169 lines
		
	
	
		
			8.7 KiB
		
	
	
	
		
			TeX
		
	
	
	
	
	
			
		
		
	
	
			169 lines
		
	
	
		
			8.7 KiB
		
	
	
	
		
			TeX
		
	
	
	
	
	
 | 
						|
\chapter{Introduction}
 | 
						|
 | 
						|
Model rocketry is a sport that involves designing, constructing and
 | 
						|
launching self-made rockets.  Model rockets vary greatly in size,
 | 
						|
shape, weight and construction from detailed scale models of
 | 
						|
professional rockets to lightweight and highly finished competition
 | 
						|
models.  The sport is relatively popular and is often cited as a
 | 
						|
source of inspiration for children to become engineers and
 | 
						|
scientists.
 | 
						|
 | 
						|
The hobby started as amateur rocketry in the 1950's when hobbyists
 | 
						|
wanted to experiment their skill with building rockets.  Designing,
 | 
						|
building and firing self-made {\it motors} was, however, extremely dangerous,
 | 
						|
and the American Rocket Society (now the American Institute of
 | 
						|
Aeronautics and Astronautics, AIAA) has estimated that about one in seven
 | 
						|
amateur rocketeers during the time were injured in their hobby.  This
 | 
						|
changed in 1958 when the first commercially-built model rocket
 | 
						|
motors became available.  Having industrially-made, reasonably-priced
 | 
						|
and safe motors available removed the most dangerous aspect of amateur
 | 
						|
rocketry.  This along with strict guidelines to the design and
 | 
						|
launching of model rockets formed the foundation for a safe and
 | 
						|
widespread hobby.~\cite[pp.~1--3]{stine}
 | 
						|
 | 
						|
Since then model rocketry has spread around the globe and among all
 | 
						|
age groups.  Thousands of rockets ranging from 10~cm high miniatures
 | 
						|
to large models reaching altitudes in excess of 10~km are launched
 | 
						|
annually.  Model rocket motors with thrusts from a few Newtons up to
 | 
						|
several kilo-Newtons are readily available.  Since its forming in
 | 
						|
1957, over 90\s000 people have joined the National Association of
 | 
						|
Rocketry (NAR) in the U.S. alone.
 | 
						|
%  Model rocketry is used as an
 | 
						|
%educational device in numerous of schools and by many youth
 | 
						|
%organizations.
 | 
						|
 | 
						|
In designing rockets, the {\it stability} of a rocket is of central
 | 
						|
priority.  A stable rocket corrects its course if some outside
 | 
						|
force disturbs it slightly.  A disturbance of an unstable rocket
 | 
						|
instead  increases until the rocket starts spinning in the
 | 
						|
air erratically.  As shall be discussed in
 | 
						|
Section~\ref{sec-stability}, a rocket is deemed 
 | 
						|
{\it statically stable} if its center of pressure (CP) is aft of its
 | 
						|
center of gravity (CG)\footnote{An alternative term would be 
 | 
						|
  {\it center of mass}, but in the context of model rocketry, we are
 | 
						|
  interested in the effect of gravity on the rocket.  Thus, the term
 | 
						|
  center of gravity is widely used in model rocketry texts, and this
 | 
						|
  convention will be followed in this thesis.}.
 | 
						|
The center of gravity of a rocket can be easily calculated in advance
 | 
						|
or determined experimentally.  The center of pressure, on the other
 | 
						|
hand, has been quite hard to determine either analytically or
 | 
						|
experimentally.  In 1966 James and Judith Barrowman developed an
 | 
						|
analytical method for determining the CP of a slender-bodied rocket at
 | 
						|
subsonic speeds and presented their results as a research and
 | 
						|
development project at the 8th National Association of Rocketry Annual
 | 
						|
Meeting (NARAM-8)~\cite{barrowman-rd}, and later as a part of James
 | 
						|
Barrowman's Master's thesis~\cite{barrowman-thesis}.  This method has
 | 
						|
become known as the {\it Barrowman method} of determining the CP of a
 | 
						|
rocket within the model rocketry community, and has a major role in
 | 
						|
determining the aerodynamic characteristics of model rockets.
 | 
						|
 | 
						|
Another important aerodynamic quantity of interest is the 
 | 
						|
{\it aerodynamic drag} of a rocket.  Drag is caused by the flow of air
 | 
						|
around the rocket and it can easily reduce the maximum altitude of a
 | 
						|
rocket by 50--80\% of the otherwise theoretical maximum.  Estimating
 | 
						|
the drag of a model rocket is a rather complex task, and the effects
 | 
						|
of different design choices are not always very evident to a
 | 
						|
hobbyist.
 | 
						|
 | 
						|
Knowing the fundamental aerodynamic properties of a rocket allows one
 | 
						|
to simulate its free flight.  This involves numerically integrating
 | 
						|
the flight forces and determining the velocity, rotation and position
 | 
						|
of the rocket as a function of time.  This is best performed by
 | 
						|
software designed for the purpose of model rocket design.
 | 
						|
 | 
						|
RockSim~\cite{rocksim} is one such piece of software.  It is a
 | 
						|
commercial, proprietary program that allows one to define the geometry
 | 
						|
and configuration of a model rocket, estimate its aerodynamic
 | 
						|
properties and simulate a launch with different rocket motors.  It has
 | 
						|
become the {\it de facto} standard software for model rocket
 | 
						|
performance estimation.  However, as a proprietary program, it is
 | 
						|
essentially a ``black-box'' solution.  Someone wishing to study or
 | 
						|
validate the methods will not be able to do so.  Similarly extending
 | 
						|
or customizing the functionality or refining the calculations methods
 | 
						|
to fit ones needs is impossible.  The software is also only available
 | 
						|
on select operating systems.  Finally, the cost of the software may be
 | 
						|
prohibitive especially for younger hobbyists, voluntary organizations,
 | 
						|
clubs and schools.
 | 
						|
 | 
						|
Open Source software, on the other hand, has become an increasingly
 | 
						|
competitive alternative to proprietary software.  Open Source allows
 | 
						|
free access to the source code of the programs and encourages
 | 
						|
users with the know-how to enhance the software and share their
 | 
						|
changes~\cite{oss-principles}.  Success stories such as the Linux
 | 
						|
operating system, the OpenOffice.org office suite, the Firefox web
 | 
						|
browser and countless others have shown that Open Source software can
 | 
						|
often achieve and even exceed the quality of expensive proprietary
 | 
						|
software.
 | 
						|
 | 
						|
 | 
						|
\section{Objectives of the thesis}
 | 
						|
 | 
						|
The objectives of this thesis work are to:
 | 
						|
%
 | 
						|
\begin{enumerate}
 | 
						|
\item Develop and document relatively easy, yet reasonably accurate
 | 
						|
  methods for the calculation of the fundamental aerodynamic
 | 
						|
  properties of model rockets and their numerical simulation;
 | 
						|
 | 
						|
\item Test the methods developed and compare the results with other
 | 
						|
  estimates and actual experimental data; and
 | 
						|
 | 
						|
\item Implement a cross-platform, Open Source model rocket design and
 | 
						|
  simulation software that uses the aforementioned methods, is at the
 | 
						|
  same time easy to use and yet versatile, and which is easily
 | 
						|
  extensible and customizable for user requirements, new types of rocket
 | 
						|
  components and new estimation methods.
 | 
						|
\end{enumerate}
 | 
						|
 | 
						|
The methods presented will largely follow the methods developed by
 | 
						|
Barrowman~\cite{barrowman-rd,barrowman-thesis}, since these are
 | 
						|
already familiar to the rocketry community.  Several extensions to the
 | 
						|
methods will be added to allow for more accurate calculation at larger
 | 
						|
angles of attack and for fin shapes not accounted for in the original
 | 
						|
paper.  The emphasis will be on subsonic flight, but extensions will
 | 
						|
be made for reasonable estimation at transonic and low supersonic
 | 
						|
velocities.
 | 
						|
 | 
						|
The software developed as part of the thesis is the OpenRocket
 | 
						|
project~\cite{openrocket}.  It is an Open Source rocket development
 | 
						|
and simulation environment written totally in Java.  The program
 | 
						|
structure has been designed to make full use of object oriented
 | 
						|
programming, allowing one to easily extend its features.  The software
 | 
						|
also includes a framework for creating user-made 
 | 
						|
{\it listener components} (discussed in Section~\ref{sec-listeners})
 | 
						|
that can listen to and interact with the simulation while it is
 | 
						|
running.  This allows a powerful and easy way of interacting with the
 | 
						|
simulation and allows simulating for example guidance systems.
 | 
						|
 | 
						|
One possible future enhancement that has also specifically been
 | 
						|
considered throughout the development is calculating the aerodynamic
 | 
						|
properties using computational fluid dynamics (CFD).  CFD calculates
 | 
						|
the exact airflow in a discretized mesh around the rocket.  This would
 | 
						|
allow for even more accurate calculation of the aerodynamic forces for
 | 
						|
odd-shaped rockets, for which the methods explained herein do not
 | 
						|
fully apply.
 | 
						|
 | 
						|
It is anticipated that the software will allow more hobbyists the
 | 
						|
possibility of simulating their rocket designs prior to building them
 | 
						|
and experimenting with different configuration, thus giving them a
 | 
						|
deeper understanding of the aerodynamics of rocket flight.  It will
 | 
						|
also provide a more versatile educational tool since the simulation
 | 
						|
methods are open and everyone will be able to ``look under the hood''
 | 
						|
and see how the software performs the calculations.
 | 
						|
 | 
						|
In Chapter~\ref{chap-basics} a brief overview of model rocketry and
 | 
						|
its different aspects will be given.  Then in
 | 
						|
Chapter~\ref{chap-aerodynamics} methods for calculating the
 | 
						|
aerodynamic properties of a general model rocket will be presented.
 | 
						|
In Chapter~\ref{chap-simulation} the aspects of simulating a rocket's
 | 
						|
flight are considered.  Chapter~\ref{chap-software} then explains how
 | 
						|
the aerodynamic calculations and simulation are implemented in the
 | 
						|
OpenRocket software and presents some of its features.  In
 | 
						|
Chapter~\ref{chap-experimental} the results of the software simulation
 | 
						|
are compared with the performance of constructed and launched rockets.
 | 
						|
Chapter~\ref{chap-conclusion} then presents a summary of the
 | 
						|
achievements and identifies areas of further work.
 | 
						|
 | 
						|
 |