上海交通大学学报

上海交通大学学报 >

2024 , Vol. 58 >Issue 3: 333 - 341

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2022.333

机械与动力工程

考虑增材制造填充结构强度的拓扑优化方法

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  • 上海交通大学 机械与动力工程学院,上海 200240
王 辰(1995-),硕士生,从事结构拓扑优化方法研究.
周明东,副教授,博士生导师;E-mail:mdzhou@sjtu.edu.cn.

收稿日期: 2022-08-30

  修回日期: 2022-10-13

  录用日期: 2022-11-10

  网络出版日期: 2024-03-28

基金资助

国家重点研发计划(2021YFB1715400);国家自然科学基金(52075321)

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Topology Optimization of Infill Structures for Additive Manufacturing Considering Structural Strength

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  • School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 2022-08-30

  Revised date: 2022-10-13

  Accepted date: 2022-11-10

  Online published: 2024-03-28

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摘要

提出了一种针对给定薄壁外形的内填充结构拓扑优化方法,用于设计具有优化结构强度、满足增材制造几何要求的轻量化多孔填充结构.基于p范数函数计算结构最大应力近似值,并以最小化该值为优化目标,以提升填充结构强度.通过在优化模型中考虑局部体积约束,获得多孔填充构型,并进一步提出局部体积上限动态调整策略,提升优化过程稳定性,避免优化过程约束过强导致结构构型和应力响应突变甚至优化失败.此外,考虑了自支撑约束,保证优化所得填充结构自支撑,且支撑给定薄壁外形的悬空区域.引入了基于两场公式的优化模型,确保优化所得填充结构满足增材制造最小尺寸要求.数值算例表明,所提方法优化结果与以最小化柔度为目标的填充结构拓扑优化结果相比,在相同质量下结构强度得到了显著提升.在此基础上,在优化模型中考虑了柔度约束,讨论了填充结构刚度、强度的相互影响规律.

关键词： 填充结构强度; 拓扑优化; 增材制造; p范数应力

本文引用格式

王辰, 刘义畅, 陆宇帆, 赖章龙, 周明东 . 考虑增材制造填充结构强度的拓扑优化方法[J]. 上海交通大学学报, 2024 , 58(3) : 333 -341 . DOI: 10.16183/j.cnki.jsjtu.2022.333

Abstract

A topology optimization approach is proposed to design lightweight and high-strength porous infill structures for additive manufacturing. The maximum stress approximated by the p-norm function is minimized to enhance the structural strength. A local volume constraint is utilized to generate porous infill pattern. A continuation strategy on the upper bound of the local volume fraction is proposed to improve the stability of the optimization process and avoid the sharp rising of stress. An overhang constraint is utilized to make sure that the optimized infill structures are self-supporting and can support the given shell. Besides, two-field-based topology optimization formulations are used to ensure that the optimized infill structures satisfy the minimum length scale for additive manufacturing. The numerical results show that the optimized infill structures can significantly improve the structural strength compared with the optimized design of compliance minimization problem at the same weight. A compliance constraint is further imposed in the optimization model and the relation between stiffness and strength of the infill structures is also discussed.

Key words： infill structures strength; topology optimization; additive manufacturing; p-norm stress

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