Lecture: Wednesday, 17.00-19.00 (Sal 139),
Exercise: Wednesday, 19.00-21.00 (Sal 107)
First lecture is on 08.10.2014.
Students are expected to attend the lectures
and the exercises.
You must know basics of differential calculus, linear algebra,
mechanics, and computer graphics. You must be fluent in C++.
This is a serious course, which involves a lot of mathematics!
First five lectures: Differential equations.
Numerical methods for solving differential
equations. Order of a numerical method. Runge-Kutta Methods.
We apply RK methods to orbits, Lagrange points, and
Analytic solutions of systems of linear differential equations.
Qualitative behavior of solutions.
Next two lectures: Basics of mechanics. The notions of
mass center, torque (moment), and momentum.
Definition of rigid body. Derivation of laws for rigid body
Properties of airfoils. Typical lift/drag curves.
Notion of aerodynamic center, and its importance
for stability. Theory of longitudinal stability.
Kutta-Joukowski law: Lift = Uniform Flow X Circulation.
Application of rigid-body laws to airplanes. Theory of
stability in three dimensions. The four stability modes.
How to enhance stability with automatic controls.
One lecture: Representation of orientation by quaternions.
Role of quaternions in simulation and computer graphics.
Detecting contacts with the ground or other objects.
There exist collisions and there exist
controlled ground contacts. In order to be able to simulate
landings and take offs, one need to detect when the airplane
touches the ground, in which way it touches the ground,
and what forces these contacts create.
Modelling of wheels.
SFML (Simple and Fast Multimedia Library)
I use SFML as Window Manager, and as interface to OpenGL.
SMFL can be obtained from here .
You need version 2.0 or higher. Installing SFML in
Ubuntu is easy, because it has the correct version in
the package manager. Unfortunately, Debian still has version 1.6.
The differences are not big, but they are irritating, so try to get
version 2.0 or later.
SFML supports computer graphics through OpenGL.
homepage of Andrzej Lukaszewski
contains a lot of pointers to openGL.
used to be the main source for learning OpenGL.
It is outdated, because the
standard commands are deprecated, and one should use
Even when the commands in the Red Book are outdated, the algorithms
are still valid, so it is still useful to look at the first 5 sections.
Most of exercise
0 was made in class.
Exercise list 1.
This exercise must be handed in on
22.10.2014, and WILL BE GRADED.
Make it on separate paper.
Exercise list 2 (corrected version).
This exercise must be handed in on 29.10.2014.
Part 2c and 3 can be handed in on 05.11.2014.
Exercise list 3,
which must be handed in on 12.11.2014.
Exercise list 4,
which must be handed in on 19.11.2014.
(You need this drawing.)
Exercise list 5,
which must be handed in on 03.12.2014.
Exercise list 6,
which must be handed in on 17.12.2014.
Exercise list 7,
which must be shown on 21.01.2015 in
You need this code.
Exercise list 8.
You need this
two dimensional simulation.
This is the last exercise. I will publish the
point system very soon.
Pictures of Excursion to Dresden
Mechanics of Flight, A.C. Kermode, 11th Edition,
(Revised and Edited by R.H.Barnard and D.R.Philpott)
Pearson/Prentice Hall, UK, 2006.
Aircraft Control and Simulation, Brian Stevens and Frank Lewis,
John Wiley and Sons Inc., 1992.
Fluid Mechanics DeMYSTiFieD (A Self-Teaching Guide),
Merle C. Potter, McGraw Hill, 2009.
Numerical Methods for Ordinary Differential Equations,
J.C. Butcher, Wiley and Sons, 2003.
Mechanics of Flight (Second Edition),
Warren F. Philips, John Wiley and Sons, Inc., 2010.
Analyse, J.H.J. Almering e.a., VSSD, Delftse Uitgevers Maatschappij,
the Netherlands, 1984.