Lecture Multibody Dynamics (mbd)
Code MFM 120 at Master Course MFM
Prof. Dr.-Ing. Oskar Wallrapp

Mail: Prof. Dr. Oskar Wallrapp
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Lecture Notes
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Version 20.09.2021

News

Please not, this is my last lecture at HM

Syllabus

Keywords Multibody system, rigid body kinematics and dynamics, joints, force elements, MBS applications, flexible multibody modelling if time available
Course language English
Period The course will be given in WS 2011 at MUAS for mostly graduate students.
Location and Time The 4 sws lecture is given in block form:
Exercise Work Additional exercise work / computer work will be organized later
We will use MBS programs like Working Model, Simpack and math programs like Maple.
A good way is if students can use their one laptop in the class room.
Project and Homework Every weeks home work should be solved continuously. It will be checked at the following lecture.
At mid of course time a project have to be solved by each student.
Objectives and learning outcome Students will be able to
* understand the motion of rigid and flexible multibody systems attached by mechatronic components
* setup small multibody models using Math programs and MBS programs
* interpret the results of multibody dynamics and mechatronic systems introduction, flexible multibody modelling, mode selection, FEM- MBS interface, MBS applications
* write a small MBS program using e.g. Maple
Prerequisites Undergraduate basics in mathematics and mechanics, matrix calculus
Maple knowledge is very helpful.
Teaching Method Lecture, exercises, homework and practical work on computer programs.
Exam and Credits Written exam at end of course, projects.
It leads to 5 CPs (ECTS).
Contents and lecture notes Lecture notes and exercise problems are given below.
For the contents see lecture notes below.
The script is locked by a password, please ask me.

Lecture Notes and Materials

Header, Contents (V7) mbd_contents.pdf
800 K
Part 1 - Rigid Body Dynamics mbd_text_pdf-v7.zip
15 000 K
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Help on English Reading of Equations ReadFormula.zip
8000 K
Usage of greek letters CreekLetters.zip
1800 K

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Please ask for the RMBS-Maple-Code in the actual version helpful for the projects.
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Problems and Solutions

Solution for Example 1.5.1 (mw+wm) mbd_Example1.5.1.zip
1500 K
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Problem 1 mbd_problem1.pdf
100 K
Problem 1 - Solution by maple ask
Problem 2 mbd_problem2.pdf
200 K
Problem 2 - Solution by maple and WorkingModel ask
Solutions of Exercises Chap 2 ask

Projects and Written Exams

Project groups
Project 1 not available
Project 2 mbd_project2WS11.pdf
44 K

Tutorials

Tutorials are not available yet.

Additional Links regarding to this course

A great link for correct writing and spelling of mathematical equations is the link "Englisch für Mathematiker"
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Some Animations of mbs (use Quicktime player)
RoboterDD.mov (128K)
Kurbelschleife.mov (192K)
Kurbelschwinge.mov (306K)
ExSchubkurbel.mov (224K)
Doppelschubkurbel.mov (314K)
Schifahrer.mov - Project with Prof. Senner (1200 K)
Radfahrer.avi - Dipl.Thesis St.Jüptner (4000 K)
RuderErgomSimpack.mov - Dipl.Thesis Thomas Grund (460 K)
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Buckling Beam_buckling.avi 1700 K
Tilting Beam_tilting2.mov 100 K
Triangle Flex_triangle.mov 100 K
Flex Sliedercrank Flex_Schubkurbel.mov 200 K
Satellite FlexSatellite-2.mov 1000 K
TacomaBridge TacomaBridge.mov 5000 K