Machine Dynamics deals with dynamics and its specific application to problems in mechanical engineering. It builds upon fundamental knowledge from the subject "Engineering Mechanics," particularly the subfields of kinematics and kinetics covered in the third semester of the Bachelor's programs in Mechanical Engineering and Biomedical Engineering.

In machine dynamics, three levels of modeling are generally distinguished. The course primarily focuses on constrained systems of rigid bodies, referred to as multibody systems or "rigid machines." In addition, machine dynamics addresses linear vibration systems—one of the classical areas of the field—including topics such as foundation design, vibration isolation, as well as torsional and longitudinal vibrations. Nonlinear or self-excited vibration systems represent the third modeling level in machine dynamics.

Learning Objectives:
Students acquire knowledge in modeling, parameter identification, analysis, and interpretation of results for problems in machine dynamics. They are enabled to systematically solve machine dynamics problems.

Content:

1. Introduction: Modeling in machine dynamics

2. Classification and description of vibrations

3. Linear vibrations with one degree of freedom: Free vibrations, forced vibrations, vibration isolation in machinery

4. Equations of motion for multibody systems: d'Alembert’s principle, Lagrange’s equations of the second kind, linearized equations of motion

5. Free linear vibrations with multiple degrees of freedom: Natural frequencies, mode shapes, damping

6. Forced linear vibrations with multiple degrees of freedom: Frequency response, resonance, vibration absorption

7. Vibrations in drive systems: Rigid drive trains, forced torsional vibrations, vibration reduction techniques, bending vibrations in shafts

8. Mass balancing of machines: Basic principles, single-cylinder engines, multi-cylinder engines

Recommended Literature:

Dresig, H., Holzweißig, F.: Maschinendynamik, Springer-Verlag.
Gasch, R., Knothe, K.: Strukturdynamik, Springer-Verlag 
Woernle, C.: Manuskript zur Vorlesung Maschinendynamik (Foliensatz).