PD (przetwarzanie danych)NG (metody numeryczne i grafika komputerowa)
Opis przedmiotu:
The course concentrates on modelling airplanes, but you will learn a lot about
physics and mathematics as well.
**Program:**
Laws of motion for points. Energy versus impulse. Specific impulse of a rocket
engine, the inherent exponential cost of rocket propulsion.
We will do calculations on planets and rockets. The physics of rockets is much
easier to understand than the physics of airplanes, so it is a good starting
point.
Elements of linear algebra, cross and dot products. Moments.
Usage of quaternions for the representation of orientations.
Laws of motion for rigid, non-point objects. Everyone knows Newton's law, F =
m.a, which can be used for determining how a point with mass m reacts to a
force with strength F. But what if the object is not a point, and the force
does not work in the middle of the object? In that case, the object will start
to rotate. We will derive laws that connect eccentric forces and resulting
rotation to the mass distribution of an object.
Techniques for tabling continuous functions, lagrange interpolation, spline
interpolation.
Modelling of Wings. Understanding the qualitive relation between angle of
attack, drag and lift.
How the airplane is flown: Take off, landing, turning, descending, climbing.
Importance of stability. Theory of stability of airplanes.
Modelling and designing automatic control. Maintaining a given altitude,
maintaining a given heading, maintaining a certain speed. All functions of the
autopilot can be viewed as stability augmentation. Therefore, one needs to
have some insight in the mathematical theory of stability, and in Laplace
transforms.
Map projections, modelling of the environment.
Theory of wings. Numerically approximating solutions of the Navier-Stokes
equation, theory of circulation.
**Wymagania:** You must know how to program in C++. You must be good at
mathematics ( calculus and linear algebra ) and physics This is a serious
course!
