Structural Optimization 1

Other subject area

About this course

The module contains an introduction to the methods and applications of structural optimization for engineers. The following contents are treated:

  • Mathematical background,
  • modelling and formulation of optimization tasks,
  • optimization algorithms,
  • multi-criteria optimization,
  • sensitivity analysis,
  • an introduction to topology optimization,
  • an introduction to shape optimization,
  • form finding and minimal surfaces.

Learning outcomes

After participating in this module students have a background knowledge of theory, methods and application fields of structural optimization. They are able to:

  • Spot fields of application for structural optimization,
  • understand basic literature on the basis of their knowledge gained throughout the module,
  • transform the contents taught in this module to similar engineering tasks,
  • characterize and solve optimization tasks.



  • Bletzinger, K.-U., "Structural Optimization" Secondary:
  • Bendsoe, M., Sigmund, O., "Topology optimization"
  • Haftka, R., "Elements of structural optimization"
  • Harzheim, L., "Strukturoptimierung"

Course requirements

Basic education, e.g. by a bachelor’s degree in civil engineering, mechanical engineering or techno mathematics. A basic knowledge of the finite element method (BGU32028 Introduction to Finite Element Methods), as well as a successful participation in lectures in structural analysis, structural mechanics as well as numerical methods are a prerequisite.


The module is based on a lecture and an exercise part. The lecture consists of classical presentations with script and notes. For consolidation of the content, exercises containing hand calculations and computer software are conducted. For further intensification of the contents additional exercise sheets (“Check your knowledge”) are provided as well as a voluntary colloquium.

Link to more information

  • Credits
    ECTS 3
  • Contact hours per week
  • Instructors
    Kai-Uwe Bletzinger, Ann-Kathrin Goldbach, Martin Fußeder, Veronika Singer, David Schmölz
  • Mode of instruction
  • Course coordinator
If anything remains unclear, please check the FAQ of TUM (Germany).


  • Start date

    • Ends
    • Term *
    • Instruction language
These offerings are valid for students of CTU (Czech Republic)