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考虑微观尺度和宏观尺度的关联,将微结构胞元设计和多尺度均匀化设计结合,建立了由相同尺寸和内部构型的微结构胞元组成的复合材料结构的材料/结构一体化动力学优化设计方法,给出了相应的算例。方法中引入了微观和宏观两个尺度上的独立密度变量,采用材料属性的合理近似模型对密度进行惩罚,利用有限元超单元技术建立材料与结构的联系。基于算例获得了超单元尺寸与微观、宏观材料用量对结构拓扑构型的影响规律。将算例结果与已有方法的结果比较,表明本文方法具有合理有效性,可作为对轻质结构进行动力学设计的一种新方法。
Considering the correlation between microscopic scale and macroscopic scale, the combination of microstructure cell design and multi-scale homogenization design was used to establish the material / structure integration kinetics of the composite structure composed of microstructural cells with the same size and internal configuration Optimize the design method, given the corresponding examples. In the method, independent density variables at the microscopic and macroscopic scales are introduced. The density is punished by a reasonable approximate model of material properties, and the relationship between materials and structures is established by using the finite element superunit technology. The influences of the superelement size, microstructure and the amount of macroscopic materials on the topology of the structure are obtained based on examples. Comparing the result of the example with the result of the existing method, it shows that the method in this paper is reasonable and effective and can be used as a new method for the dynamic design of lightweight structure.