Contents:   
Kinematics
• Harmonic vibrations
• Periodic vibrations (harmonic analysis)
• Representation in the frequency range
• Non-periodic vibrations (spectra)
Vibrations with one degree of freedom
• Mechanical model for real structures
• Non-damped and damped free oscillations
• Transient oscillations (impacts)
• Harmonic excitation, transfer function
• Isolation
• Filter effect
• Periodical excitation (frequency range)

Vibrations with 2 degrees of freedom
• Free vibrations
• Harmonic excitation
• Passive mass-damper

Vibrations with finite degrees of freedom
• Equations of motion
• Mode decomposition, natural frequencies
• Different kind of excitation
• Participation factor
• Damping
Free oscillations of beams with FEM