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采用均匀化方法,以宏观结构柔顺度为优化目标,开展了多相多孔材料/结构的集成优化设计。借鉴仿生思想,提出两尺度材料/结构构成模型,归纳出微结构精细设计的选择判据。结合伪密度法和周长控制消除了多相材料分布的棋盘格。采用分层优化方法并结合算例研究了实体材料模量相对比值、材料组分变化对优化结果的影响。计算结果说明所提出的结构构成模型能有效地应用于多相多孔材料/结构的优化设计,为新型多功能材料/结构的设计拓宽了思路。
Using the homogenization method and the optimization of macro-structure compliance, an integrated optimization design of multiphase porous materials / structures was carried out. Basing on the bionics idea, a two-scale material / structure composition model is proposed, and the selection criterion of fine structure design is summarized. Combining pseudo-density method and perimeter control eliminates the checkerboard of multi-phase material distribution. The hierarchical optimization method and the example are used to study the influence of the relative ratio of solid material modulus and the change of material composition on the optimization results. The calculation results show that the proposed structural model can be effectively applied to the optimal design of multi-phase porous materials / structures, and broaden the train of thought for the design of novel multi-functional materials / structures.