A level set method with maximum design domain limits

Rong, J. H. and Yi, J. H. and Liang, Q. Q. (2008) A level set method with maximum design domain limits. In: ISEC 4: Innovations in Structural Engineering and Construction, 26-28 Sep 2007, Melbourne, Australia.

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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.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Publisher retains copyright of this paper.
Depositing User: Dr Stephen Liang
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Agricultural, Civil and Environmental Engineering
Date Deposited: 08 Jan 2008 01:42
Last Modified: 02 Jul 2013 22:51
Uncontrolled Keywords: level set method; performance-based optimization; topology optimization
Fields of Research (FOR2008): 12 Built Environment and Design > 1204 Engineering Design > 120405 Models of Engineering Design
09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
01 Mathematical Sciences > 0101 Pure Mathematics > 010107 Mathematical Logic, Set Theory, Lattices and Universal Algebra
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
URI: http://eprints.usq.edu.au/id/eprint/3286

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