Topology optimization: perimeter restriction using total variation
(2022) In ISRN LUTFD2/TFHF-21/5245-SE(1-49) FHLM01 20211Solid Mechanics
Department of Construction Sciences
- Abstract
- Topology optimization is a method used to find optimal material distributions, within a specified domain, with respect to some performance measure. To avoid various artifacts to appear in the suggested design, the solution space is typically restricted,
where some restriction methods allow different length scales to be controlled in the design. The suggested material distribution may result in complex designs that are difficult and costly to manufacture. By controlling the perimeter of the design, solutions
with limited complexity can be found.
In this thesis, two different methods of controlling the perimeter of the solution in topology optimization are investigated. First, a method is presented where a constraint on the total... (More) - Topology optimization is a method used to find optimal material distributions, within a specified domain, with respect to some performance measure. To avoid various artifacts to appear in the suggested design, the solution space is typically restricted,
where some restriction methods allow different length scales to be controlled in the design. The suggested material distribution may result in complex designs that are difficult and costly to manufacture. By controlling the perimeter of the design, solutions
with limited complexity can be found.
In this thesis, two different methods of controlling the perimeter of the solution in topology optimization are investigated. First, a method is presented where a constraint on the total variation is added to the optimization problem. The method is evaluated by solving a 2-dimensional heat flow topology optimization problem, where two different penalization strategies are used. With the total variation constraint
method, the perimeter cannot be fully controlled. However, some useful applications in engineering might still be found. For comparison, the topology optimization problem is also solved using a PDE-filter, which is modified for computational efficiency. Finally, a filter with total variation regularization is presented, without being successfully
implemented. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/9075524
- author
- Fredriksson, Jonas LU
- supervisor
- organization
- alternative title
- Topologioptimering: användning av totalvariation för omkretsbegränsning
- course
- FHLM01 20211
- year
- 2022
- type
- H3 - Professional qualifications (4 Years - )
- subject
- keywords
- Topology optimization, structural optimization, solid mechanics, total variation
- publication/series
- ISRN LUTFD2/TFHF-21/5245-SE(1-49)
- report number
- TFHF-5245
- language
- English
- id
- 9075524
- date added to LUP
- 2022-03-03 14:14:27
- date last changed
- 2022-03-10 12:03:10
@misc{9075524, abstract = {{Topology optimization is a method used to find optimal material distributions, within a specified domain, with respect to some performance measure. To avoid various artifacts to appear in the suggested design, the solution space is typically restricted, where some restriction methods allow different length scales to be controlled in the design. The suggested material distribution may result in complex designs that are difficult and costly to manufacture. By controlling the perimeter of the design, solutions with limited complexity can be found. In this thesis, two different methods of controlling the perimeter of the solution in topology optimization are investigated. First, a method is presented where a constraint on the total variation is added to the optimization problem. The method is evaluated by solving a 2-dimensional heat flow topology optimization problem, where two different penalization strategies are used. With the total variation constraint method, the perimeter cannot be fully controlled. However, some useful applications in engineering might still be found. For comparison, the topology optimization problem is also solved using a PDE-filter, which is modified for computational efficiency. Finally, a filter with total variation regularization is presented, without being successfully implemented.}}, author = {{Fredriksson, Jonas}}, language = {{eng}}, note = {{Student Paper}}, series = {{ISRN LUTFD2/TFHF-21/5245-SE(1-49)}}, title = {{Topology optimization: perimeter restriction using total variation}}, year = {{2022}}, }