Journal
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
Volume 45, Issue 3, Pages 451-466Publisher
SPRINGER
DOI: 10.1007/s00158-011-0708-x
Keywords
Skeletal structure; Topology optimization; Automatic grouping; Genetic algorithm; Frequency constraint
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Funding
- National Natural Foundation of China [50878038, 90816025]
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This paper studies singular optimum topology of skeletal structures with frequency constraints. To capture the local flexural vibration modes of members, skeletal structure should be approximately modeled as frame structure. However, the topology optimization of frame structures has the characteristics of singular optimum and disjoint feasible domain. For the discrete nature of such problem, the optimum design can't be obtained by continuous search. To handle the difficulty, the automatic grouping genetic algorithm with improvements in crossover operator and penalty function is applied to optimize frame structures. Two examples demonstrate the effectiveness of the proposed approach.
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