillations and smoothness of roll by reducing metacentric height~---
initial ship hull stability. Additional positive stability appears for
@@ -319,14 +332,14 @@ large roll angles and arbitrary changes in heave.
\begin{figure}
\centering
-% \includegraphics{graphics/}
+ \includegraphics[width=\textwidth]{graphics/waves.png}
\caption{Wave resistance, radiation intensity and ship waves intensity
- along the ship hull.\label{fig:stability}}
+ along the ship hull.\label{fig:waves}}
\end{figure}
More complicated usage scenario of computational model is optimisation of ship
lines to achieve certain form of wave resistance curve
-(fig.~\ref{fig:stability}). In the calculations we build radiation intensity
+(fig.~\ref{fig:waves}). In the calculations we build radiation intensity
and ship waves interferences along the current waterline. By changing ship
lines we reduce resistivity extrema for relative speeds (on Froude) on the
order of 0.3 and 0.5 without sacrificing propulsion for minimum wave formation
