DCAMM Advanced school

Topology Optimization - Theory, Methods and Applications

Technical University of Denmark, Lyngby, Denmark

June 20 - 26, 2007

Sponsored by:

the DCAMM Research School
the Villum Kann Rasmussen Foundation
the Poul Due Jensen Foundation
the Technical University of Denmark

[COURSE FOLDER] [Course description] [Program] [Textbook] [Registration] [www] [Other] [The 2005 course] [DCAMM International Graduate Research School]

Course description

The course will concentrate on theory and practice of topology design. Topics include:
- Design parametrization (interpolation schemes, composites, etc.)
- Sensitivity analysis (direct and adjoint methods)
- Algorithms (OC-methods, convex approximation schemes and other methods)
- Computational issues (checkerboards, filters)
- Applications in structural and multi-physics problems (industrial examples, MEMS-MicroElectroMechanicalSystems, wave-propagation problems)

The course work includes study of preparatory reading material before course-start (see below).

An integral part of the course is computer exercises and preparing a poster for presentation on the last day of the course; exercise work is planned for the weekend.

All participants are also required to give a short presentation on the topic of their Ph.D. research work.

To pass the course, active participation in all activities is required; this includes the execises, the poster session, and the student presentations.

Grades: Pass/Fail. ETCS points: 3.5

Program outline (TENTATIVE):

Wednesday, June 20: 8.30-9.00 Registration and coffee and rolls. 9.00-9.15 Welcome - practicalities 9.15-12.00 The basics of topology optimization - the direct approach. Lecturer: Martin P. Bendsøe (MPB). 13.30-17.30 Introduction to computer exercises. Lecturer: Ole Sigmund. Instructors: Maria Bayard Düring (MBD), Roman Stainko (RS), and Gil-Ho Yoon (GHY). 18.30 Pizza-get-together
Thursday, June 21: 8.30-9.00 Coffee and rolls. 9.00-11.00 Mathematical programming algorithms for topology design, I. Lecturer: Mathias Stolpe 11.00-12.00 Mathematical programming algorithms for topology design, II. Lecturer: Michal Kocvara 13.30-15.00 Mathematical programming algorithms for topology design, II. Lecturer: Michal Kocvara 15.30-17.00 Computer exercises. Instructors: MBD, RS, GHY
Friday, June 22: 8.30-9.00 Coffee and rolls. 9.00-12.00 Vibrations, buckling etc., truss design, Existence of solutions, composites and homogenization, free material design. Lecturer: MPB 13.30-15.30 Design of mechanisms and MEMS. Lecturer: Ole Sigmund 15.30-17.00 Computer exercises. Instructor: MBD, RS, GHY Evening: A trip to tivoli is recommended.
Saturday, June 23: From 21.00 Mid-summer celebrations in local parks.
Monday, June 25: 08.30-09.00 Coffee and rolls. 09.00-10.30 Design in wavepropagation I. Lecturer: Jakob Søndergaard Jensen. 11.00-12.00 Controlling the dynamics of flexible structures using topology optimization concepts. Lecturer: Alejandro R. Diaz 13.30-14.30 Design of fluid systems. Lecturer: Allan Roulund Gersborg 14.30-16.00 Student presentations: TBA 16.15-18.00 Exercises. Instructor: MBD, RS, GHY 19.00 Dinner in a local restaurant.
Tuesday, June 26: 08.30-09.00 Coffee and rolls. 09.00-10.00 Design in wavepropagation II. Lecturer: Jakob Søndergaard Jensen. 10.30-12.00 Industrial applications. Lecturer: Claus B.W. Pedersen, FE-Design, Karlsruhe. 13.30-14.30 Course evaluation. 15.00-17.00 'Poster' presentations of exercise work.

Course textbook:

Martin P. Bendsøe and Ole Sigmund (2003 and 2004), "Topology Optimization: Theory, Methods and Applications." Amazon.
Preparatory reading consists of Chapter 1 and Appendix 5.1.

Read also OS_MPB_bridging.PDF (8.6MB). This is a chapter from the DTU 175 years anniversary book "BRIDGING from technology to society" (K. Stubkjær and T. Kortenbach, Eds.), Technical University of Denmark, Lyngby, Denmark, 2004.

An overview of recent developments in the area can be found in the book
Martin P. Bendsøe, Niels Olhoff and Ole Sigmund (editors)"Topological design optimization of structures, machines and materials - status and perspectives." Kluwer/Springer, Dordrecht/Berlin, 2006. More info.

Instructions on the web: The TOPOPT homepage of DTU.

Registration etc:

Information on registration, fees, deadlines, housing and scholarships, see the COURSE FOLDER

NOTE that the number of rooms reserved for the school at the DTU Ph.D.-dormitory is strictly limited.
Other types of accommodation should be arranged (by yourself) through the Wonderful Copenhagen site or via the DanHostel homepage.

Check the web:

MAKE YOUR OWN DESIGN

Academic:

The TOPOPT homepage of DTU - you find here an interactive design optimization tool-kit, tutorials etc.

Shape and Topology Optimization Group at CMAP, Ecole Polytechnique, France

Commercial:

FE-design

Industriearbeitskreis "Strukturoptimierung"

Altair OptiStruct

Quint's OPTISHAPE

MD Nastran Topology Optimization

VR&D

What to do when not studying:

Tivoli and Bakken are always fun to visit.

A trip to the local Jægersborg Deerpark is strongly recommended (within walking distance of DTU).

The Louisiana art museum, Helsingør with Hamlets Castle, and Hillerød with Frederiksborg castle are also strongly recommended.

You can easily get around North-Sealand and the Copenhagen area bu train and bus, see the DSB Journey Planner.

For further information on events in Copenhagen you can check the Wonderful Copenhagen site

[COURSE FOLDER] [Course description] [Program] [Textbook] [Registration] [www] [Other] [The 2005 course] [DCAMM International Graduate Research School]

Last updated 17.06.07