A new hole insertion method for level set based topology optimization

Peter D Dunning, H Alicia Kim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

Structural shape and topology optimization using level set functions is becoming increasingly popular. However, traditional methods do not naturally allow for new hole creation and solutions can be dependent on the initial design. Various methods have been proposed that allow for new hole insertion, however the link between hole insertion and boundary optimisation can be unclear. The novel method presented in this paper utilizes a secondary level set function that represents a pseudo third dimension in 2-d problems to facilitate new hole insertion. The update of the secondary function is directly connected to the update of the primary level set function. Thus, a meaningful link is created between boundary evolution and emergence of new holes. Classic examples from structural topology optimization are used to demonstrate the performance of the proposed method.
Original languageEnglish
Title of host publication13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Pages1-9
Number of pages9
ISBN (Electronic)978-1-60086-954-9
DOIs
Publication statusPublished - 2010
Event13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference - Texas, Fort Worth, United States
Duration: 13 Sep 201015 Sep 2010

Conference

Conference13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference
CountryUnited States
CityFort Worth
Period13/09/1015/09/10

Fingerprint

Shape optimization
Set theory
Structural optimization

Cite this

Dunning, P. D., & Kim, H. A. (2010). A new hole insertion method for level set based topology optimization. In 13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference (pp. 1-9). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2010-9316

A new hole insertion method for level set based topology optimization. / Dunning, Peter D; Kim, H Alicia.

13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference. American Institute of Aeronautics and Astronautics Inc., 2010. p. 1-9.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Dunning, PD & Kim, HA 2010, A new hole insertion method for level set based topology optimization. in 13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference. American Institute of Aeronautics and Astronautics Inc., pp. 1-9, 13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference, Fort Worth, United States, 13/09/10. https://doi.org/10.2514/6.2010-9316
Dunning PD, Kim HA. A new hole insertion method for level set based topology optimization. In 13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference. American Institute of Aeronautics and Astronautics Inc. 2010. p. 1-9 https://doi.org/10.2514/6.2010-9316
Dunning, Peter D ; Kim, H Alicia. / A new hole insertion method for level set based topology optimization. 13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference. American Institute of Aeronautics and Astronautics Inc., 2010. pp. 1-9
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