DCAMM / HMS2000 Ph.D.-course / Advanced school

Topology Optimization - Theory, Methods and Applications

Technical University of Denmark, Lyngby, Denmark, June 19 - 25, 2003

Sponsored by:

the Villum Kann Rasmussen Foundation

the Poul Due Jensen Foundation

the HMS2000 project

the Technical University of Denmark

[Course description] [Program] [Textbook] [Registration] [www] [Other] [BRIEF REPORT] [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)

Program (tentative):

Thursday, June 19:
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.
13.30-17.30 Introduction to computer exercises. Lecturer: Ole Sigmund.
18.30 Pizza-get-together
Friday, June 20:
8.30-9.00 Coffee and rolls.
9.00-12.00 Mathematical programming algorithms for topology design, I. Lecturer: Pierre Duysinx
13.30-15.00 Mathematical programming algorithms for topology design, II. Lecturer: Pierre Duysinx
15.30-17.00 Computer exercises.
Monday, June 23:
8.30-9.00 Coffee and rolls.
9.00-12.00 Implementation aspects. Vibrations, buckling etc., truss design. Lecturer: Martin P. Bendsøe.
13.30-15.30 Design of mechanisms and MEMS. Lecturer: Ole Sigmund.
15.30-17.00 Computer exercises.
Evening: Sct. Hans aften (mid-summer celebration)- bon-fires in local parks.
Tuesday, June 24:
08.30-09.00 Coffee and rolls.
09.00-10.30 Topology optimization: Existence of solutions, composites and homogenization, free material design. Lecturer: Martin P. Bendsøe.
11.00-12.00 Design of materials. Lecturer: Martin P. Bendsøe.
13.30-14.30 On optimal designs. Lecturer: P. Pedersen.
14.30-16.00 Student presentations:
Jean-Francois Collard "Multibody systems"
Sine L. Pedersen"Modelling of chains"
Atsushi Kawamoto "Articulated mechanism design"
Lennart Kühlmeier "Windturbines"
Søren Halkjær "Laser detection"
Frederic de Gournay "Level-set methods"
Jang In Gwun "Design space optimization"
Gil Ho Yoon "Multiscales and geometrical non-linearity"
Harald Fredricson "Car-body design"
Jens Fynbo "Architectural design"
Martin Stettner "Industrial applications"
16.15-18.00 Exercises.
19.30 Dinner in a local restaurant.
Wednesday, June 25:
08.30-09.00 Coffee and rolls.
09.00-10.00 Design in wavepropagation. Lecturer: Jakob Søndergaard Jensen.
10.30-12.00 Industrial applications. Lecturer: Hakan Carlsson, Altair Engineering, Sweden.
13.30-14.30 Course evaluation.
15.00-17.00 'Poster' presentations of exercise work.

Course textbook:

Martin P. Bendsøe and Ole Sigmund (2003), "Topology Optimization: Theory, Methods and Applications." Springer or Amazon.
Preparatory reading consists of Chapter 1 and Appendix 5.1.
Instructions on the web: The TOPOPT homepage of DTU.

Registration etc:

Registration to:
DCAMM-TopOpt course secretariat, att.: Anna Jensen, Department of Mathematics, Technical University of Denmark, Building 303, DK-2800 Lyngby, Denmark. Phone: (+45) 45253031, Fax: (+45) 45881399, E-mail: A.Jensen@mat.dtu.dk.
Registration fee:
There is no registration fee for students enrolled at universities and public research institutions.
For researchers employed at universities and public research institutions the registration fee is 150 EURO. This covers hand-outs, coffee and social events.
For all other participants the registration fee is 700 EURO.
Applicants should submit a request for registration to be at the hands of the course secretariat no later than six weeks before course start (eight weeks for students applying for scholarships and asking for assistance in finding accommodation). Information on enrollment will be posted within a week after this date.
Lodging (Wednesday, June 18, to Thursday, June 26) in a special Research School University Residence will be offered on a first come, first served basis, at a cost of
DKR 1200 (EURO 160) for 8 nights.
Accomodation in hotels is also possible and should be arranged by the participants themselves, see the Wonderful Copenhagen site.
For Ph.D.-students enrolled at non-Danish universities and research institutions, we can offer a limited number of scholarships in order to facilitate participation. A scholarship is intended for partial covering of extra living costs in connection with the course participation and covers lodging (see above) and a per diem (200 Euro in total for 8 days). Unfortunately NO subsidy of travel expences can be offered. Prospective students should in connection with the course registration send a brief application to the course secretariat indicating research interests and background. Enclose a CV and a short letter of recommendation from the Ph.D.-advisor at the home institution, and make sure the application is received by the course secretariat no later than eight weeks before course start (for candidates that require a visa, earlier response is strongly recommended).
For participants in the HMS2000 project should contact their country coordinators for information on possible financial support.

Check the web:



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

FIDO-Solid at the University of Swansea



Industriearbeitskreis "Strukturoptimierung"

Altair OptiStruct



VMA Engineering

What to do when not studying:

Friday, June 20: Horserace at Klampenborg Galopbane in Charlottenlund at 17.00.
Monday, June 23: Sct. Hans aften (mid-summer) Bon-fires in local parks (e.g., Folkeparken in Kgs. Lyngby).

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

Brief report

The course was attended by 28 participants from 13 countries (Denmark, Sweden, Germany, Austria, UK, Belgium, France, Italy, Spain, Portugal, Switzerland, Japan and Korea); this included 9 Danes and 13 partcipants connected to the HMS2000 project. Industrial participation consisted of researchers from Volvo, Vestas Wind Systems, Grundfos, Toyota, and EADS. Also, a representative from Altair gave a presentation on industrial use of topology design.

[Course description] [Program] [Textbook] [Registration] [www] [Other] [BRIEF REPORT] [DCAMM International Graduate Research School]

Last updated 14.08.03