• Understanding vibration phenomena in mechanical systems as well as their mathematical description (k2)
• Understand and apply mathematical methods for the analysis of linear vibrations in mechanical systems (k2,k3,k4)
• Understand and apply mathematical methods for the analysis of nonlinear vibrations in mechanical systems (k2,k3,k4)
• Understand and apply mathematical methods for the analysis of linear vibrations in continuous mechanical systems (k2,k3,k4)

• Classification of vibrations and forces in vibratory systems
• Linear vibrations of single-degree-of-freedom systems (single mass oscillator, free and forced vibrations, force excitation, kinematic excitation, imbalance)
• Linear vibrations of multi-degree-of-freedom systems (governing equations, linearization, modal analysis)
• Parametrically excited vibrations

Selected examples: two mass oscillator (tuned mass damper), coupled pendulums (beat), oscillator chains

• Free and forced vibrations of continuous systems: Axial and torsional vibrations, bending vibrations
• Nonlinear vibrations: mathematical pendulum, harmonic balance, approximation methods