Einführung in Stochastische Schwingungen

What it is about

You learn the theory of linear stochastic vibrations for technical systems. In the end you will be able to analyze linear dynamic systems under random excitation (e.g., wind, earthquakes, waves) in the time and frequency domains as well as by simulation, and make statements about safety.

What you will be able to do

• Master fundamentals of probability and random variables
• analyze stochastic processes
• perform time-domain response analysis of linear systems
• apply frequency-domain methods for random excitations
• analyze multi-degree-of-freedom systems stochastically
• conduct failure analysis under random dynamic loads
• implement computer simulations of the response of linear dynamic systems

What the module consists of

• Vorlesungoffers formal introduction to the mathematical principles of stochastic linear dynamics
• Tutorials/Übungentranslate into practice the theory; selected problems are discussed
• Hausaufgaben/Übungsblätterconsolidation of what has been learned and preparation for the project

Teaching method

• Whiteboard-Vorlesungenables step-by-step presentation of theoretical concepts and mathematical derivations
• Präsentationen (Folien)support with graphical illustrations to clarify complex issues
• Tutorials mit Implementierungsaufgabenencourage applying the theory in computational examples and code