结构的分析和最小的重量设计上的格子材料的微观结构的尺寸效果与 extented 被学习在纸的多尺度的有限元素方法(EMsFEM ) 。与基础材料和配置的一样的卷,结构的排水量和最大的轴的应力有微观结构的不同尺寸的格子结构微杆被分析并且比较。这被指出与传统的数学 homogenization 方法不同, EMsFEM 对分析与格子材料被组成并且数量创作了的结构合适有限尺寸微杆。由格子材料组成的结构的最小的重量设计随 downscaling 计算被学习在压力限制下面他们女性微杆。最佳的设计结果证明结构的重量与基本子单元房间的尺寸的减少增加。纸在复杂工程构造为格子材料的分析和优化论述一条新途径。
The size effects of microstructure of lattice materials on structural analysis and minimum weight design are studied with extented multiscale finite element method(EMsFEM) in the paper. With the same volume of base material and configuration, the structural displacement and maximum axial stress of micro-rod of lattice structures with different sizes of microstructure are analyzed and compared.It is pointed out that different from the traditional mathematical homogenization method, EMsFEM is suitable for analyzing the structures which is constituted with lattice materials and composed of quantities of finite-sized micro-rods.The minimum weight design of structures composed of lattice material is studied with downscaling calculation of EMsFEM under stress constraints of micro-rods. The optimal design results show that the weight of the structure increases with the decrease of the size of basic sub-unit cells. The paper presents a new approach for analysis and optimization of lattice materials in complex engineering constructions.