This bachelor thesis at hand focuses on the basic study of forced,
parametrically excited and self-excited vibrations of mechanical systems.
The vibrations are illustrated using a technical model/paradigm and are
investigated and analyzed by means of a mathematical model and its
description, i.e. the equations of motion. The numerical simulations are
processed by the standard software tools Maple or MATLAB. Basically, the
vibrations of the harmonically excited systems with single degree of
freedom (DoF) are studied separately: direct and indirect excitations. By
means of test functions for sprecial excitations like step and impulsive
functions, the vibrational responses of the spring-mass-damper system are
obtained. Further on, investigations of forced systems with DoF=2 by direct
and indirect harmonic excitations are conducted to draw conclusion to the
case of DoF=1. Afterwards, T-periodic excitated systems with DoF=1 and
DoF=2 are introduced and analyzed in using Fourier transformations of the
excitations. At the end of this study, examples are given to discuss
parametrically excited and self-excited vibrations. First examples of
parametrically excited systems involve a single pendulum with periodically
moving suspension and/or with variable pendulum length. Numerical
simulations of the equation of motion give information of the system
behavior. Friction induced vibrations and rattle of machine tools are
analyzed examples in the case of self-excited vibrations.