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 verabschiedet.

Ausnahmen:

Course MV-LTM-86009-K-7

Engineering Optimization (2V, 3.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 3.0 CP 28 h 62 h
(2V) 3.0 CP 28 h 62 h

Basedata

SWS 2V
CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. in SuSe
Level [7] Master (Advanced)
Language [DE] German
Lecturers
Area of study [MV-LTM] Applied Mechanics
Additional informations
Livecycle-State [NORM] Active

Contents

The basic concepts and fundamental quantities of mathematical optimization are presented, in which a focus is put on aspects which are of foremost importance for structural optimization problems. As part of an introduction, basic knowledge of mathematical terms and aspects of optimization is imparted. Afterwards optimization problems without constraints as well as problems with constraints are considered. Based on this, alternative formulations of an optimization problem (so-called Lagrange duality) are presented with the help of Lagrange functions. Subsequently approximation methods, optimality criteria methods and multi-criteria optimization are considered. Finally, outlooks on other areas such as shape optimization and topology optimization are given.

Competencies / intended learning achievements

  • Students are familiar with basic concepts and fundamental quantities of mathematical optimization
  • Students are able to explain different optimization strategies
  • Students are able to compare and rate different optimization strategies
  • Students are able to formulate (primal and dual) optimization problems
  • Students are able to implement and use numerical optimization techniques

Literature

  • Harzheimer, L.: Strukturoptimierung - Grundlagen und Anwendungen, Verlag Harri Deutsch 2008
  • Spellucci, P.: Numerische Verfahren der nichtlinearen Optimierung, Birkhäuser Verlag 1993
  • Reinhard, R.; Hoffmann, A.; Gerlach T.: Nichtlineare Optimierung, Springer Verlag 2013
  • Schumacher, A.: Optimierung mechanischer Strukturen - Grundlagen und industrielle Anwendungen, Springer-Verlag 2005

Materials

Blackboard/overhead, beamer, slides, help sheets, Matlab

Requirements for attendance (informal)

Applied Mechanics and Mathematics

Requirements for attendance (formal)

None

References to Course [MV-LTM-86009-K-7]

Module Name Context
[MV-TM-M135-M-7] Engineering Optimization P: Obligatory 2V, 3.0 LP
[PHY-SP-4-M-7] Schwerpunktmodul Technische Mechanik P: Obligatory 2V, 3.0 LP