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:

Course MV-TM-86012-K-4

Finite Elements (3V+1U, 6.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 6.0 CP 124 h
3 V Lecture 42 h
1 U Lecture hall exercise class 14 h
(3V+1U) 6.0 CP 56 h 124 h

Basedata

SWS 3V+1U
CP, Effort 6.0 CP = 180 h
Position of the semester 1 Sem. in SuSe
Level [4] Bachelor (Specialization)
Language [DE] German
Lecturers
Sala, Ramses, Dr.-Ing. (WMA | DEPT: MV)
Sator, Christian, Dr.-Ing. (WMA | DEPT: MV)
Area of study [MV-LTM] Applied Mechanics
Additional informations
Livecycle-State [NORM] Active

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

Materials

Lecture presentation sheets, Lecture notes, Exercises, DAEdalon, Matlab. For further information and course materials please consider the corresponding OLAT-course.

Requirements for attendance (informal)

Knowledge of Continuum mechanics is an advantage

Modules:

Requirements for attendance (formal)

None

References to Course [MV-TM-86012-K-4]

Module Name Context
[MV-TM-136-M-4] Finite Elements P: Obligatory 3V+1U, 6.0 LP
[PHY-SP-4-M-7] Schwerpunktmodul Technische Mechanik WP: Obligation to choose 3V+1U, 6.0 LP