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date_range Starts on June 7, 2021
event_note Ends on August 1, 2021
list 7 sequences
assignment Level : Intermediate
chat_bubble_outline Language : English
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verified_user Fee-based Certificate
timer 56 hours in total

About the content

This course will introduce you to a broad range of methodologies used in the field of machine dynamics. You will learn how to model a vehicle using the fundamentals of mechanics. You will get a deep understanding of the equations of motion and how to solve them using powerful MathWorks tools. Eventually, you will gain the ability to analyze and interpret the computational results in order to optimize your design.

To get the most out of your time the course is subdivided into five weeks, each consists of lectures, tutorials and exercises. During lectures, you will get all the theoretical background of machine dynamics. Tutorials will teach you the basics of MathWorks products and exercises will merge your theoretical knowledge with the practical use of the software into an exciting application.

You will learn how to model a vehicle by a one and a two degree of freedom system. These systems could be base excited, force excited or not excited, they could be damped or undamped and their mathematical representation could be solved analytically, by state space representation or by solving the differential equation itself.

Therefore, if you ever wondered how to design a vehicle suspension using MathWorks tools, we highly recommend you attend to this course.

  • Basic and advanced MATLAB skills
  • Define a sensible modelling depth
  • Derive equations of motion for different models
  • Solve the equations of motion using different approaches
  • Presentation of results using animations

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  • Basics of solid mechanics
  • Linear differential equations of second order
  • Basics of linear algebra



Week1: Basics of oscillation
Definition of important parameters of an oscillation. Introduction to the methods of
modelling and discussion about modelling depth. Derivation of an equation of motion of a
translational one degree of freedom system.

Week2: Discrete systems with one degree of freedom and its eigen behavior
Analytical solution of an equation of motion and animation of the results. Analysis of
three typical cases of eigen behavior. Introduction to state space representation and
numerical solution of an equation of motion. Getting started with Simulink.

Week3: Discrete systems with one degree of freedom with forced excitation
Description of different types of excitation. Derivation and solution of an equation of
motion with frequency dependent force excitation and frequency independent force
excitation, respectively. Extension of the model to base excitation and explanation and
development of effective vibration insulation.

Week4: Discrete systems with multiple degrees of freedom and its eigen behavior
Derivation of a system of equations of motion which describes vertical dynamics and
pitch motion. Analytical solution of this system and discussion of the homogeneous
solution. Analyzes of three typical cases of motion.

Week5: Discrete systems with multiple degrees of freedom and its eigen behavior
and with forced excitation
Transfer of equations into state space representation and into a Simulink model.
Application of frequency independent and frequency dependent force excitation to the
system of equations of motion. Adaption of the model to base excitation. Development of
a vibration absorber.

Week6: Discrete systems with multiple degrees of freedom with forced excitation
Adaption of the model to base



Burkhard Corves
Univ.-Prof. Dr.-Ing. Dr. h. c.
RWTH Aachen University

Martin Lankers
RWTH Aachen University

Jan-Lukas Archut
RWTH Aachen University


Content Designer

RWTH Aachen University

RWTH Aachen University is among the leading technical universities in Europe measured by its academic output, the quality of its graduates, and by the quantity of its external funding. A unique location in the center of Europe bordering Belgium and the Netherlands induces an international and technology driven climate for Aachen as a University City as well as for the whole region. Founded in 1870 RWTH holds 260 institutes in nine faculties and has more than 42,000 Students, about 7,000 of whom are international.

Teaching at RWTH Aachen is first and foremost application-oriented. Its graduates are therefore sought-after as junior executives and leaders in business and industry. National rankings and international assessments attest to the RWTH graduates’ marked ability to handle complex tasks, to solve problems constructively in team work and to take on leadership roles. It is therefore not surprising that many board members of German corporate groups studied at RWTH Aachen.

RWTH Aachen University has a major interest in sharing its qualified lectures and research experiences and has a history in implementing numerous blended learning patterns in higher education.




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