方向性热膨胀系数可设计点阵结构均匀化性能分析  

Homogenization analysis of lattice structure with designable directional thermal expansion coefficient

作　　者：王帅 牛飞[2] 牛斌 WANG Shuai;NIU Fei;NIU Bin

机构地区：[1]大连理工大学机械工程学院,辽宁大连116024 [2]中国运载火箭技术研究院,北京100076

出　　处：《现代机械》2021年第5期29-34,共6页Modern Machinery

摘　　要：周期性点阵结构因具有大量微观结构,直接分析较为费时,通常采用近似等效模型。本文针对单方向热膨胀系数可设计的点阵结构,采用渐近均匀化方法获得等效模量和等效热膨胀系数,进而针对点阵结构单胞周期性排列构成的简单几何和复杂拓扑构型的结构,分别采用均匀化后等效模型和点阵离散模型进行有限元分析,在保证点阵结构材料用量的同时分别改变点阵填充数目、点阵填充形式、载荷和边界条件,对比两者在温度和力载荷作用下的位移响应,讨论渐近均匀化方法预测的准确性。Since the periodic lattice structure has a large number of microstructures,its direct analysis is relatively time-consuming,and an approximate equivalent model is usually used.In this paper,the lattice structure with designable unidirectional thermal expansion coefficient is considered,and the asymptotic homogenization method is used to obtain the equivalent modulus and equivalent thermal expansion coefficient of the lattice structure.Then a simple structure and a complex topological structure formed by the periodic arrangement of the unit cells are analyzed.The equivalent model after homogenization and the discrete model are used for the finite element analysis.While ensuring the same material fraction of the lattice structure,the number of lattice filling,the form of lattice filling,the load and the boundary conditions are changed.Under these conditions,the displacement responses of the equivalent model and the discrete model under different temperature and force load are compared.The accuracy of the prediction of the asymptotic homogenization method is discussed.

关 键 词：双材料点阵 可设计热膨胀系数 渐近均匀化 

分 类 号：TH122[机械工程—机械设计及理论]