After successful completion of the course, students are able to create basic mathematical models of simple mechanical systems and coupled rigid body systems. After successful completion of this course, students have basic expert knowledge in these physical domains and know the simple principles and methods for creating static and dynamical models. This goes hand in hand with the skills to understand, explain, analyze, assess, design and optimize these systems and their function based on verbal and graphical representations. This course strengthens and deepens technical understanding, engineering approaches, abstract and analytical thinking, independent solution of practical modeling problems, as well as mathematical skills.
Mechanical systems:kinematics of mass points, Newton's laws, system of forces, center of gravity, balance of momentum, translatory kinetic energy and potential energy, dissipative forces, spring-mass-damper systems, system with changing mass, balance of moment of momentum, ridig body kinematics (rotation matrices, parametrization of rotations, manipulator Jacobi matrix), rigid body dynamics (Euler-Lagrange equations)
The contents of this lecture are elaborated and discussed based on lecture notes and exercise notes (both documents freely available). The material is presented on the blackboard and with slides. To deepen, reinforce, and practically apply the material, example problems are discussed and mathematically solved. For further independent exercising, the appendix of the lecture notes contains additional example problems including their full solution. Moreover, self-assessment can be made based on problems from previous exams (freely available). During the lectures and the exercises, the solution of the examples utilizing the computer algebra program Maple is explained and trained.
A preliminary discussion of the course is given in the first lecture.
Online exams: In case regulations of the federal government or the TU Wien prohibit exams on site, the exams will be held in an written online form. Guidelines on written online exams can be found on the homepage. Random checks can be performed within 2 weeks after the written exam to verify its originality and plausibility.
For performance assessment, there is a written exam covering all contents of the course. Six exam dates are offered every year. Registration for the exam is done via TISS.
In case of a change to an online format please see the description in „further information“.
Die Anmeldung ist für den Zugang zu TUWEL notwendig.
Lecture notes (in German) can be downloaded here.
Attendance and positive completion of preceding courses.
