Stochastische Finite-Elemente-Methode in der Vibroakustik

What it is about

In this module you will learn how uncertainties in vibroacoustic systems are modeled and analyzed with stochastic finite element methods (sFEM). You will acquire knowledge on random variables, uncertainty quantification, Karhunen–Loève and Polynomial-Chaos developments as well as intrusive and non-intrusive FEM procedures, and you will be able to evaluate vibroacoustic models with respect to parameter uncertainties.

What you will be able to do

• Intrusive and non-intrusive FEM formulations define
• Karhunen–Loève and Polynomial-Chaos developments recognize and explain
• Methods of uncertainty quantification understand
• Sampling- and Non-Sampling-FEM methods practically apply
• Analytical and numerical FE methods for structural dynamics describe and apply
• Vibroacoustic models develop and evaluate regarding parameter uncertainties

What the module consists of

• VorlesungConveying the theory of vibroacoustics, random variables and sFEM; illustrated by examples
• ÜbungWorking on homework, discussion and solving practice problems; step-by-step review of Matlab and ANSYS computations
• Projektarbeit / ProgrammierübungDevelopment and extension of vibroacoustic models in ANSYS and Matlab; application of stochastic FEM

Teaching method

• Vortrag / PräsentationFor the structured presentation of the theoretical content
• Tablet-PC / Beamer (Anschrieb)For visualization and support of the lecture materials
• Beispiele und ÜbungsaufgabenFor application and deepening of the theory
• Schritt-für-Schritt-Demonstrationen in Matlab und ANSYSFor practical implementation and programming practice
• Bereitstellung von Foliensammlung, Skript und Übungsaufgaben onlineFor pre- and post-reading as well as independent work