A level set method with maximum design domain limits

Paper

Rong, J. H., Yi, J. H. and Liang, Q. Q.. 2008. "A level set method with maximum design domain limits." Xie, Yi Min and Patnaikuni, Indubhushan (ed.) ISEC 4: Innovations in Structural Engineering and Construction. Melbourne, Australia 26 - 28 Sep 2007 London, United Kingdom.
Paper/Presentation Title

A level set method with maximum design domain limits

Presentation TypePaper
AuthorsRong, J. H. (Author), Yi, J. H. (Author) and Liang, Q. Q. (Author)
EditorsXie, Yi Min and Patnaikuni, Indubhushan
Journal or Proceedings TitleProceedings of the 4th International Structural Engineering and Construction Conference (ISEC 4)
Journal Citation2, pp. 883-889
Number of Pages7
Year2008
Place of PublicationLondon, United Kingdom
ISBN9780415457552
Web Address (URL) of Paperhttp://materialsaustralia.com.au/ISEC-4/Default.htm
Conference/EventISEC 4: Innovations in Structural Engineering and Construction
Event Details
ISEC 4: Innovations in Structural Engineering and Construction
Event Date
26 to end of 28 Sep 2007
Event Location
Melbourne, Australia
Abstract

The design domains of practical structures are often limited and significantly affect the final optimal design of the structures. Structural boundaries under traction and prescribed displacements should be treated as a zero set in the level set methods. However, structural optimization methods based on level set movements do not consider these realistic requirements. To overcome the limitations of current level set methods and the stopping issue of structural boundary movements, this paper presents a new level set based optimization method for the optimal design of continuum structures with bounded design domains. A set of new normal velocities required by the level set movements is proposed. Optimization algorithms are developed and implemented with several robust and efficient numerical techniques. The difference of the proposed method and the existing level set method is given. The validity and effectiveness of the proposed method are demonstrated with one example.

Keywordslevel set method; performance-based optimization; topology optimization
ANZSRC Field of Research 2020401001. Engineering design
400510. Structural engineering
490407. Mathematical logic, set theory, lattices and universal algebra
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Byline AffiliationsChangsha University of Science and Technology, China
Department of Agricultural, Civil and Environmental Engineering
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