摘要
为了提高简单立方(SC)点阵结构的平压力学性能,在ABAQUS中对SC单胞建立了周期边界约束方程,并通过ESO算法对周期边界条件下的SC单胞进行了拓扑优化设计。随后对优化SC单胞的等效弹性模量进行了求解,发现优化SC单胞的等效弹性模量明显优于传统SC单胞,从外部去除单胞材料可使优化单胞等效压缩模量提高27.14%,从内部去除单胞材料可使单胞等效剪切模量提高46.18%。最后将优化SC单胞从单胞层面扩展到宏观结构中,探究了三类SC点阵结构的静态平压性能。研究表明,周期边界条件与ESO相结合的拓扑优化方法,可使SC结构静态平压时的抵抗力得到明显提升。相比传统SC点阵结构,优化后的SC点阵结构抵抗力提高了20%以上。
In order to improve the flat pressure performance of simple cubic(SC)lattice structures,a periodic boundary constraint equation is established for an SC unit cell in ABAQUS,and the topological optimization design of an SC unit cell having aperiodic boundary condition is carried out by ESO algorithm.Subsequently,the equivalent elastic modulus of optimized SC unit cell is determined,and it is found that the equivalent elastic modulus of the optimized SC unit cell is significantly higher than that of a traditional SC unit cell,and the equivalent compression modulus of the optimized unit cell could be increased by 27.14%by removing the material from the outside,and the equivalent shear modulus of the unit cell could be increased by 46.18%.Finally,the optimized SC unit cell is extended from the unit cell level to the macroscopic structure,and the static flat pressure performance of the three types of SC lattice structures is explored.The results show that:the topology optimization method combining periodic boundary conditions and ESO can significantly improve the resistance of SC structures under static compression.Compared with the traditional SC lattice structure,the resistance of the optimized SC lattice structure is increased by more than 20%.
作者
杨孝峰
盛亚鹏
苏宇锋
YANG Xiao-feng;SHENG Ya-peng;SU Yu-feng(School of Mechanical and Power Engineering,Zhengzhou University,Zhengzhou 450001,China)
出处
《计算力学学报》
CAS
CSCD
北大核心
2024年第3期513-518,533,共7页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(U1904169)资助项目.
关键词
点阵结构
周期边界条件
ESO算法
拓扑优化
平压
lattice structure
periodic boundary conditions
ESO algorithm
topology optimization
compression
