This bachelor thesis is about the topic vibrations. First of all, the
free oscillation and the free damped oscillation of a system with $DoF=1$
are discussed. For these two topics, the oscillation over the time $t$ is
examined, which gives information about the behavior for a large time
horizon. Furthermore, the phaseportait gives information about the energy,
which is consumed or produced by the system. After that, the forced
vibration is discussed. First of all, the harmonically stimulated
oscillation is discussed by comparing the natural frequencies $\Omega$ and
$\omega_0$. Furtheron, the quotient of both and its aftermath for the
oscillation is examined. In view of technical use, the stimulation by a
shock should not be neglected. For this topic, the oscillation over a long
period of time is discussed. This examination gives information, which is
very important for the design of a suspension of a vehicle. The comfort for
the passengers is directly affected by the suspension, especially while
driving over bumpers. Another examination, which is very important for
designing the suspension, is the periodically stimulated vibration by
shocks. The functions of stimulations are compared by their amplitude
spectra to get information about the oscillations forced by these
functions. For more information for practical use, these results are
transferred to a system with $DoF=2$. In this case, the influence of two
coupled masses on each other is investigated. In technical systems, there
is a huge amount of moving parts, which influence each other. The next
topic is about the parameter-excited vibration. This topic is introduced by
an example of a disc brake of a vehicle. The oscillations over the time and
the phaseportrait are approximated. This examination gives information
about oscillation for long periods of time. Furthermore, it gives
information wether the system consumes or produces energy. The results are
needed for the construction of the brakes of a vehicle to prevent damages.
Finally, the self-excited vibration is discussed. Stability, phaseportait
and oscillation for several sets of parameters are analyzed over the time
by the radial force vibration of a tire. The results of this examination
give important information for the construction of tires. This information
helps to prevent damages or even accidents.