多区域变参数功能梯度结构拓扑优化方法
Variable parameter-based topology optimization of functionally-graded lattice structures with multi-domains
李智忠 1刘龙 1王天赐 1彭翔 2王柏村 3易兵4
作者信息
- 1. 中南大学交通运输工程学院,湖南 长沙 410075
- 2. 浙江工业大学机械工程学院,浙江 杭州 310014
- 3. 浙江大学 机械工程学院,浙江 杭州 310058
- 4. 中南大学交通运输工程学院,湖南 长沙 410075;浙江大学流体动力与机电系统国家重点实验室,浙江 杭州 310058
- 折叠
摘要
为了在构件中构造形态多变和性能各异的功能梯度结构,提出一种多区域变参数的功能梯度结构拓扑优化方法,在保证构建结构单元连续性的同时,构建了多区域变参数的功能梯度结构.将设计域划分为多个区域,采用Helmholtz PDE方程对每个区域的密度变量进行过滤处理,然后施加不同的局部体积约束;将局部约束整合到传统变密度拓扑优化方法中,达到了不同区域生成不同功能梯度微结构的效果,同时区域之间的结构保持了良好的连续性.最后,通过悬臂梁和简支梁多区域功能梯度结构拓扑优化设计和制造,验证了所提方法的有效性.
Abstract
To construct functionally-graded structures with different shapes and properties,a variable parameter-based topology optimization of functionally-graded lattice structures with multi-domains was proposed,and a func-tionally-graded lattice structures with smooth continuity was constructed both within each domain and between dif-ferent domains.The design domain was divided into multiple domains,and the Helmholtz PDE equation was used to filter the density of each domain,and different local volume constraint was imposed for each domain.Then the local volume constraint was integrated into the Solid Isotropic Material with Penalization(SIMP)based topology optimi-zation method to achieve the construction of different functionally-graded lattices in each domain,while maintaining smooth continuity of structures in and between domains.The effectiveness of the proposed method was verified through the design and manufacture for the optimized functionally-graded lattice structures with the cantilever beam and the MBB beam.
关键词
拓扑优化/功能梯度结构/多区域/变参数Key words
topology optimization/functionally-graded structures/multi-domains/variable parameter引用本文复制引用
基金项目
国家自然科学基金资助项目(51975589)
流体传动与机电系统国家重点实验室开放资助项目(GZKF-202011)
湖南省科技计划资助项目(2020GK2096)
中央高校基本科研业务费专项资金资助项目(1053320212842)
出版年
2024
NETL
NSTL
万方数据