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简单立方点阵结构静态平压性能分析
Static Compression Performance Analysis of Simple Cubic Lattice Structure
投稿时间:2022-09-28  修订日期:2022-10-24
DOI:
中文关键词:  点阵结构  周期边界条件  ESO算法  拓扑优化  平压
英文关键词:lattice structure  periodic boundary conditions  ESO algorithm  topology optimization  compression
基金项目:
作者单位邮编
杨孝峰 郑州大学 450001
盛亚鹏 郑州大学 
苏宇锋 郑州大学 450001
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中文摘要:
      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,得出结论: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的提升。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。
英文摘要:
      In order to improve the flat pressure performance of simple cubic (SC) lattice structures, a periodic boundary constraint equation is established for SC unit cell in ABAQUS, and the topological optimization design of SC unit cell under periodic boundary condition is carried out by ESO algorithm. Subsequently, the equivalent elastic modulus of optimized SC unit cell was solved, and it was found that the equivalent elastic modulus of optimized SC unit cell was significantly better than that of traditional SC unit cell, and the equivalent compression modulus of optimized unit cell could be increased by 27.14% by removing material from the outside, and the equivalent shear modulus of 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, the static flat pressure performance of the three types of SC lattice structure is explored, and 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%.
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