9 - Methode der Finiten Elemente (FE)
Jun 22, 2014•1 hr 29 min
Methode der Finiten Elemente (FE) Course ID:271
Voraussetzungen / Organisatorisches
Grundkenntnisse in Technischer Mechanik und Mathematik
Inhalt
Modellbildung und Simulation
Mechanische und mathematische Grundlagen
- Das Prinzip der virtuellen Verschiebungen
- Die Methode der gewichteten Residuen
Allgemeine Formulierung der FEM
- Formfunktionen
- Elemente für Stab- und Balkenprobleme
- Locking-Effekte
- Isoparametrisches Konzept
- Scheiben- und Volumenelemente
Numerische Umsetzung
- Numerische Quadratur
- Assemblierung und Einbau von Randbedingungen
- Lösen des linearen Gleichungssystems
- Lösen des Eigenwertproblems
- Zeitschrittintegration
Empfohlene Literatur
- Knothe, Wessels: Finite Elemente, Berlin:Springer
- Hughes: The Finite Element Method, Mineola:Dover
ECTS-Informationen:
Title:
Finite Element Methods
Credits: 5
Prerequisites
Basic Knowledge in Engineering Mechanics and Mathematics
Contents
Modeling and Simulation
Mechanical and Mathematical Foundations
- principle of virtual displacements
- principle of weighted residuals
General Formulation of the Finite Element Method
- shape functions
- elements for bar and beam problems
- locking effects
- isoparametric concept
- disk and volume elements
Numerical Implementation
- quadrature rules
- assembling and boundary conditions
- solving linear systems of equations
- solving eigen value problems
- time integration schemes
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