Upcoming events
- March 12 2010: Handing in my thesis.
Department of Mathematics
Room 115, Building 303 S
Technical University of Denmark (DTU)
DK-2800 Kgs. Lyngby
Denmark
Phone: +45 4525 3056
Email: M.L.H.Rasmussen<at>mat·dtu·dk
Personal homepage
About me
PH.D. student at the Department of Mathematics at the Technical
University of Denmark (DTU).
Period: January 2006 - March 2010.
See short CV.
My project (Topology optimization problems with design-dependent sets of constraints)
My field of research is within topology optimization, and as such I am part of the the TopOpt group at DTU.
To understand topology optimization, consider first a truss
structure, e.g.
.
Now, as an engineer, you might ask: Could this strucuture have a
better design?
In order to answere this question, we must
define what we consider being best and what we may alter in the
original design in order to achieve this best design.
In a topology optimization problem, we define how a possible
structure may look (here there may be constraints on the stress
values in a bar, the displacements of a bar, and so forth), and then
find the optimal among these. An example of an optimal design could
be the structure with minimal weight that still satisfies the given
constraints on the structure.
My focus is on how to solve the mathematical problem which arises
from topology optimization. In particular, I am interested in
structures which have local stress constraints to its bars.
As supervisors, I have:
Anton
Evgrafov,
Ole Sigmund,
and
Mathias Stolpe
(main supervisor)
Works
- Master Thesis: Disjoint paths in directed networks with length and distribution criteria (Aug. 2005)
- Presentation of Global Optimization of large-scale Topology
Design Problems using Branch-and-Bound Methods
at the III European Conference on Computational Mechanics (Jun. 2006) - Presentation of A parallel method for solving discrete
topology design problems
at the 19th Nordic Seminar on Computational Mechanics (Oct. 2006) - Presentation of Strength of problem formulations in topology optimization
at the 11th internal Danish Center for Applied Mathematics and Mechanics symposium (Mar. 2007) - Presentation of Topology optimization problems formulated as
Mathematical Programs with Equilibrium Constraints
at the 7th World Congress on Structural and Multidisciplinary Optimization (May 2007) - Publication of Global optimization of discrete truss topology
design problems using a parallel cut-and-branch method
in Computers and Structures (doi:10.1016/j.compstruc.2007.05.019) - Presentation of Structural design with local stress constraints
at the 2nd German Association for Computational Mechanics (Oct. 2007) - Internal report Constraint qualifications in structural
topology optimization problems
at the University of Dortmund. Report no. 356 (Dec. 2007)