**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