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论文应用拓展的多尺度有限元法(Extended Multiscale Finite Element Method),以微观构件的截面积为设计变量,研究了体积约束下点阵材料构成结构的最小柔顺性设计问题.建立了适应具有复杂几何形状和载荷边界的点阵材料结构的优化模型,应用序列二次规划算法对悬臂梁和L形梁算例在线性边界条件和周期性边界条件下进行了优化设计,讨论了点阵材料微结构尺寸效应对优化结果的影响,验证了优化模型和求解算法的可靠性,为点阵材料应用于复杂实际工程结构的优化设计提供了新的技术手段.
In this paper, the Extended Multiscale Finite Element Method (FEM) is used to design the minimum compliance design of the lattice structure under the volume constraints, taking the cross-sectional area of the microstructure as the design variable. Shape and load boundary of the lattice material structure optimization model, the application of quadratic programming algorithm cantilever beam and L-beam beam in the case of the linear boundary conditions and periodic boundary conditions were optimized design to discuss the lattice material microstructure The effect of the size effect on the optimization results verifies the reliability of the optimization model and the solving algorithm and provides a new technical means for the optimal design of the lattice material used in complex and practical engineering structures.