(Topologische Strukturoptimierung)

Lecturer: Lisa Kusch, Prof. Nicolas R. Gauger
Date and Place:
Tuesday, 10:00h – 11:30h, SC Seminar Room 32-349, Lecture
Thursday, 14:00h – 15:30h, SC Seminar Room 32-349, Exercise (every second week)
Note: First meeting: 26.4.2022. Lecture starts on 3.5.2022. Exercises start on 5.5.2022.

Attention! Switching to online Lecture! The lecture will be held online via the BBB link in the Olat course in a flipped classroom style. The recommended browsers are Chrome. If you have questions or problems please send me a mail.

ECTS: 4.5
SWS: V2Ü1
Language: German or English
Link to lecture in KIS
Link to OLAT course

Audience

Master students in mathematics and computer science. Preferably with some basic knowledge about PDEs and numerics.

Objective

While questioning specific structural design problems, the students learn how to model and compute structures (e.g. bridges, components, micro structures) and their characteristics (e.g. compliance) and how to set up discrete models for the structural design. The final goal is to enable the students to treat topology optimization problems for structures, while the methods for topology optimization make also use of sizing and shape design methodologies (as in case of bubble methods). In tutorials based on MATLAB and open source software, the students will get hands on the derived methods for topology optimization. The lecture is furthermore valuable for general lectures on optimization with PDEs. For those students who have heard already lectures on optimization with PDEs, the lecture gives a specific problem and application oriented insight into this class of optimization problems.

Content

• Linear elastic equations and its discretization
• Sizing optimization
• Shape optimization
• Topology optimization
• Material distribution problems
• Bubble method
• Derivation and characteristics of topological gradients