Journal
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
Volume 13, Issue 5, Pages 1292-1308Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.160911.110512a
Keywords
Structural optimization; binary level set method; finite element method
Categories
Funding
- Zhejiang Provincial Natural Science Foundation of China [LQ12A01012]
- NSFC [91130004]
- Major Projects on Control and Rectification of Water Body Pollution of China [2009ZX07424-001]
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This paper proposes a variational binary level set method for shape and topology optimization of structural. First, a topology optimization problem is presented based on the level set method and an algorithm based on binary level set method is proposed to solve such problem. Considering the difficulties of coordination between the various parameters and efficient implementation of the proposed method, we present a fast algorithm by reducing several parameters to only one parameter, which would substantially reduce the complexity of computation and make it easily and quickly to get the optimal solution. The algorithm we constructed does not need to re-initialize and can produce many new holes automatically. Furthermore, the fast algorithm allows us to avoid the update of Lagrange multiplier and easily deal with constraints, such as piecewise constant, volume and length of the interfaces. Finally, we show several optimum design examples to confirm the validity and efficiency of our method.
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