Important note

This course is currently not offered.

Information about the module

General data about the module 
Study program

M.Sc. Aerospace Engineering

Module number 1208
Trimester Winter trimester
Work load

90h total, thereof

          36h presence time

          54h self-study


2 TWS lecture

1 TWS excercise

Qualification goals
  • Students will understand how to understand the importance of stochastic signals compared to deterministic signals in the realistic operation of aerospace vehicles and vehicle systems.
  • Students will be able to classify signal types, quantitatively classifying stochastic signals by their mean values.
  • Students will acquire the ability to confidently apply the mathematical tools to deal with signals in the time and frequency domains, as well as master the transition between the domains.
  • Students will acquire the ability to estimate loads on the structure under investigation such as the test setup (electrodynamic shaker, hydraulic cylinder) using signal and power spectra in experiments.
  • The students will be able to understand the measurement technology necessary for processing stochastic signals and their sources of error as well as their remedies.
    and their remedies.



In the module "Stochastic Vibrations in Theory and Practice", students acquire the necessary basic knowledge for the computational and metrological treatment of realistic mechanical excitations, as they represent stochastic vibrations in the field of application of aerospace equipment but also in general vehicle construction.
In detail, the following contents are taught:

  • The students receive an overview of the mechanical environmental conditions to which aerospace vehicles as well as ground-based vehicles are exposed in operation as well as a classification of the significance of stochastic signals in measurement and testing.
  • Students will become familiar with the mathematical fundamentals of statistical signal analysis in the time and frequency domains, as well as the classification of signal types. In particular, the importance of signal and power spectra for assessing
    realistic loads on vibrating structures is taught to the students quantitatively (RMS value).
  • Students will learn about the response behavior of linear systems under stochastic excitation, solution procedures and essential differences to deterministic signals.
  • By means of practical measurement of stochastic signals, students learn about the most important measurement instrument (FFT analyzer), measurement errors and how to avoid them during digital processing.
  • The role of stochastic signals in an experimental system identification and their metrological realization are taught to the students in theory and practice.