## Module Handbook

• Dynamischer Default-Fachbereich geändert auf MV

## Notes on the module handbook of the department Mechanical and Process Engineering

Die hier dargestellten veröffentlichten Studiengang-, Modul- und Kursdaten des Fachbereichs Maschinenbau und Verfahrenstechnik ersetzen die Modulbeschreibungen im KIS und wuden mit Ausnahme folgender Studiengänge am 28.10.2020, bzw. am 13.01.2021 verabschiedet.

Ausnahmen:

# Module MV-TM-136-M-4

## Module Identification

Module Number Module Name CP (Effort)
MV-TM-136-M-4 Finite Elements 6.0 CP (180 h)

## Basedata

CP, Effort 6.0 CP = 180 h 1 Sem. in SuSe [4] Bachelor (Specialization) [DE] German Müller, Ralf, Prof. Dr.-Ing. (PROF | DEPT: MV) Sator, Christian, Dr.-Ing. (WMA | DEPT: MV) Sala, Ramses, Dr.-Ing. (WMA | DEPT: MV) Sator, Christian, Dr.-Ing. (WMA | DEPT: MV) [MV-LTM] Applied Mechanics [MV-82.103-SG] B.Sc. Mechanical Engineering [NORM] Active

## Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
3V+1U MV-TM-86012-K-4
Finite Elements
P 56 h 124 h - - PL1 6.0 SuSe
• About [MV-TM-86012-K-4]: Title: "Finite Elements"; Presence-Time: 56 h; Self-Study: 124 h

## Examination achievement PL1

• Form of examination: written exam (Klausur) (75-105 Min.)
• Examination Frequency: each semester
• Examination number: 10136 ("Finite Elements")

## Contents

• Principles of the numerical solution for boundary value problems (weighted residuals, collocation and Ritz methods for trusses and beams)
• One-dimensional discretization with the Finite Element Method (FEM)
• Element technology for one- and two-dimensional problems (shape functions, numerical integration, isoparametric concept).
• Assembly of the global equation system (element stiffness matrix, element residuals)
• Truss and beam elements
• Displacement and mixed-formulation based elements for plane elasticity problems

## Competencies / intended learning achievements

1. Lecture

The students are able to

• Describe and apply several numerical methods for boundary value problems from the field of engineering mechanics
• Formulate truss and beam elements
• Calculate shape functions and their derivatives in the scope of the isoparametric concept
• Construct and apply shape functions for finite elements in two dimensional models
• Calculate plane elasticity problems

2. Exercises

The students are able to

• Apply various numerical methods on truss and beam constructions with Matlab
• Implement truss and beam elements in DAEdalon
• Calculate truss, beam and plane elasticity problems with DAEdalon
• Develop, implement and test element formulations

## Literature

• Gross, Hauger, Wriggers: Technische Mechanik 4 – Hydromechanik, Elemente der Höheren Mechanik, Numerische Methoden, Springer
• Gross, Hauger, Schröder, Werner: Formeln und Aufgaben zur Technischen Mechanik 4 – Hydromechanik, Elemente der Höheren Mechanik, Numerische Methoden, Springer
• Wriggers: Nichtlineare Finite-Element-Methoden, Springer
• Silber, Steinwender: Bauteilberechnung und Optimierung mit der FEM
• Bathe: Finite Element Methoden, Springer
• Hughes: The Finite Element Method, Prentice Hall
• Zienkiewicz, Taylor: The Finite Element Method: The Basis, Butterworth-Heinemann
• Zienkiewicz, Taylor: The Finite Element Method: Solid Mechanics, Butterworth­Heinemann

## Requirements for attendance of the module (informal)

Knowledge of Continuum mechanics is an advantage

None

## References to Module / Module Number [MV-TM-136-M-4]

Course of Study Section Choice/Obligation
[MV-82.103-SG] B.Sc. Mechanical Engineering [Specialisation] KF5: Computational Engineering (if chosen) [P] Compulsory
[INF-88.79-SG] M.Sc. Computer Science [Core Modules (non specialised)] Formal Fundamentals [WP] Compulsory Elective
[MV-82.103b-SG#2022] B.Sc. Maschinenbau 2022 [2022] [Specialisation] Wahlpflichtbereich / Kompetenzfelder [WP] Compulsory Elective
Module-Pool Name
[MV-MB-2022-MPOOL-4] Wahlplichtmodule Bachelor Maschinenbau