Mathematical Modeling (etit-619)

Mathematische Modellierung / Mathematical Modeling
V-UE; 3 SWS; ECTS-Points: 4
Lecturer: Prof. Dr.-Ing. habil. Thomas Meurer
 

Overview

Mathematical models play a crucial role in almost any scientific domain. In this context modeling refers to the determination of an abstract mathematical description (approximately) reflecting the behavior of the system under consideration. For this algebraic, ordinary or even partial differential equations are taken into account depending on the problem setting, the degree of detail and the modeling goals. This lecture gives an introduction to the mathematical modeling of dynamic systems.  The lecture addresses the following topics:

  • Rigid body kinematics
  • Rigid body dynamics
  • Energy principles
Differing from the previous announcements the lecture will instead of addressing "Heat transfer and principles of chemical reaction engineering" add a part on the modeling and the control of robots.


Dates

See UnivIS (lecture ID 080316) and UnivIS (lecture ID 080317).

Downloads

Data and files will be updated during the teaching period.

Lecture notes

Direct links refer to pdf files for two side printout. Files for single side printout are provided separately.

Additional downloads

Mathematica animations for Chapter 2, you will need the Wolfram CDF Player (free to download) to run the provided cdf-files.

 

Exams

 

Literature

[1] M.W. Spong, M. Vidyasagar: Robot Dynamics and Control, John Wiley & Sons.
[2] L. Meirovitch: Principles and Techniques of Vibrations, Prentice Hall.
[3] J.N. Reddy: Energy Principles and Variational Methods in Applied Mechanics, John Wiley & Sons.
[4] H.D. Baehr, K. Stephan: Wärme- und Stoffübertragung, Springer.
[5] O. Levenspiel: Chemical Reaction Engineering, John Wiley & Sons.
Research