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

Finite Elements (M, 6.0 LP)

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
Position of the semester 1 Sem. in SuSe
Level [4] Bachelor (Specialization)
Language [DE] German
Module Manager
Lecturers
Area of study [MV-LTM] Applied Mechanics
Reference course of study [MV-82.103-SG] B.Sc. Mechanical Engineering
Livecycle-State [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")

Evaluation of grades

The grade of the module examination is also the module grade.


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

Modules:

Requirements for attendance of the module (formal)

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